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Revision: 1.1
Committed: Tue Dec 28 01:05:16 2004 UTC (19 years, 9 months ago) by root
Branch: MAIN
CVS Tags: rel-1_1, rel-1_2, HEAD
Log Message:
*** empty log message ***

File Contents

# Content
1 package PDL::Audio::Scales;
2
3 use PDL::Lite;
4
5 require Exporter;
6
7 @EXPORT = qw(scale_list get_scale);
8
9 $VERSION = 1.0;
10
11 =head1 NAME
12
13 PDL::Audio::Scales - Over 1200 musical scales in PDL format.
14
15 =head1 SYNOPSIS
16
17 use PDL::Audio::Scales;
18
19 @names = scale_list;
20
21 # returns [1 1 1.5 5 7 8 8.5 1.2]
22 $scale = get_scale 'arist_chromrej';
23
24 ($scale, $desc) = get_scale 'arist_chromrej';
25 # sets $desc to "Aristoxenos Rejected Chromatic, 6 + 3 + 21 parts 7"
26
27 =head1 EXAMPLE
28
29 The following script will play all the scales (unmodified, it will run for hours) :)
30
31 use PDL::Audio;
32 use PDL::Audio::Scales;
33
34 sub osc {
35 my ($dur,$freq) = @_;
36 (gen_asymmetric_fm $dur, $freq, 0.9, 0.6)*
37 (gen_env $dur, [0, 1, 2, 9, 10], [0, 1, 0.6, 0.3, 0]);
38 }
39
40 for (scale_list) {
41 my ($scale, $desc) = get_scale($_);
42 my @mix;
43 my $i;
44 print "$_ [$desc] $scale\n";
45 my $l = $scale->list;
46 for (($scale*880)->list) {
47 push @mix, ($i*0.2*44100 , osc 0.3*44100, $_/44100);
48 push @mix, ($l*0.2*44100+0.1, osc 0.8*44100, $_/44100);
49 $i++;
50 }
51 (audiomix @mix)->scale2short->playaudio;
52 }
53
54 =head1 AUTHOR
55
56 This file was translated from clm-2/scales.cl (common lisp music). the original comments are:
57
58 ;;; This file contains more than 1100 musical scales, each one
59 ;;; a separate list variable, containing notes as cents or ratios.
60 ;;; The first note of 1/1 or 0.0 cents is implied. The data was
61 ;;; translated from ftp://ftp.cs.ruu.nl/pub/MIDI/DOC/scales.zip
62 ;;; (a collection of around 1100 files) by Bill Schottstaedt
63 ;;; 24-Aug-95.
64 ;;;
65 ;;; These scales were brought together mostly by John Chalmers
66 ;;; (non12@cyber.net) and Manuel Op de Coul (coul@ezh.nl).
67 ;;;
68 ;;; The reference for the Greek scales in this archive is:
69 ;;; John H. Chalmers: Divisions of the Tetrachord, 1993.
70 ;;; Frog Peak, Box 1052, Lebanon NH 03766, USA.
71 ;;;
72 ;;; If you know of scales not in this archive please send them to
73 ;;; Manuel Op de Coul (coul@ezh.nl).
74
75 ;;; since doing this translation, another 100 or so scales have been added:
76 ;;;
77 ;;; ----------------
78 ;;; Date: Thu, 12 Oct 1995 06:58:42 -0700
79 ;;; From: COUL@ezh.nl (Manuel Op de Coul)
80 ;;; Subject: Updated scale archive
81 ;;;
82 ;;; The scale archive with the collections of John Chalmers and myself
83 ;;; has been updated and contains now over 1250 scales.
84 ;;; The scales.doc file contains the complete listing. It's found here:
85 ;;;
86 ;;; http://www.cs.ruu.nl/pub/MIDI/DOC/scales.doc (readme file, ASCII)
87 ;;; http://www.cs.ruu.nl/pub/MIDI/DOC/scales.zip (ZIP file, binary)
88 ;;;
89 ;;; Use the "-a" option while unzipping. The size of the ZIP file is about
90 ;;; 284 Kb. FTP is possible also from ftp.cs.ruu.nl.
91 ;;; The file format of the scales is that of my tuning program Scala,
92 ;;; which I hope will be available soon. The files are text files so also
93 ;;; usable without it.
94 ;;;
95 ;;; Manuel Op de Coul coul@ezh.nl
96 ;;; ----------------
97
98 =head1 SEE ALSO
99
100 perl(1), L<PDL>, L<PDL::Audio>.
101
102 =cut
103
104 sub _parse {
105 while (<DATA>) {
106 /^#(.*)$/ or die "$_";
107 my $desc = $1;
108 <DATA> =~ /^(\S+)\s+([0-9\/. ]+)$/ or die "$_";
109 my ($name, $def) = ($1,$2);
110 my @def;
111 $name =~ y/A-Z -/a-z__/;
112 for (split / /, $def) {
113 if (m%/%) {
114 push @def, eval $_;
115 } else {
116 push @def, 2 ** ($_ / 1200);
117 }
118 }
119 $scales{$name} = [pdl(@def), $desc];
120 }
121 }
122
123 sub scale_list() {
124 _parse unless %scales;
125 sort keys %scales;
126 }
127
128 sub get_scale($) {
129 _parse unless %scales;
130 wantarray ? @{$scales{$_[0]}} : $scales{$_[0]}->[0];
131 }
132
133 1;
134
135 __DATA__
136 #5 out of 19-tET 5
137 05-19 252.632 505.263 757.895 1010.526 1200.0
138 #7 out of 19-tET, major 7
139 07-19 189.474 378.947 505.263 694.737 884.211 1073.684 1200.0
140 #8 out of 19-tET 8
141 08-19 126.316 315.789 442.105 568.421 757.895 884.211 1010.526 1200.0
142 #10 out of 19-tET. For 9 out of 19 discard degree 3 10
143 10-19 126.316 252.632 315.789 442.105 568.421 694.737 821.053 947.368 1073.684 1200.0
144 #11 out of 19-tET 11
145 11-19 126.316 189.474 315.789 442.105 568.421 631.579 757.895 884.211 1010.526 1073.684 1200.0
146 #12 out of 19-tET scale from Mandelbaum's dissertation 12
147 12-19 63.158 189.474 252.632 378.947 505.263 568.421 694.737 757.895 884.211 947.368 1073.684 1200.0
148 #13 out of 19-tET 13
149 13-19 126.316 189.474 315.789 378.947 505.263 568.421 694.737 757.895 884.211 947.368 1073.684 1136.842 1200.0
150 #14 out of 19-tET 14
151 14-19 63.158 189.474 252.632 315.789 442.105 505.263 568.421 694.737 757.895 821.053 947.368 1010.526 1136.842 1200.0
152 #2 out of 1/7 1/5 1/3 1 3 5 7 CPS 19
153 19-any 16/15 35/32 8/7 7/6 6/5 5/4 21/16 4/3 7/5 10/7 3/2 32/21 8/5 5/3 12/7 7/4 64/35 15/8 2/1
154 #1.3.5.7.9.11.13 2)7 21-any, 1.3 tonic 21
155 21-any 33/32 13/12 9/8 55/48 7/6 39/32 5/4 21/16 65/48 11/8 35/24 143/96 3/2 77/48 13/8 5/3 7/4 11/6 15/8 91/48 2/1
156 #12 and 18-tET mixed 24
157 24-36 66.667 100.000 133.333 200.000 266.667 300.000 333.333 400.000 466.667 500.000 533.333 600.000 666.667 700.000 733.333 800.000 866.667 900.000 933.333 1000.000 1066.667 1100.000 1133.333 1200.0
158 #12 and 15-tET mixed 24
159 24-60 80.000 100.000 160.000 200.000 240.000 300.000 320.000 400.000 480.000 500.000 560.000 600.000 640.000 700.000 720.000 800.000 880.000 900.000 960.000 1000.000 1040.000 1100.000 1120.000 1200.0
160 #6)8 28-any from 1.3.5.7.9.11.13.15, only 26 tones 26
161 28-any 65/64 15/14 13/12 195/176 65/56 13/11 39/32 5/4 195/154 13/10 65/48 15/11 39/28 13/9 65/44 3/2 65/42 13/8 5/3 195/112 39/22 65/36 13/7 15/8 65/33 2/1
162 #30/29 x 29/28 x 28/27 plus 6/5 9
163 30-29-min3 30/29 15/14 10/9 4/3 3/2 45/29 45/28 5/3 2/1
164 #3)8 56-any from 1.3.5.7.9.11.13.15, 1.3.5 tonic, only 48 notes 48
165 56-any 65/64 33/32 1001/960 21/20 13/12 35/32 11/10 143/128 9/8 91/80 7/6 143/120 77/64 39/32 99/80 5/4 77/60 13/10 21/16 429/320 11/8 7/5 45/32 91/64 231/160 117/80 143/96 3/2 91/60 99/64 63/40 77/48 13/8 33/20 27/16 273/160 55/32 7/4 143/80 9/5 117/64 11/6 15/8 91/48 77/40 39/20 63/32 2/1
166 #1.3.5.7.11.13.17.19 4)8 70-any, tonic 1.3.5.7 70
167 70-any 323/320 2717/2688 143/140 247/240 3553/3360 17/16 13/12 2431/2240 209/192 4199/3840 11/10 247/224 187/168 221/192 323/280 187/160 19/16 143/120 2717/2240 17/14 209/168 4199/3360 2431/1920 143/112 247/192 13/10 209/160 221/168 3553/2688 187/140 323/240 19/14 11/8 221/160 2717/1920 17/12 323/224 2431/1680 247/168 143/96 209/140 247/160 187/120 4199/2688 11/7 221/140 19/12 3553/2240 2717/1680 13/8 187/112 323/192 17/10 143/84 46189/26880 209/120 247/140 143/80 2431/1344 11/6 221/120 3553/1920 13/7 209/112 4199/2240 19/10 323/168 187/96 221/112 2/1
168 #Ancient Greek Aeolic 7
169 aeolic 9/8 32/27 4/3 3/2 128/81 16/9 2/1
170 #Xylophone from West Africa 7
171 african 152.000 287.000 533.000 724.000 890.000 1039.000 1200.0
172 #Agricola's Monochord 12
173 agricola 135/128 9/8 1215/1024 81/64 4/3 45/32 3/2 405/256 27/16 16/9 243/128 2
174 #Al-Farabi Syn Chrom 7
175 al-farabi 16/15 8/7 4/3 3/2 8/5 12/7 2/1
176 #Al-Farabi's Chromatic permuted 7
177 AL-FARABI_chrom 16/15 56/45 4/3 3/2 8/5 28/15 2/1
178 #Al-Farabi's Diatonic 7
179 al-farabi_diat 8/7 64/49 4/3 3/2 12/7 96/49 2/1
180 #Permuted form of Al-Farabi's reduplicated 10/9 diatonic genus 7
181 AL-FARABI_diat2 10/9 6/5 4/3 3/2 5/3 9/5 2/1
182 #Dorian mode of Al-Farabi's 10/9 Diatonic 7
183 AL-FARABI_dor 27/25 6/5 4/3 3/2 81/50 9/5 2/1
184 #Dorian mode of Al-Farabi's Diatonic 7
185 AL-FARABI_DOR2 49/48 7/6 4/3 3/2 49/32 7/4 2/1
186 #Terry Riley's Harp of New Albion scale 12
187 albion 16/15 9/8 6/5 5/4 4/3 64/45 3/2 8/5 5/3 16/9 15/8 2
188 #Wendy Carlos' Alpha scale with perfect fifth divided in nine 18
189 alpha 78.000 156.000 234.000 312.000 390.000 468.000 546.000 624.000 702.000 780.000 858.000 936.000 1014.000 1092.000 1170.000 1248.000 1326.000 1404.000
190 #Wendy Carlos' Alpha prime scale with perfect fifth divided by eightteen 36
191 alphap 39.000 78.000 117.000 156.000 195.000 234.000 273.000 312.000 351.000 390.000 429.000 468.000 507.000 546.000 585.000 624.000 663.000 702.000 741.000 780.000 819.000 858.000 897.000 936.000 975.000 1014.000 1053.000 1092.000 1131.000 1170.000 1209.000 1248.000 1287.000 1326.000 1365.000 1404.000
192 #Arabic 17-tone Pythagorean mode 17
193 arabic 256/243 65536/59049 9/8 32/27 8192/6561 81/64 4/3 1024/729 262144/177147 3/2 128/81 32768/19683 27/16 16/9 4096/2187 1048576/531441 2/1
194 #From Fortuna. Try C or G major 12
195 arabic1 100.000 200.000 300.000 350.000 500.000 600.000 700.000 800.000 900.000 1000.000 1050.000 1200.0
196 #From Fortuna. Try C or F minor 12
197 arabic2 100.000 150.000 300.000 400.000 500.000 600.000 700.000 18/11 900.000 1000.000 1100.000 1200.0
198 #Archytas chromatic 7
199 arch_chrom 28/27 9/8 4/3 3/2 14/9 27/16 2/1
200 #Archytas's Diatonic, also Lyra tuning 7
201 ARCH_DIAT 28/27 32/27 4/3 3/2 14/9 16/9 2/1
202 #Dorian mode of Archytas's Chromatic with added 16/9 8
203 arch_dor 28/27 9/8 4/3 3/2 14/9 16/9 27/16 2/1
204 #Archytas Enharmonic 7
205 arch_enh 28/27 16/15 4/3 3/2 14/9 8/5 2/1
206 #Archytas's enharmonic with added 16/9 8
207 ARCH_ENH2 28/27 16/15 4/3 3/2 14/9 16/9 8/5 2/1
208 #Complex 9 of p. 113 based on Archytas's Enharmonic 7
209 arch_enh3 28/27 16/15 9/7 4/3 48/35 12/7 2/1
210 #Permutation of Archytas's Enharmonic with the 36/35 first 7
211 ARCH_ENHp 36/35 16/15 4/3 3/2 54/35 8/5 2/1
212 #Complex 6 of p. 113 based on Archytas's Enharmonic 7
213 arch_enht 36/35 28/27 16/15 9/7 4/3 27/14 2/1
214 #Complex 5 of p. 113 based on Archytas's Enharmonic 7
215 ARCH_ENHt2 28/27 16/15 5/4 4/3 15/8 35/18 2/1
216 #Complex 1 of p. 113 based on Archytas's Enharmonic 7
217 ARCH_ENHT3 28/27 16/15 784/729 448/405 4/3 112/81 2/1
218 #Complex 8 of p. 113 based on Archytas's Enharmonic 7
219 arch_enht4 28/27 16/15 5/4 35/27 4/3 5/3 2/1
220 #Complex 10 of p. 113 based on Archytas's Enharmonic 7
221 ARCH_ENHT5 245/243 28/27 16/15 35/27 4/3 35/18 2/1
222 #Complex 2 of p. 113 based on Archytas's Enharmonic 7
223 arch_enht6 28/27 16/15 448/405 256/225 4/3 64/45 2/1
224 #Complex 11 of p. 113 based on Archytas's Enharmonic 7
225 arch_enht7 36/35 28/27 16/15 192/175 4/3 48/35 2/1
226 #Multiple Archytas 12
227 arch_mult 28/27 16/15 5/4 9/7 4/3 112/81 3/2 14/9 8/5 15/8 27/14 2/1
228 #Archytas/Ptolemy Hybrid 1 12
229 arch_ptol 28/27 16/15 10/9 32/27 4/3 112/81 3/2 14/9 8/5 5/3 16/9 2/1
230 #Archytas/Ptolemy Hybrid 2 12
231 arch_ptol2 28/27 16/15 9/8 6/5 4/3 112/81 3/2 14/9 8/5 27/16 9/5 2/1
232 #Archytas Septimal 12
233 arch_sept 28/27 16/15 9/8 32/27 4/3 112/81 3/2 14/9 8/5 27/16 16/9 2/1
234 #Ariel 1 12
235 ariel1 27/25 9/8 6/5 5/4 4/3 25/18 3/2 8/5 5/3 9/5 15/8 2
236 #Ariel 2 12
237 ariel2 16/15 10/9 6/5 5/4 4/3 25/18 3/2 8/5 5/3 9/5 15/8 2
238 #Ariel's 12-tone JI scale 12
239 ariel3 16/15 10/9 32/27 100/81 4/3 25/18 3/2 8/5 5/3 16/9 50/27 2/1
240 #Ariel's 31-tone system 31
241 ariel_31 128/125 25/24 16/15 625/576 9/8 144/125 75/64 6/5 625/512 5/4 32/25 125/96 4/3 512/375 25/18 36/25 375/256 3/2 192/125 25/16 8/5 1024/625 5/3 128/75 125/72 16/9 1152/625 15/8 48/25 125/64 2/1
242 #PsAristo Arch. Enharmonic, 4 + 3 + 23 parts, similar to Archytas' enharmonic 7
243 arist_archenh 66.667 116.667 500.000 700.000 766.667 816.667 1200.0
244 #Dorian Mode, Neo-Chromatic tetrachord, 6 + 18 + 6 parts 7
245 arist_chrom 100.000 400.000 500.000 700.000 800.000 1100.000 1200.0
246 #Dorian Mode, a 1:2 Chromatic, 8 + 18 + 4 parts 7
247 arist_chrom2 133.333 433.333 500.000 700.000 833.333 1133.333 1200.0
248 #PsAristo 3 Chromatic, 7 + 7 + 16 parts 7
249 arist_chrom3 445/416 230/201 295/221 442/295 928/579 1159/676 2/1
250 #PsAristo Chromatic, 5.5 + 5.5 + 19 parts 7
251 ARIST_CHROM4 91.667 183.333 500.000 700.000 791.667 883.333 1200.0
252 #PsAristo Ch/Enh, 3 + 9 + 18 parts 7
253 arist_chromenh 50.000 200.000 500.000 700.000 770.000 900.000 1200.0
254 #Aristo's Inverted Chromatic, Dorian Mode 18 + 6 + 6 parts 7
255 arist_chrominv 300.000 400.000 500.000 700.000 1000.000 1100.000 1200.0
256 #Aristoxenos Rejected Chromatic, 6 + 3 + 21 parts 7
257 arist_chromrej 100.000 150.000 500.000 700.000 800.000 850.000 1200.0
258 #Unmelodic Chromatic, genus of Aristoxenos, Dorian Mode, 4.5 + 3.5 + 22 parts 7
259 ARIST_CHROMunm 75.000 133.333 500.000 700.000 775.000 833.333 1200.0
260 #Phrygian octave species on E, 12 + 6 + 12 parts 7
261 arist_diat 200.000 300.000 500.000 700.000 900.000 1000.000 1200.0
262 #PsAristo 2 Diatonic, 7 + 11 + 12 parts 7
263 arist_diat2 116.667 300.000 500.000 700.000 816.667 1000.000 1200.0
264 #PsAristo Diat 3, 9.5 + 9.5 + 11 parts 7
265 ARIST_DIAT3 158.333 316.667 500.000 700.000 858.333 1016.667 1200.0
266 #PsAristo Diatonic, 8 + 8 + 14 parts 7
267 arist_diat4 133.333 266.667 500.000 700.000 833.333 966.667 1200.0
268 #PsAristo Redup. Diatonic, 14 + 2 + 14 parts 7
269 arist_diatdor 233.333 266.667 500.000 700.000 933.333 966.667 1200.0
270 #Lydian octave species on E, Major Mode, 12 + 12 + 6 parts 7
271 arist_diatinv 200.000 400.000 500.000 700.000 900.000 1100.000 1200.0
272 #Aristo Redup. Diatonic, Dorian Mode, 14 + 14 + 2 parts 7
273 arist_diatred 233.333 466.667 500.000 700.000 933.333 1166.667 1200.0
274 #PsAristo 2 Redup. Diatonic 2, 4 + 13 + 13 parts 7
275 ARIST_DIATRED2 66.667 283.333 500.000 700.000 766.667 983.333 1200.0
276 #PsAristo 3 Redup. Diatonic, 8 + 11 + 11 parts 7
277 ARIST_DIATRED3 133.333 316.667 500.000 700.000 833.333 1016.667 1200.0
278 #Aristoxenos's Enharmonion, Dorian Mode 7
279 arist_enh 50.000 100.000 500.000 700.000 750.000 800.000 1200.0
280 #PsAristo 2 Enharmonic, 3.5 + 3.5 + 23 parts 7
281 arist_enh2 58.333 116.667 500.000 700.000 758.333 816.667 1200.0
282 #PsAristo Enharmonic, 2.5 + 2.5 + 25 parts 7
283 arist_enh3 41.667 83.333 500.000 700.000 741.667 783.333 1200.0
284 #Aristoxenos's Chromatic Hemiolion, Dorian Mode 7
285 arist_hemchrom 75.000 150.000 500.000 700.000 775.000 850.000 1200.0
286 #PsAristo C/H Chromatic, 4.5 + 7.5 + 18 parts 7
287 ARIST_HEMCHROM2 75.000 200.000 500.000 700.000 775.000 900.000 1200.0
288 #Dorian mode of Aristoxenos' Hemiolic Chromatic according to Ptolemy's interpret 7
289 ARIST_HEMCHROM3 80/77 40/37 4/3 3/2 120/77 60/37 2/1
290 #PsAristo 2nd Hyperenharmonic, 37.5 + 37.5 + 425 7
291 arist_hypenh2 37.500 75.000 500.000 700.000 737.500 775.000 1200.0
292 #PsAristo 3 Hyperenharmonic, 1.5 + 1.5 + 27 parts 7
293 arist_hypenh3 25.000 50.000 500.000 700.000 725.000 750.000 1200.0
294 #PsAristo 4 Hyperenharmonic, 2 + 2 + 26 parts 7
295 arist_hypenh4 33.333 66.667 500.000 700.000 733.333 766.667 1200.0
296 #PsAristo Hyperenharmonic, 23 + 23 + 454 7
297 ARIST_HYPENH5 23.000 46.000 500.000 700.000 723.000 746.000 1200.0
298 #Dorian mode of Aristoxenos's Intense Diatonic according to Ptolemy 7
299 arist_intdiat 20/19 20/17 4/3 3/2 30/19 30/17 2/1
300 #Permuted Aristoxenos's Enharmonion, 3 + 24 + 3 parts 7
301 ARIST_PENH2 50.000 450.000 500.000 700.000 750.000 1150.000 1200.0
302 #Permuted Aristoxenos's Enharmonion, 24 + 3 + 3 parts 7
303 arist_penh3 400.000 450.000 500.000 700.000 1100.000 1150.000 1200.0
304 #PsAristo 2 Chromatic, 6.5 + 6.5 + 17 parts 7
305 arist_pschrom2 108.333 216.667 500.000 700.000 808.333 916.667 1200.0
306 #Aristoxenos's Chromatic Malakon, Dorian Mode 7
307 arist_softchrom 66.667 133.333 500.000 700.000 766.667 833.333 1200.0
308 #PsAristo S. Chromatic, 6 + 16.5 + 9.5 parts 7
309 arist_softchrom2 100.000 375.000 500.000 700.000 800.000 1075.000 1200.0
310 #Aristoxenos's Chromatic Malakon, 9.5 + 16.5 + 6 parts 7
311 arist_SOFTCHROM3 125.000 400.000 500.000 700.000 825.000 1100.000 1200.0
312 #PsAristo S. Chromatic, 6 + 7.5 + 16.5 parts 7
313 ARIST_SOFTCHROM4 100.000 225.000 500.000 700.000 800.000 925.000 1200.0
314 #Dorian mode of Aristoxenos' Soft Chromatic according to Ptolemy's interpretati 7
315 ARIST_SOFTCHROM5 30/29 15/14 4/3 3/2 45/29 45/28 2/1
316 #Aristoxenos's Diatonon Malakon, Dorian Mode 7
317 arist_softdiat 100.000 250.000 500.000 700.000 800.000 950.000 1200.0
318 #Dorian Mode, 6 + 15 + 9 parts 7
319 ARIST_SOFTDIAT2 100.000 350.000 500.000 700.000 800.000 1050.000 1200.0
320 #Dorian Mode, 9 + 15 + 6 parts 7
321 arist_SOFTDIAT3 150.000 400.000 500.000 700.000 850.000 1000.000 1200.0
322 #Dorian Mode, 9 + 6 + 15 parts 7
323 arist_softdiat4 150.000 250.000 500.000 700.000 850.000 950.000 1200.0
324 #Dorian Mode, 15 + 6 + 9 parts 7
325 arist_softdiat5 250.000 350.000 500.000 700.000 950.000 1050.000 1200.0
326 #Dorian Mode, 15 + 9 + 6 parts 7
327 arist_softdiat6 250.000 400.000 500.000 700.000 950.000 1100.000 1200.0
328 #Dorian mode of Aristoxenos's Soft Diatonic according to Ptolemy 7
329 ARIST_SOFTDIAT7 20/19 8/7 4/3 3/2 30/19 12/7 2/1
330 #Aristoxenos's Chromatic Syntonon, Dorian Mode 7
331 arist_synchrom 100.000 200.000 500.000 700.000 800.000 900.000 1200.0
332 #Aristoxenos's Diatonon Syntonon, Dorian Mode 7
333 arist_syndiat 100.000 300.000 500.000 700.000 800.000 1000.000 1200.0
334 #Aristoxenos's Unnamed Chromatic, Dorian Mode 7
335 arist_unchrom 66.667 200.000 500.000 700.000 766.667 900.000 1200.0
336 #Dorian Mode, a 1:2 Chromatic, 8 + 4 + 18 parts 7
337 arist_unchrom2 133.333 200.000 500.000 700.000 833.333 900.000 1200.0
338 #Dorian Mode, a 1:2 Chromatic, 18 + 4 + 8 parts 7
339 ARIST_UNCHROM3 300.000 366.667 500.000 700.000 1000.000 1066.667 1200.0
340 #Dorian Mode, a 1:2 Chromatic, 18 + 8 + 4 parts 7
341 ARIST_UNCHROM4 300.000 433.333 500.000 700.000 1000.000 1133.333 1200.0
342 #Artificial Nam System 9
343 art_nam 11/10 17/14 36/29 4/3 27/20 3/2 33/20 38/21 2/1
344 #Athanasopoulos's Byzantine Liturgical mode Chromatic 7
345 ATHAN_CHROM 150.000 400.000 500.000 700.000 850.000 1100.000 1200.0
346 #Athanasopoulos's Byzantine Liturgical mode 2nd Chromatic 7
347 athan_chrom2 100.000 400.000 500.000 700.000 800.000 1100.000 1200.0
348 #5/4 C.I. again 8
349 auftetf 99/98 33/32 11/10 11/8 16/11 72/49 3/2 8/5
350 #Linear Division of the 11/8, duplicated on the 16/11 8
351 augteta 44/41 22/19 44/35 11/8 16/11 64/41 32/19 64/35
352 #Linear Division of the 7/5, duplicated on the 10/7 8
353 augtetaa 14/13 7/6 14/11 7/5 10/7 20/13 5/3 20/11
354 #Harmonic mean division of 11/8 8
355 augtetb 88/85 44/41 22/19 11/8 16/11 96/85 64/41 32/19
356 #11/10 C.I. 8
357 augtetc 15/14 15/13 5/4 11/8 16/11 120/77 240/143 20/11
358 #11/9 C.I. 8
359 augtetd 27/26 27/25 9/8 11/8 16/11 216/143 432/275 18/11
360 #5/4 C.I. 8
361 augtete 33/32 33/31 11/10 11/8 16/11 3/2 48/31 8/5
362 #9/8 C.I. 8
363 augtetg 33/31 33/29 11/9 11/8 16/11 48/31 48/29 16/9
364 #9/8 C.I. A gapped version of this scale is called AugTetI 8
365 augteth 33/31 11/10 11/9 11/8 16/11 48/31 8/5 16/9
366 #9/8 C.I. comprised of 11:10:9:8 subharmonic series on 1 and 8:9:10:11 on 16/11 6
367 augtetj 11/10 11/9 11/8 16/11 18/11 20/11
368 #9/8 C.I. This is the converse form of AugTetJ 6
369 augtetk 9/8 5/4 11/8 16/11 8/5 16/9
370 #9/8 C.I. This is the harmonic form of AugTetI 6
371 augtetl 9/8 5/4 11/8 16/11 18/11 20/11
372 #Average Bac System 7
373 average 10/9 20/17 4/3 3/2 5/3 30/17 2/1
374 #Avicenna's soft diatonic 7
375 avicenna 10/9 8/7 4/3 3/2 5/3 12/7 2/1
376 #Dorian mode a chromatic genus of Avicenna 7
377 AVICENNA_chrom 36/35 8/7 4/3 3/2 54/35 12/7 2/1
378 #Dorian Mode, a 1:2 Chromatic, 4 + 18 + 8 parts 7
379 AVICENNA_CHROM2 66.667 366.667 500.000 700.000 766.667 1066.667 1200.0
380 #Avicenna's Chromatic permuted 7
381 AVICENNA_CHROM3 10/9 35/27 4/3 3/2 5/3 35/18 2/1
382 #Dorian mode a soft diatonic genus of Avicenna 7
383 AVICENNA_diat 14/13 7/6 4/3 3/2 21/13 7/4 2/1
384 #Dorian mode of Avicenna's (Ibn Sina) Enharmonic genus 7
385 AVICENNA_enh 40/39 16/15 4/3 3/2 20/13 8/5 2/1
386 #Awraamoff Septimal Just 12
387 awraamoff 9/8 8/7 6/5 5/4 21/16 4/3 3/2 8/5 12/7 7/4 15/8 2/1
388 #Bagpipe Tuning 12
389 bagpipe 117/115 146/131 196/169 89/73 141/106 81/59 150/101 125/82 139/84 205/116 11/6 2/1
390 #Highland Bagpipe, from Acustica4: 231 (1954) J.M.A Lenihan and S. McNeill 7
391 BAGPIPEA 9/8 5/4 27/20 3/2 5/3 9/5 2/1
392 #Pythagorean scale with fifth average from Chinese bamboo tubes 23
393 bamboo 48.000 102.000 156.000 204.000 258.000 312.000 366.000 414.000 468.000 522.000 570.000 624.000 678.000 726.000 780.000 834.000 882.000 936.000 990.000 1044.000 1092.000 1146.000 1200.0
394 #Barbour's #1 Chromatic 7
395 BARBOUR_chrom1 55/54 10/9 4/3 3/2 55/36 5/3 2/1
396 #Barbour's #2 Chromatic 7
397 barbour_chrom2 40/39 10/9 4/3 3/2 20/13 5/3 2/1
398 #Barbour's #3 Chromatic 7
399 BARBOUR_CHROM3 64/63 8/7 4/3 3/2 32/21 12/7 2/1
400 #permuted Barbour's #3 Chromatic 7
401 BARBOUR_CHROM3p 9/8 8/7 4/3 3/2 27/16 12/7 2/1
402 #permuted Barbour's #3 Chromatic 7
403 BARBOUR_CHROM3P2 7/6 32/27 4/3 3/2 7/4 16/9 2/1
404 #Barbour's #4 Chromatic 7
405 BARBOUR_CHROM4 81/80 9/8 4/3 3/2 243/160 27/16 2/1
406 #permuted Barbour's #4 Chromatic 7
407 BARBOUR_CHROM4p 10/9 9/8 4/3 3/2 5/3 27/16 2/1
408 #permuted Barbour's #4 Chromatic 7
409 BARBOUR_CHROM4P2 32/27 6/5 4/3 3/2 16/9 9/5 2/1
410 #Barnes-Bach, variation of Young, likely meant for Das Wohltemperierte Klavier 12
411 barnes 256/243 196.198 32/27 392.072 4/3 592.200 698.025 128/81 894.223 16/9 1090.245 1200.0
412 #Guitar scale for Partch's Barstow 18
413 barstow 16/15 11/10 10/9 9/8 8/7 6/5 5/4 4/3 11/8 10/7 3/2 8/5 5/3 12/7 9/5 11/6 15/8 2/1
414 #1)7 7-any from 1.3.5.7.9.11.13 and Schlesinger's "Bastard" Hypodorian Harmonia 7
415 bastard 8/7 16/13 4/3 16/11 8/5 16/9 2/1
416 #Belet, Brian 1992 Proceedings of the ICMC pp.158-161. 13
417 belet 16/15 10/9 9/8 6/5 5/4 4/3 11/8 3/2 8/5 13/8 7/4 15/8 2/1
418 #Wendy Carlos' Beta scale with perfect fifth divided by eleven 22
419 beta 63.800 127.600 191.400 255.200 319.000 382.800 446.600 510.400 574.200 638.000 701.800 765.600 829.400 893.200 957.000 1020.800 1084.600 1148.400 1212.200 1276.000 1339.800 1403.600
420 #Wendy Carlos' Beta prime scale with perfect fifth divided by twentytwo 44
421 betap 31.900 63.800 95.700 127.600 159.500 191.400 223.300 255.200 287.100 319.000 350.900 382.800 414.700 446.600 478.500 510.400 542.300 574.200 606.100 638.000 669.900 701.800 733.700 765.600 797.500 829.400 861.300 893.200 925.100 957.000 988.900 1020.800 1052.700 1084.600 1116.500 1148.400 1180.300 1212.200 1244.100 1276.000 1307.900 1339.800 1371.700 1403.600
422 #Blue Farabi? 7
423 bl-farabi 9/8 45/32 131/90 3/2 15/8 31/16 2/1
424 #Another tuning from Al Farabi, c700 AD 7
425 blue_farabi 9/8 45/32 131/90 3/2 15/8 31/16 2
426 #Boethius's Chromatic. The CI is 19/16 7
427 boeth_chrom 256/243 64/57 4/3 3/2 128/81 32/19 2/1
428 #Boethius's Enharmonic, with a CI of 81/64 and added 16/9 8
429 boeth_enh 512/499 256/243 4/3 3/2 768/499 16/9 128/81 2/1
430 #Boomsliter & Creel basic set of their referential tuning. 12
431 Boomsliter 9/8 7/6 6/5 5/4 4/3 7/5 3/2 8/5 5/3 7/4 9/5 2/1
432 #Bouzourk 8
433 bouzourk 65536/59049 8192/6561 4/3 262144/177147 3/2 27/16 4096/2187 1200.0
434 #Bulgarian bagpipe tuning 12
435 bulgarian 66.000 202.000 316.000 399.000 509.000 640.000 706.000 803.000 910.000 1011.000 1092.000 1200.0
436 #Warren Burt 19-tone Forks. Interval 5(3): pp. 13+23 Winter 1986-87 19
437 burt-forks 28/27 16/15 10/9 9/8 6/5 5/4 9/7 4/3 7/5 10/7 3/2 14/9 8/5 5/3 16/9 9/5 15/8 27/14 2/1
438 #W. Burt's 13diatsub #1 12
439 burt1 26/25 13/12 26/23 13/11 13/10 26/19 13/9 27/17 13/8 26/15 13/7 2/1
440 #W. Burt's 19enhsub #10 12
441 burt10 76/75 38/37 76/73 19/18 19/14 38/27 19/13 152/103 76/51 152/101 38/25 2/1
442 #W. Burt's 19enhharm #11 12
443 burt11 25/19 101/76 51/38 103/76 26/19 27/19 28/19 36/19 73/38 37/19 75/38 2/1
444 #W. Burt's 19diatharm #12 12
445 burt12 22/19 23/19 24/19 25/19 26/19 27/19 28/19 32/19 34/19 36/19 37/19 2/1
446 #W. Burt's 23diatsub #13 12
447 burt13 23/22 23/21 46/41 23/20 23/18 23/17 23/16 23/15 23/14 46/27 23/13 2/1
448 #W. Burt's 23enhsub #14 12
449 burt14 92/91 46/45 92/89 23/22 23/18 23/17 23/16 92/63 46/31 92/61 23/15 2/1
450 #W. Burt's 23enhharm #15 12
451 burt15 30/23 61/46 31/23 63/46 32/23 34/23 36/23 44/23 89/46 45/23 91/46 2/1
452 #W. Burt's 23diatharm #16 12
453 burt16 26/23 27/23 28/23 30/23 32/23 34/23 36/23 40/23 41/23 42/23 44/23 2/1
454 #W. Burt's 13enhsub #2 12
455 burt2 104/103 52/51 104/101 26/25 13/10 104/79 4/3 104/77 26/19 52/33 13/7 2/1
456 #W. Burt's 13enhharm #3 12
457 burt3 14/13 33/26 19/13 77/52 3/2 79/52 20/13 25/13 101/52 51/26 103/52 2/1
458 #W. Burt's 13diatharm #4, see his post 3/30/94 in Tuning Digest #57 12
459 burt4 14/13 15/13 16/13 17/13 18/13 19/13 20/13 22/13 23/13 24/13 25/13 2/1
460 #W. Burt's 17diatsub #5 12
461 burt5 17/16 17/15 17/14 17/13 17/16 34/23 17/11 34/21 17/10 34/19 17/9 2/1
462 #W. Burt's 17enhsub #6 12
463 burt6 68/67 34/33 68/65 17/16 17/12 34/23 17/11 136/87 68/43 8/5 34/21 2/1
464 #W. Burt's 17enhharm #7 12
465 burt7 21/17 5/4 43/34 87/68 22/17 23/17 24/17 32/17 65/34 33/17 67/34 2/1
466 #W. Burt's 17diatharm #8 12
467 burt8 18/17 19/17 20/17 21/17 22/17 23/17 24/17 26/17 28/17 30/17 32/17 2/1
468 #W. Burt's 19diatsub #9 12
469 burt9 38/37 19/18 19/17 19/16 19/14 38/27 19/13 38/25 19/12 38/23 19/11 2/1
470 #Byzantine Palace mode 7
471 byz_palace 18/17 9/7 4/3 3/2 18/11 9/5 2/1
472 #Carlos Harmonic 12
473 carlos_harm 17/16 9/8 19/16 5/4 21/16 11/8 3/2 13/8 27/16 7/4 15/8 2/1
474 #Carlos Super Just 12
475 carlos_super 17/16 9/8 6/5 5/4 4/3 11/8 3/2 13/8 5/3 7/4 15/8 2/1
476 #Catler 24-tone JI from "Over and Under the 13 Limit," 1/1 3(3) 24
477 catler 33/32 16/15 9/8 8/7 7/6 6/5 128/105 16/13 5/4 21/16 4/3 11/8 45/32 16/11 3/2 8/5 13/8 5/3 27/16 7/4 16/9 24/13 15/8 2/1
478 #A 12-tone just tuning by the 17th c inventor and philosopher Salomon de Caus 12
479 caus 126/121 10/9 75/64 5/4 4/3 25/18 3/2 25/16 5/3 16/9 15/8 2
480 #Equal temperament with very good 6/5 and 13/8 13
481 cet105 105.000 210.001 315.001 420.001 525.002 630.002 735.002 840.003 945.003 1050.003 1155.004 1260.004 11/5
482 #13th root of e 13
483 cet133 133.172 266.344 399.516 532.687 665.859 799.031 932.203 1065.375 1198.547 1331.719 1464.890 1598.062 1731.234
484 #24th root of 7 24
485 cet140 140.368 280.736 421.103 561.471 701.839 842.207 982.574 1122.942 1263.310 1403.678 1544.045 1684.413 1824.781 1965.150 2105.517 2245.885 2386.253 2526.621 2666.988 2807.356 2947.724 3088.092 3228.459 7/1
486 #6.625 tET. The 16/3 is the so-called Kidjel Ratio promoted by Kidjel in 60's 16
487 cet181 181.128 362.256 543.383 724.511 905.639 1086.767 1267.895 1449.023 1630.150 1811.278 1992.406 2173.534 2354.663 2535.790 2716.918 16/3
488 #7th root of 11/5 7
489 cet195 195.001 390.001 585.002 780.002 975.003 1170.004 11/5
490 #11th root of 4/3 11
491 cet45 45.277 90.554 135.830 181.107 226.384 271.661 316.938 362.215 407.491 452.768 4/3
492 #30th root of 3 or stretched 19-tET 30
493 cet63 63.399 126.797 190.196 253.594 316.993 380.391 443.790 507.188 570.587 633.985 697.384 760.782 824.181 887.579 950.978 1014.376 1077.775 1141.173 1204.572 1267.970 1331.369 1394.767 1458.166 1521.564 1584.963 1648.361 1711.760 1775.158 1838.557 3/1
494 #88 steps by Gary Morrison 14
495 cet88 88.000 176.000 264.000 352.000 440.000 528.000 616.000 704.000 792.000 880.000 968.000 1056.000 1144.000 1232.000
496 #Heavenly Chimes 3
497 chimes 32/29 1/2 16/29
498 #A scale found on an ancient Chinese bronze instrument from the 3rd century BC 7
499 chin_bronze 8/7 6/5 5/4 4/3 3/2 5/3 2/1
500 #Chinese Flute / Ellis 7
501 chin_flute 178.000 339.000 448.000 662.000 888.000 1103.000 2/1
502 #Observed tuning from chinese sheng or mouth organ 7
503 chin_sheng 210.000 338.000 4/3 715.000 908.000 1040.000 2/1
504 #Choquel/Barbour/Marpurg? 12
505 choquel 25/24 9/8 6/5 5/4 4/3 45/32 3/2 25/16 5/3 20/11 15/8 2/1
506 #Chordal Notes S&H 40
507 chordal 3/2 5/4 7/4 9/4 11/4 13/4 15/4 15/4 15/8 17/8 19/8 19/16 2/1 4/3 8/5 8/7 16/9 16/11 16/13 16/15 7/3 7/2 10/3 8/3 5/2 12/5 12/7 11/9 13/9 17/10 17/5 9/7 9/8 16/9 11/7 7/6 7/5 10/7 6/5 9/5
508 #Tonos-15 Chromatic 7
509 CHROM15 15/14 15/13 15/11 3/2 30/19 5/3 2/1
510 #Inverted Chromatic Tonos-15 Harmonia 7
511 chrom15_inv 6/5 19/15 4/3 22/15 26/15 28/15 2/1
512 #A harmonic form of the Chromatic Tonos-15 inverted 7
513 CHROM15_INV2 16/15 17/15 4/3 22/15 23/15 8/5 2/1
514 #Tonos-17 Chromatic 7
515 chrom17 17/16 17/15 17/12 17/11 34/21 17/10 2/1
516 #Conjunct Tonos-17 Chromatic 7
517 chrom17_con 17/16 17/15 17/12 34/23 17/11 17/9 2/1
518 #Tonos-19 Chromatic 7
519 chrom19 19/18 19/17 19/14 19/13 38/25 19/12 2/1
520 #Conjunct Tonos-19 Chromatic 7
521 chrom19_con 19/18 19/17 19/14 38/27 19/13 19/11 2/1
522 #Tonos-21 Chromatic 7
523 chrom21 21/20 21/19 21/16 3/2 14/9 21/13 2/1
524 #Inverted Chromatic Tonos-21 Harmonia 7
525 chrom21_inv 26/21 9/7 4/3 32/21 38/21 40/21 2/1
526 #Inverted harmonic form of the Chromatic Tonos-21 7
527 CHROM21_INV2 16/15 8/7 4/3 32/21 34/21 12/7 2/1
528 #Tonos-23 Chromatic 7
529 chrom23 23/22 23/21 23/18 23/16 23/15 23/14 2/1
530 #Conjunct Tonos-23 Chromatic 7
531 chrom23_con 23/22 23/21 23/18 23/17 23/16 23/13 2/1
532 #Tonos-25 Chromatic 7
533 chrom25 50/47 25/22 25/18 25/16 5/3 25/14 2/1
534 #Conjunct Tonos-25 Chromatic 7
535 chrom25_con 50/47 25/22 25/18 25/17 25/16 25/13 2/1
536 #Tonos-27 Chromatic 7
537 chrom27 18/17 9/8 27/20 3/2 27/17 27/16 2/1
538 #Inverted Chromatic Tonos-27 Harmonia 7
539 chrom27_inv 32/27 34/27 4/3 40/27 16/9 17/9 2/1
540 #Inverted harmonic form of the Chromatic Tonos-27 7
541 chrom27_inv2 28/27 29/27 4/3 40/27 14/9 5/3 2/1
542 #Tonos-29 Chromatic 7
543 chrom29 29/28 29/27 29/22 29/20 29/19 29/18 2/1
544 #Conjunct Tonos-29 Chromatic 7
545 chrom29_con 29/28 29/27 29/22 29/21 29/20 29/16 2/1
546 #Tonos-31 Chromatic. Tone 24 alternates with 23 as MESE or A 8
547 chrom31 31/29 31/27 31/24 31/23 31/22 31/21 31/20 2/1
548 #Conjunct Tonos-31 Chromatic 8
549 chrom31_con 31/29 31/27 31/24 31/23 31/22 31/21 31/18 2/1
550 #Tonos-33 Chromatic. A variant is 66 63 60 48 7
551 chrom33 33/31 33/29 11/8 3/2 11/7 33/20 2/1
552 #Conjunct Tonos-33 Chromatic 7
553 chrom33_con 33/31 33/29 11/8 33/23 3/2 11/6 2/1
554 #Intense Chromatic genus 4 + 8 + 18 parts 7
555 chrom_int 66.667 200.000 500.000 700.000 766.667 900.000 2/1
556 #New Chromatic genus 4.5 + 9 + 16.5 7
557 chrom_new 75.000 225.000 500.000 700.000 775.000 925.000 2/1
558 #New Chromatic genus 14/3 + 28/3 + 16 parts 7
559 chrom_new2 77.778 233.333 500.000 700.000 777.778 933.333 2/1
560 #100/81 Chromatic. This genus is a good approximation to the soft chromatic 7
561 chrom_soft 27/26 27/25 4/3 3/2 81/52 81/50 2/1
562 #1:2 Soft Chromatic 7
563 CHROM_SOFT2 44.444 133.333 500.000 700.000 744.444 833.333 2/1
564 #Soft chromatic genus is from K. Schlesinger's modified Mixolydian Harmonia 7
565 chrom_soft3 28/27 14/13 4/3 3/2 14/9 21/13 2/1
566 #Strong 32/27 Chromatic 6
567 CHROM_STR 14/13 16/13 4/3 56/39 3/2 2/1
568 #Double-tie circular mirroring with common pivot of 4:5:6:7 13
569 CKRING1 8/7 7/6 6/5 5/4 4/3 7/5 10/7 3/2 8/5 5/3 12/7 7/4 2/1
570 #Double-tie circular mirroring with common pivot of 3:5:7:9 13
571 ckring2 10/9 7/6 6/5 9/7 4/3 7/5 10/7 3/2 14/9 5/3 12/7 9/5 2/1
572 #13-tone 5-limit Tritriadic Cluster 13
573 cluster 25/24 9/8 6/5 5/4 4/3 36/25 3/2 25/16 8/5 5/3 9/5 15/8 2/1
574 #Six-Tone Triadic Cluster 4:5:6 6
575 cluster6a 5/4 4/3 3/2 5/3 15/8 2/1
576 #Six-Tone Triadic Cluster 4:6:5 6
577 cluster6b 6/5 5/4 3/2 8/5 15/8 2/1
578 #Six-Tone Triadic Cluster 3:4:5 6
579 cluster6c 10/9 6/5 4/3 8/5 5/3 2/1
580 #Six-Tone Triadic Cluster 3:5:4 6
581 cluster6d 10/9 5/4 4/3 3/2 5/3 2/1
582 #Six-Tone Triadic Cluster 5:6:8 6
583 CLUSTER6e 6/5 5/4 3/2 8/5 48/25 2/1
584 #Six-Tone Triadic Cluster 5:8:6 6
585 CLUSTER6f 6/5 4/3 8/5 5/3 48/25 2/1
586 #Six-Tone Triadic Cluster 4:5:7 6
587 CLUSTER6g 35/32 8/7 5/4 10/7 7/4 2/1
588 #Six-Tone Triadic Cluster 4:7:5 6
589 CLUSTER6h 35/32 5/4 7/5 8/5 7/4 2/1
590 #Six-Tone Triadic Cluster 5:6:7 6
591 CLUSTER6i 6/5 7/5 10/7 42/25 12/7 2/1
592 #Six-Tone Triadic Cluster 5:7:6 6
593 CLUSTER6j 7/6 6/5 7/5 5/3 42/25 2/1
594 #Eight-Tone Triadic Cluster 4:5:6 8
595 cluster8a 9/8 5/4 4/3 45/32 3/2 5/3 15/8 2/1
596 #Eight-Tone Triadic Cluster 4:6:5 8
597 cluster8b 75/64 6/5 5/4 3/2 25/16 8/5 15/8 2/1
598 #Eight-Tone Triadic Cluster 3:4:5 8
599 cluster8c 10/9 6/5 4/3 25/18 8/5 5/3 50/27 2/1
600 #Eight-Tone Triadic Cluster 3:5:4 8
601 cluster8d 10/9 5/4 4/3 40/27 3/2 5/3 16/9 2/1
602 #Eight-Tone Triadic Cluster 5:6:8 8
603 cluster8e 6/5 5/4 32/25 3/2 192/125 8/5 48/25 2/1
604 #Eight-Tone Triadic Cluster 5:8:6 8
605 CLUSTER8f 144/125 6/5 4/3 36/25 8/5 5/3 48/25 2/1
606 #Eight-Tone Triadic Cluster 4:5:7 8
607 CLUSTER8g 35/32 8/7 5/4 10/7 49/32 7/4 245/128 2/1
608 #Eight-Tone Triadic Cluster 4:7:5 8
609 CLUSTER8h 35/32 5/4 175/128 7/5 25/16 8/5 7/4 2/1
610 #Eight-Tone Triadic Cluster 5:6:7 8
611 CLUSTER8i 147/125 6/5 7/5 10/7 42/25 12/7 49/25 2/1
612 #Eight-Tone Triadic Cluster 5:7:6 8
613 CLUSTER8j 126/125 7/6 6/5 7/5 36/25 5/3 42/25 2/1
614 #Colonna 1 12
615 colonna1 25/24 10/9 85/72 5/4 4/3 25/18 3/2 55/36 5/3 85/48 15/8 2/1
616 #Colonna 2 12
617 colonna2 25/24 9/8 6/5 5/4 4/3 7/5 3/2 8/5 5/3 9/5 11/6 2/1
618 #Cruciform Lattice 12
619 cruciform 9/8 75/64 6/5 5/4 4/3 45/32 3/2 25/16 8/5 5/3 15/8 2/1
620 #This set of 19 ratios in 5-limit JI is for his megalyra family 19
621 darreg 25/24 16/15 10/9 9/8 75/64 6/5 5/4 4/3 45/32 64/45 3/2 25/16 8/5 5/3 27/16 225/128 9/5 15/8 2/1
622 #Ivor Darreg's Mixed Enneatonic, a mixture of chromatic and enharmonic 9
623 darreg_ennea 50.000 100.000 200.000 500.000 700.000 750.000 800.000 900.000 2/1
624 #Ivor Darreg's Mixed JI Genus (Archytas Enh, Ptolemy Soft Chrom, Didymos Chrom 9
625 darreg_genus 28/27 16/15 10/9 4/3 3/2 14/9 8/5 5/3 2/1
626 #Darreg's Mixed JI Genus 2 (Archytas Enharmonic and Chromatic Genera) 9
627 DARREG_GENUS2 28/27 16/15 9/8 4/3 3/2 14/9 8/5 27/16 2/1
628 #Ivor Darreg's Mixed Enh & Chrom Scale 9
629 darreg_mix 50.000 100.000 200.000 500.000 700.000 750.000 800.000 900.000 2/1
630 #11-limit system from Gary David, 1967 22
631 david11 33/32 21/20 12/11 9/8 7/6 77/64 5/4 14/11 21/16 11/8 7/5 63/44 3/2 14/9 77/48 18/11 27/16 7/4 11/6 15/8 21/11 2/1
632 #De Caus (a mode of Ellis's duodene) 12
633 de_caus 25/24 10/9 75/64 5/4 4/3 25/18 3/2 25/16 5/3 16/9 15/8 2
634 #2)5 Dekany 1.3.5.7.11 (1.3 tonic) 10
635 dekany 55/48 7/6 5/4 11/8 35/24 77/48 5/3 7/4 11/6 2/1
636 #3)5 Dekany 1.3.5.7.9 (1.3.5.7.9 tonic) 10
637 dekany2 16/15 8/7 6/5 4/3 48/35 32/21 8/5 12/7 16/9 2/1
638 #Diacycle on 20/13, 13/10; there are also nodes at 3/2, 4/3; 13/9, 18/13 23
639 diacycle13 40/39 20/19 40/37 10/9 8/7 20/17 40/33 5/4 40/31 4/3 40/29 10/7 40/27 20/13 30/19 60/37 5/3 12/7 30/17 20/11 15/8 60/31 2/1
640 #15-limit Diamond + 2nd ratios. See Novaro, 1927, Sistema Natural... 59
641 diamond15 33/32 16/15 15/14 14/13 13/12 12/11 11/10 10/9 9/8 8/7 15/13 7/6 13/11 32/27 6/5 39/32 11/9 16/13 5/4 14/11 9/7 13/10 21/16 4/3 15/11 11/8 18/13 7/5 45/32 64/45 10/7 13/9 16/11 22/15 3/2 32/21 20/13 14/9 11/7 8/5 13/8 18/11 64/39 5/3 27/16 22/13 12/7 26/15 7/4 16/9 9/5 20/11 11/6 24/13 13/7 28/15 15/8 64/33 2/1
642 #9-limit Diamond 19
643 diamond9 10/9 9/8 8/7 7/6 6/5 5/4 9/7 4/3 7/5 10/7 3/2 14/9 8/5 5/3 12/7 7/4 16/9 9/5 2/1
644 #13-tone Octave Modular Diamond, based on Archytas's Enharmonic 13
645 diamond_mod 36/35 28/27 16/15 5/4 9/7 4/3 3/2 14/9 8/5 15/8 27/14 35/18 2/1
646 #Tetrachord Modular Diamond based on Archytas's Enharmonic 8
647 diamond_tetr 28/27 16/15 5/4 9/7 35/27 4/3 48/35 2/1
648 #10-tone Diaphonic Cycle 10
649 diaphonic_10 18/17 9/8 6/5 9/7 18/13 3/2 8/5 12/7 24/13 2/1
650 #12-tone Diaphonic Cycle, conjunctive form on 3/2 and 4/3 12
651 diaphonic_12 21/20 21/19 7/6 21/17 21/16 7/5 3/2 30/19 5/3 30/17 15/8 2/1
652 #2nd 12-tone Diaphonic Cycle, conjunctive form on 10/7 and 7/5 12
653 diaphonic12_2 21/20 21/19 7/6 21/17 21/16 7/5 28/19 14/9 28/17 7/4 28/15 2/1
654 #D5-tone Diaphonic Cycle 5
655 diaphonic_5 8/7 4/3 3/2 12/7 2/1
656 #7-tone Diaphonic Cycle, disjunctive form on 4/3 and 3/2 7
657 diaphonic_7 12/11 6/5 4/3 16/11 8/5 16/9 2/1
658 #This genus is from K.S's diatonic Hypodorian harmonia 7
659 diat13 16/15 16/13 4/3 3/2 8/5 24/13 2/1
660 #Tonos-15 Diatonic and its own trite synemmenon Bb 8
661 diat15 15/13 5/4 15/11 10/7 3/2 5/3 15/8 2/1
662 #Inverted Tonos-15 Harmonia, a harmonic series from 15 from 30. 8
663 diat15_inv 16/15 6/5 4/3 7/5 22/15 8/5 26/15 2/1
664 #Tonos-17 Diatonic and its own trite synemmenon Bb 8
665 diat17 17/15 17/13 17/12 34/23 17/11 17/10 17/9 2/1
666 #Tonos-19 Diatonic and its own trite synemmenon Bb 8
667 diat19 19/18 19/16 19/14 38/27 19/13 19/12 19/11 2/1
668 #Tonos-21 Diatonic and its own trite synemmenon Bb 8
669 diat21 21/19 7/6 21/16 7/5 3/2 21/13 7/4 2/1
670 #Inverted Tonos-21 Harmonia, a harmonic series from 21 from 42. 8
671 diat21_inv 8/7 26/21 4/3 10/7 32/21 12/7 38/21 2/1
672 #Tonos-23 Diatonic and its own trite synemmenon Bb 8
673 diat23 23/21 23/20 23/18 23/17 23/16 23/14 23/13 2/1
674 #Tonos-25 Diatonic and its own trite synemmenon Bb 8
675 diat25 25/22 5/4 25/18 25/17 25/16 25/14 25/13 2/1
676 #Tonos-27 Diatonic and its own trite synemmenon Bb 8
677 diat27 9/8 9/7 27/20 27/19 3/2 27/16 27/14 2/1
678 #Inverted Tonos-27 Harmonia, a harmonic series from 27 from 54 8
679 diat27_inv 28/27 32/27 4/3 13/9 40/27 14/9 16/9 2/1
680 #Tonos-29 Diatonic and its own trite synemmenon Bb 8
681 diat29 29/26 29/24 29/22 29/21 29/20 29/18 29/16 2/1
682 #Tonos-31 Diatonic. The disjunctive and conjunctive diatonic forms are the same 8
683 diat31 31/28 31/26 31/24 31/23 31/22 31/20 31/18 2/1
684 #Tonos-33 Diatonic. The conjunctive form is 23 (Bb instead of B) 20 18 33/2 8
685 diat33 11/10 11/9 11/8 33/23 3/2 33/20 11/6 2/1
686 #Diatonic- Chromatic, on the border between the chromatic and diatonic genera 7
687 diat_chrom 15/14 15/13 4/3 3/2 45/28 45/26 2/1
688 #Dorian Diatonic, 2 part Diesis 7
689 diat_dies2 33.333 300.000 500.000 700.000 733.333 1000.000 2/1
690 #Dorian Diatonic, 5 part Diesis 7
691 diat_dies5 83.333 300.000 500.000 700.000 783.333 1000.000 2/1
692 #Diat. + Enharm. Diesis, Dorian Mode 7
693 diat_enh 50.000 300.000 500.000 700.000 750.000 1000.000 2/1
694 #Diat. + Enharm. Diesis, Dorian Mode 3 + 12 + 15 parts 7
695 DIAT_ENH2 50.000 250.000 500.000 700.000 750.000 950.000 2/1
696 #Diat. + Enharm. Diesis, Dorian Mode, 15 + 3 + 12 parts 7
697 diat_enh3 250.000 300.000 500.000 700.000 950.000 1000.000 2/1
698 #Diat. + Enharm. Diesis, Dorian Mode, 15 + 12 + 3 parts 7
699 diat_enh4 250.000 450.000 500.000 700.000 950.000 1150.000 2/1
700 #Dorian Mode, 12 + 15 + 3 parts 7
701 DIAT_ENH5 200.000 450.000 500.000 700.000 900.000 1150.000 2/1
702 #Dorian Mode, 12 + 3 + 15 parts 7
703 DIAT_ENH6 200.000 250.000 500.000 700.000 900.000 950.000 2/1
704 #Equal Diatonic, Islamic form, similar to 11/10 x 11/10 x 400/363 7
705 diat_eq 166.667 333.333 500.000 700.000 866.667 1033.333 2/1
706 #Diatonic scale with ratio between whole and half tone the Golden Section 7
707 diat_gold 192.429 384.858 503.785 696.215 888.644 1081.072 2
708 #Diat. + Hem. Chrom. Diesis, Another genus of Aristoxenos, Dorian Mode 7
709 diat_hemchrom 75.000 300.000 500.000 700.000 775.000 1000.000 2/1
710 #Diat. + Soft Chrom. Diesis, Another genus of Aristoxenos, Dorian Mode 7
711 diat_sofchrom 66.667 300.000 500.000 700.000 766.667 1000.000 2/1
712 #Soft Diatonic genus 5 + 10 + 15 parts 7
713 diat_soft 83.333 250.000 500.000 700.000 783.333 950.000 2/1
714 #Soft Diatonic genus with equally divided Pyknon; Dorian Mode 7
715 diat_soft2 125.000 250.000 500.000 700.000 825.000 950.000 2/1
716 #Dorian mode of a diatonic genus with reduplicated 11/10 7
717 diatred11 11/10 121/100 4/3 3/2 33/20 363/200 2/1
718 #Didymus Chromatic 7
719 didy_chrom 16/15 10/9 4/3 3/2 8/5 5/3 2/1
720 #permuted Didymus Chromatic 7
721 DIDY_CHROM1 16/15 32/25 4/3 3/2 8/5 48/25 2/1
722 #Didymos's Chromatic, 6/5 x 25/24 x 16/15 7
723 DIDY_CHROM2 6/5 5/4 4/3 3/2 9/5 15/8 2/1
724 #Didymos's Chromatic, 25/24 x 16/15 x 6/5 7
725 DIDY_CHROM3 25/24 10/9 4/3 3/2 25/16 5/3 2/1
726 #Didymus Diatonic 7
727 didy_diat 16/15 32/27 4/3 3/2 8/5 16/9 2/1
728 #Didymus Diatonic inverse 7
729 didy_diatinv 9/8 5/4 4/3 3/2 27/16 15/8 2/1
730 #permuted Didymus Enharmonic 7
731 DIDY_EN2 256/243 16/15 4/3 3/2 128/81 8/5 2/1
732 #Dorian mode of Didymos's Enharmonic 7
733 didy_enh 32/31 16/15 4/3 3/2 48/31 8/5 2/1
734 #A heptatonic form on the 9/7 7
735 dimteta 27/25 27/23 9/7 14/9 42/25 42/23 2/1
736 #A pentatonic form on the 9/7 5
737 dimtetb 9/8 9/7 14/9 7/4 2/1
738 #Divided Fifth #1, From Schlesinger, see Chapter 8, p. 160 5
739 div_fifth1 24/23 12/11 4/3 3/2 2/1
740 #Divided Fifth #2, From Schlesinger, see Chapter 8, p. 160 5
741 div_fifth2 16/15 8/7 4/3 3/2 2/1
742 #Divided Fifth #3, From Schlesinger, see Chapter 8, p. 160 5
743 div_fifth3 28/27 7/6 4/3 3/2 2/1
744 #Divided Fifth #4, From Schlesinger, see Chapter 8, p. 160 5
745 div_fifth4 21/20 7/6 21/16 3/2 2/1
746 #Divided Fifth #5, From Schlesinger, see Chapter 8, p. 160 5
747 div_fifth5 11/10 11/9 11/8 11/7 2/1
748 #Double-tie circular mirroring of 4:5:6:7 12
749 dkring1 21/20 7/6 6/5 49/40 5/4 7/5 3/2 42/25 12/7 7/4 9/5 2/1
750 #Double-tie circular mirroring of 3:5:7:9 12
751 dkring2 21/20 7/6 63/50 9/7 27/20 7/5 3/2 14/9 49/30 5/3 9/5 2/1
752 #Degenerate eikosany 3)6 from 1.3.5.9.15.45 tonic 1.3.15 12
753 dodeceny 135/128 9/8 75/64 6/5 5/4 4/3 45/32 3/2 5/3 27/16 15/8 2/1
754 #Dorian Chromatic Tonos 24
755 dorian_chrom 16/15 8/7 32/27 64/53 16/13 4/3 16/11 32/21 64/41 8/5 16/9 2/1 32/15 16/7 64/27 128/53 32/13 8/3 32/11 64/21 128/41 16/5 32/9 4/1
756 #Schlesinger's Dorian Harmonia in the chromatic genus 7
757 dorian_chrom2 22/21 11/10 11/8 11/7 44/27 22/13 2/1
758 #A harmonic form of Schlesinger's Chromatic Dorian inverted 7
759 dorian_chrominv 24/23 12/11 14/11 16/11 17/11 18/11 2/1
760 #Dorian Diatonic Tonos 24
761 DORIAN_DIAT 16/15 8/7 16/13 32/25 4/3 32/23 16/11 8/5 32/19 16/9 32/17 2/1 32/15 16/7 32/13 64/25 8/3 64/23 32/11 16/5 64/19 32/9 64/17 4/1
762 #Schlesinger's Dorian Harmonia, a subharmonic series through 13 from 22 8
763 dorian_diat2 11/10 11/9 11/8 22/15 11/7 22/13 11/6 2/1
764 #A Dorian Diatonic with its own trite synemmenon replacing paramese 7
765 dorian_diatcon 11/10 11/9 11/8 22/15 11/7 11/6 2/1
766 #Dorian Enharmonic Tonos 24
767 DORIAN_ENH 16/15 8/7 64/55 128/109 32/27 4/3 16/11 64/43 128/85 32/21 16/9 2/1 32/15 16/7 128/55 256/109 64/27 8/3 32/11 128/43 256/85 64/21 32/9 4/1
768 #Schlesinger's Dorian Harmonia in the enharmonic genus 7
769 dorian_enh2 44/43 22/21 11/8 11/7 44/27 22/13 2/1
770 #A harmonic form of Schlesinger's Dorian enharmonic inverted 7
771 DORIAN_ENHinv 48/47 24/23 14/11 16/11 3/2 17/11 2/1
772 #Inverted Schlesinger's Dorian Harmonia, a harmonic series from 11 from 22 8
773 dorian_inv 12/11 13/11 14/11 15/11 16/11 18/11 20/11 2/1
774 #Schlesinger's Dorian Harmonia in the pentachromatic genus 7
775 DORIAN_PENT 55/53 11/10 11/8 11/7 55/34 22/13 2/1
776 #Diatonic Perfect Immutable System in the Dorian Tonos, a non-rep. 16 tone gamut 15
777 dorian_pis 8/7 16/13 4/3 16/11 8/5 16/9 2/1 32/15 16/7 32/13 8/3 32/11 16/5 32/9 4/1
778 #Schlesinger's Dorian Piano Tuning (Sub 22) 12
779 dorian_schl 22/21 11/10 22/19 11/9 22/17 11/8 22/15 11/7 22/13 44/25 11/6 2/1
780 #Schlesinger's Dorian Harmonia in the first trichromatic genus 7
781 dorian_tri1 33/32 33/31 11/8 11/7 66/41 33/20 2/1
782 #Schlesinger's Dorian Harmonia in the second trichromatic genus 7
783 dorian_tri2 33/32 11/10 11/8 11/7 66/41 22/13 2/1
784 #Dowland lute tuning 12
785 dowland 33/31 9/8 33/28 264/211 4/3 24/17 3/2 99/62 27/16 99/56 396/211 2/1
786 #Dudon Tetrachord A 7
787 dudon_a 59/54 11/9 4/3 3/2 59/36 11/6 2/1
788 #Dudon Tetrachord B 7
789 dudon_b 13/12 59/48 4/3 3/2 13/8 59/32 2/1
790 #Dudon Neutral Diatonic 7
791 dudon_diat 9/8 27/22 59/44 3/2 18/11 81/44 2/1
792 #Dudley Duncan's Superparticular Scale 12
793 duncan 17/16 9/8 6/5 5/4 4/3 7/5 3/2 8/5 5/3 7/4 15/8 2/1
794 #Ellis's Duodene : genus [33355] 12
795 duodene 16/15 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 9/5 15/8 2
796 #14-18-21 Duodene 12
797 duodene14-18-21 28/27 9/8 7/6 9/7 4/3 81/56 3/2 14/9 12/7 7/4 27/14 2/1
798 #3-11/9 Duodene 12
799 duodene3-11_9 12/11 9/8 11/9 27/22 4/3 11/8 3/2 44/27 18/11 11/6 81/44 2/1
800 #3-7 Duodene 12
801 DUODENE3-7 9/8 8/7 7/6 9/7 21/16 4/3 3/2 32/21 12/7 7/4 63/32 2/1
802 #6-7-9 Duodene 12
803 DUODENE6-7-9 9/8 8/7 7/6 9/7 21/16 4/3 3/2 14/9 12/7 7/4 27/14 2/1
804 #Ellis's Duodene rotated : genus [33555] 12
805 duodene_rot 1125/1024 9/8 75/64 5/4 45/32 375/256 3/2 25/16 225/128 15/8 125/64 2
806 #Rotated 6/5x3/2 duodene 12
807 duodene_skew 27/25 10/9 6/5 5/4 4/3 36/25 3/2 8/5 5/3 9/5 48/25 2/1
808 #Genus bis-ultra-chromaticum [33335555] 25
809 efg33335555 25/24 16/15 10/9 9/8 256/225 75/64 6/5 5/4 32/25 4/3 25/18 45/32 64/45 36/25 3/2 25/16 8/5 5/3 128/75 225/128 16/9 9/5 15/8 48/25 2/1
810 #Genus diatonico-hyperchromaticum [333555] 16
811 efg333555 25/24 16/15 10/9 75/64 6/5 5/4 4/3 25/18 64/45 3/2 25/16 8/5 5/3 16/9 15/8 2/1
812 #Genus diatonico-enharmonicum [333557] 24
813 efg333557 64/63 16/15 15/14 10/9 8/7 6/5 128/105 5/4 80/63 4/3 48/35 64/45 10/7 3/2 32/21 8/5 512/315 5/3 12/7 16/9 64/35 15/8 40/21 2/1
814 #Genus chromaticum septimis triplex [335577] 27
815 efg335577 21/20 16/15 15/14 35/32 8/7 7/6 6/5 128/105 5/4 21/16 4/3 48/35 7/5 10/7 35/24 3/2 32/21 8/5 105/64 5/3 12/7 7/4 64/35 28/15 15/8 40/21 2/1
816 #Genus [55577] 12
817 efg55577 35/32 125/112 8/7 5/4 175/128 10/7 25/16 875/512 7/4 25/14 125/64 2/1
818 #Genus [55777] 12
819 efg55777 35/32 8/7 49/40 5/4 7/5 10/7 49/32 8/5 7/4 64/35 245/128 2/1
820 #3)6 1.3.5.7.9.11 Eikosany (1.3.5 tonic) 20
821 Eikosany 33/32 21/20 11/10 9/8 7/6 99/80 77/60 21/16 11/8 7/5 231/160 3/2 63/40 77/48 33/20 7/4 9/5 11/6 77/40 2/1
822 #Single-tie circular mirroring of 3:4:5 12
823 ekring1 9/8 6/5 5/4 27/20 45/32 36/25 25/16 8/5 5/3 9/5 15/8 2/1
824 #Single-tie circular mirroring of 6:7:8 12
825 ekring2 9/8 8/7 7/6 9/7 21/16 72/49 49/32 12/7 7/4 27/14 63/32 2/1
826 #Single-tie circular mirroring of 4:5:7 12
827 ekring3 50/49 8/7 400/343 5/4 125/98 64/49 25/16 8/5 80/49 7/4 25/14 2/1
828 #Single-tie circular mirroring of 4:5:6 12
829 EKRING4 16/15 6/5 32/25 4/3 36/25 3/2 192/125 5/3 128/75 16/9 48/25 2/1
830 #Single-tie circular mirroring of 3:5:7 12
831 ekring5 126/125 36/35 7/6 216/175 7/5 10/7 36/25 72/49 42/25 12/7 49/25 2/1
832 #Single-tie circular mirroring of 6:7:9 12
833 ekring6 54/49 8/7 9/7 4/3 72/49 3/2 14/9 81/49 16/9 648/343 96/49 2/1
834 #Single-tie circular mirroring of 5:7:9 12
835 ekring7 50/49 10/9 500/441 100/81 9/7 450/343 14/9 100/63 81/49 9/5 90/49 2/1
836 #Ellis's Just Harmonium 12
837 ellis_harm 16/15 9/8 6/5 5/4 4/3 27/20 3/2 8/5 5/3 9/5 15/8 2
838 #14/11 Enharmonic 7
839 enh14 44/43 22/21 4/3 3/2 66/43 11/7 2/1
840 #Tonos-15 Enharmonic 7
841 enh15 30/29 15/14 15/11 3/2 20/13 30/19 2/1
842 #Inverted Enharmonic Tonos-15 Harmonia 7
843 enh15_inv 19/15 13/10 4/3 22/15 28/15 29/15 2/1
844 #Inverted harmonic form of the enharmonic Tonos-15 7
845 ENH15_INV2 31/30 16/15 4/3 22/15 3/2 23/15 2/1
846 #Tonos-17 Enharmonic 7
847 enh17 34/33 17/16 17/12 17/11 68/43 34/21 2/1
848 #Conjunct Tonos-17 Enharmonic 7
849 enh17_con 34/33 17/16 17/12 68/47 34/23 17/9 2/1
850 #Tonos-19 Enharmonic 7
851 enh19 38/37 19/18 19/14 19/13 76/51 38/25 2/1
852 #Conjunct Tonos-19 Enharmonic 7
853 enh19_con 38/37 19/18 19/14 76/55 38/27 19/11 2/1
854 #1:2 Enharmonic. New genus 2 + 4 + 24 parts 7
855 enh2 33.333 100.000 500.000 700.000 733.333 800.000 2/1
856 #Tonos-21 Enharmonic 7
857 enh21 42/41 21/20 21/16 3/2 84/55 14/9 2/1
858 #Inverted Enharmonic Tonos-21 Harmonia 7
859 enh21_inv 9/7 55/42 4/3 32/21 40/21 41/21 2/1
860 #Inverted harmonic form of the enharmonic Tonos-21 7
861 enh21_inv2 32/31 16/15 4/3 32/21 11/7 34/21 2/1
862 #Tonos-23 Enharmonic 7
863 enh23 46/45 23/22 23/18 23/16 46/31 23/15 2/1
864 #Conjunct Tonos-23 Enharmonic 7
865 enh23_con 46/45 23/22 23/18 46/35 23/17 23/13 2/1
866 #Tonos-25 Enharmonic 7
867 enh25 100/97 50/47 25/18 25/16 50/31 5/3 2/1
868 #Conjunct Tonos-25 Enharmonic 7
869 enh25_con 100/97 50/47 25/18 10/7 25/17 25/13 2/1
870 #Tonos-27 Enharmonic 7
871 enh27 36/35 18/17 27/20 3/2 54/35 27/17 2/1
872 #Inverted Enharmonic Tonos-27 Harmonia 7
873 enh27_inv 34/27 35/27 4/3 40/27 17/9 35/18 2/1
874 #Inverted harmonic form of the enharmonic Tonos-27 7
875 enh27_inv2 56/55 28/27 4/3 40/27 41/27 14/9 2/1
876 #Tonos-29 Enharmonic 7
877 enh29 58/57 29/28 29/22 29/20 58/39 29/19 2/1
878 #Conjunct Tonos-29 Enharmonic 7
879 enh29_con 58/57 29/28 29/22 58/43 29/21 29/16 2/1
880 #Tonos-31 Enharmonic. Tone 24 alternates with 23 as MESE or A 8
881 enh31 31/30 31/29 31/24 31/23 31/22 62/43 31/21 2/1
882 #Conjunct Tonos-31 Enharmonic 8
883 enh31_con 31/30 31/29 31/24 31/23 62/45 31/22 31/18 2/1
884 #Tonos-33 Enharmonic 7
885 enh33 33/32 33/31 11/8 3/2 66/43 11/7 2/1
886 #Conjunct Tonos-33 Enharmonic 7
887 enh33_con 33/32 33/31 11/8 66/47 33/23 11/6 2/1
888 #Inverted Enharmonic Conjunct Phrygian Harmonia 7
889 enh_invcon 13/12 17/12 35/24 3/2 23/12 47/24 2/1
890 #Enharmonic After Wilson's Purvi Modulations, See page 111 7
891 enhmod 9/8 7/6 4/3 3/2 14/9 8/5 2/1
892 #Epimore (Scholz) 40
893 epimore 4/1 5/1 6/1 7/1 8/1 9/1 10/1 11/1 12/1 13/1 14/1 15/1 16/1 18/1 20/1 21/1 22/1 24/1 25/1 26/1 27/1 28/1 32/1 33/1 35/1 36/1 39/1 40/1 42/1 44/1 45/1 48/1 49/1 50/1 54/1 55/1 56/1 63/1 64/1 65/1
894 #New Epimoric Enharmonic, Dorian mode of the 4th new Enharmonic on Hofmann's list 7
895 epimore_enh 76/75 16/15 4/3 3/2 38/25 8/5 2/1
896 #20-tone mode of 31-tET 20
897 eq_31_20 77.419 116.129 193.548 270.968 309.677 387.097 425.806 503.226 580.645 619.355 696.774 735.484 774.194 851.613 890.323 967.742 1006.452 1083.871 1161.290 2/1
898 #Quasi-Equal Enneatonic, each "tetrachord" has 125 + 125 + 125 + 125 9
899 eq_ennea 125.000 250.000 375.000 500.000 700.000 825.000 950.000 1075.000 2/1
900 #Dorian mode of Eratosthenes's Chromatic. same as Ptol. Intense Chromatic 7
901 eratos_chrom 20/19 10/9 4/3 3/2 30/19 5/3 2/1
902 #Dorian mode of Eratosthenes's Diatonic 7
903 eratos_diat 256/243 32/27 4/3 3/2 128/81 16/9 2/1
904 #Dorian mode of Eratosthenes's Enharmonic 7
905 eratos_enh 40/39 20/19 4/3 3/2 20/13 30/19 2/1
906 #Revised Erlangen 12
907 erlangen 135/128 9/8 32/27 5/4 4/3 45/32 3/2 405/256 27/16 16/9 15/8 2
908 #Ethiopian Tunings from Fortuna 12
909 ethiopian 15/14 32/29 97/83 26/21 41/31 55/39 53/36 19/12 21/13 310/117 37/20 2/1
910 #Euler-Fokker genus [3 5 7 11] 15
911 eul_15 33/32 11/10 8/7 33/28 6/5 44/35 48/35 3/2 11/7 8/5 33/20 12/7 64/35 66/35 2/1
912 #Euler (a mode of Ellis's duodene) 12
913 euler 25/24 9/8 75/64 5/4 4/3 45/32 3/2 25/16 5/3 225/128 15/8 2
914 #Euler's Old Enharmonic, From Tentamen Novae Theoriae Musicae 7
915 euler_enh 128/125 256/243 4/3 3/2 192/125 128/81 2/1
916 #Euler's Genus Musicum, Octony based on Archytas's Enharmonic 8
917 euler_gm 28/27 16/15 448/405 4/3 112/81 64/45 1792/1215 2/1
918 #Expanded hexany 1 3 5 7 9 11 32
919 exphex 2079/2048 33/32 135/128 35/32 9/8 1155/1024 297/256 77/64 315/256 5/4 10395/8192 165/128 21/16 693/512 11/8 45/32 1485/1024 189/128 3/2 385/256 99/64 105/64 27/16 3465/2048 55/32 7/4 231/128 945/512 15/8 495/256 63/32 2/1
920 #Al Farabi's Chromatic c700 AD 7
921 farabi 9/8 27/20 729/512 3/2 9/5 19/10 2
922 #Farnsworth's scale 7
923 farnsworth 9/8 5/4 21/16 3/2 27/16 15/8 2/1
924 #Modified meantone tuning of Fisk organ in Memorial Church at Stanford 12
925 Fisk-Vogel 79.470 194.530 309.580 389.050 502.740 582.890 697.260 776.050 891.790 1006.160 1086.310 2
926 #Fogliano 1 12
927 fogliano1 25/24 10/9 6/5 5/4 4/3 25/18 3/2 25/16 5/3 16/9 15/8 2
928 #Fogliano 2, also Mandelbaum 12
929 fogliano2 25/24 9/8 6/5 5/4 4/3 25/18 3/2 25/16 5/3 9/5 15/8 2
930 #Fokker's Just Scale 12
931 fokker 15/14 9/8 7/6 5/4 4/3 45/32 3/2 45/28 5/3 7/4 15/8 2/1
932 #Fokker's 31-tone just system 31
933 FOKKER_31 64/63 135/128 15/14 35/32 9/8 8/7 7/6 135/112 315/256 5/4 9/7 21/16 4/3 175/128 45/32 10/7 35/24 3/2 32/21 14/9 45/28 105/64 5/3 12/7 7/4 16/9 945/512 15/8 40/21 63/32 2/1
934 #Fokker's 31-tone first alternate septimal tuning 31
935 FOKKER_31A 36/35 25/24 15/14 35/32 9/8 8/7 7/6 25/21 315/256 5/4 9/7 21/16 4/3 175/128 45/32 10/7 35/24 3/2 32/21 63/40 45/28 105/64 5/3 12/7 7/4 9/5 175/96 15/8 40/21 63/32 2/1
936 #Fokker's 31-tone second alternate septimal tuning 31
937 FOKKER_31B 49/48 21/20 15/14 35/32 9/8 8/7 7/6 6/5 315/256 5/4 9/7 21/16 4/3 175/128 45/32 10/7 35/24 3/2 32/21 25/16 45/28 105/64 5/3 12/7 7/4 25/14 90/49 15/8 40/21 63/32 2/1
938 #Fokker's 53-tone system, degree 37 has alternatives 53
939 fokker_53 126/125 525/512 25/24 21/20 16/15 27/25 35/32 10/9 9/8 8/7 147/128 7/6 189/160 6/5 243/200 315/256 5/4 63/50 32/25 125/96 21/16 4/3 27/20 175/128 441/320 7/5 10/7 36/25 35/24 189/128 3/2 32/21 49/32 384/245 63/40 8/5 81/50 105/64 5/3 42/25 12/7 441/256 7/4 16/9 9/5 175/96 147/80 15/8 40/21 48/25 35/18 63/32 2/1
940 #Fokker's suggestion for a shrinked octave by averaging approximations 31
941 fokker_av 38.652 77.303 115.955 154.606 193.258 231.910 270.561 309.213 347.865 386.516 425.168 463.819 502.471 541.123 579.774 618.426 657.077 695.729 734.381 773.032 811.684 850.335 888.987 927.639 966.290 1004.942 1043.594 1082.245 1120.897 1159.548 1198.200
942 #11-limit scale from Clem Fortuna 12
943 fortuna 21/20 8/7 7/6 14/11 21/16 10/7 32/21 11/7 12/7 7/4 40/21 2/1
944 #Mandinka balafon scale 7
945 gambia 151.000 345.000 526.000 660.000 861.000 1025.000 1141.000
946 #from Clem Fortuna out of Helmholtz, Slendro on black, F A B C E F as Pelog 12
947 gamelan 101.100 233.000 332.500 410.500 512.600 572.600 649.900 800.600 958.600 1056.800 1087.700 2/1
948 #Gamelan Udan Mas (approx) s6,p6,p7,s1,p1,s2,p2,p3,s3,p4,s5,p5 12
949 gamelan_udan 1/1 10/9 7/6 32/25 47/35 32/23 3/2 20/13 16/9 16/9 23/12 2/1
950 #Wendy Carlos' Gamma scale with third divided by eleven or fifth by twenty 35
951 gamma 35.100 70.200 105.300 140.400 175.500 210.600 245.700 280.800 315.900 351.000 386.100 421.200 456.300 491.400 526.500 561.600 596.700 631.800 666.900 702.000 737.100 772.200 807.300 842.400 877.500 912.600 947.700 982.800 1017.900 1053.000 1088.100 1123.200 1158.300 1193.400 1228.500
952 #Ganassi 12
953 ganassi 20/19 10/9 20/17 5/4 4/3 24/17 3/2 30/19 5/3 30/17 15/8 2/1
954 #Gilson septimal 12
955 gilson7 1/1 8/7 6/5 5/4 3/2 10/7 3/2 25/16 25/16 25/14 15/8 2/1
956 #Gilson septimal 2 12
957 gilson7_2 1/1 15/14 8/7 6/5 9/7 10/7 10/7 3/2 8/5 9/5 9/5 2/1
958 #Gilson's 10-tone JI 10
959 GILSON_10 75/64 6/5 5/4 32/25 3/2 25/16 8/5 15/8 48/25 2/1
960 #Golden pentatonic 5
961 GOLDEN_5 5/4 21/16 3/2 13/8 2/1
962 #Kraig Grady, letter to Lou Harrison, published in 1/1 7 (1) 1991 p 5. 14
963 grady 21/20 9/8 7/6 5/4 21/16 4/3 7/5 3/2 63/40 27/16 7/4 15/8 63/32 2/1
964 #1st Inverted Schlesinger's Enharmonic Dorian Harmonia 7
965 harm-doreninv1 27/22 5/4 14/11 16/11 21/11 43/22 2/1
966 #1st Inverted Schlesinger's Chromatic Dorian Harmonia 7
967 harm-dorinv1 13/11 27/22 14/11 16/11 20/11 21/11 2/1
968 #1st Inverted Schlesinger's Chromatic Lydian Harmonia 7
969 harm-lydchrinv1 16/13 17/13 18/13 20/13 24/13 25/13 2/1
970 #1st Inverted Schlesinger's Enharmonic Lydian Harmonia 7
971 harm-lydeninv1 17/13 35/26 18/13 20/13 25/13 51/26 2/1
972 #1st Inverted Schlesinger's Chromatic Mixolydian Harmonia 7
973 harm-mixochrinv1 9/7 19/14 10/7 11/7 13/7 27/14 2/1
974 #1st Inverted Schlesinger's Enharmonic Mixolydian Harmonia 7
975 HARM-MIXOeninv1 19/14 39/28 10/7 11/7 27/14 55/28 2/1
976 #6/7/8/9/10 harmonics 13
977 harm10 35/32 9/8 5/4 81/64 21/16 45/32 3/2 49/32 25/16 27/16 7/4 63/32 2/1
978 #Fifth octave of the harmonic overtone series 15
979 harm15 17/16 9/8 19/16 5/4 21/16 11/8 23/16 3/2 25/16 13/8 27/16 7/4 29/16 15/8 31/16
980 #Harm1C-15-Harmonia 7
981 Harm1C-15 6/5 19/15 4/3 22/15 26/15 28/15 2/1
982 #Harm1C-Dorian 7
983 Harm1C-Dorian 3/11 27/22 14/11 16/11 20/11 21/11 2/1
984 #HarmC-Hypodorian 8
985 harm1c-hypod 5/4 21/16 11/8 23/16 3/2 7/4 15/8 2/1
986 #HarmC-Hypolydian 8
987 harm1c-hypol 21/20 11/10 13/10 7/5 3/2 8/5 17/10 2/1
988 #Harm1C-Lydian 8
989 Harm1C-Lydian 27/26 14/13 18/13 19/13 20/13 21/13 22/13 2/1
990 #Harm1C-Con Mixolydian 7
991 Harm1C-Mix 8/7 10/7 3/2 11/7 13/7 27/14 2/1
992 #Harm1C-Mixolydian 7
993 Harm1C-Mixolydian 15/14 8/7 10/7 11/7 23/14 12/7 2/1
994 #Harm1C-ConPhryg 7
995 Harm1C-Phryg 13/12 4/3 17/12 3/2 11/6 23/12 2/1
996 #Harm1C-Phrygian 7
997 Harm1C-Phrygian 7/6 5/4 4/3 3/2 11/6 23/12 2/1
998 #Harm1E-15-Harmonia 7
999 Harm1E-15 19/15 13/10 4/3 22/15 28/15 29/15 2/1
1000 #Third octave of the harmonic overtone series 3
1001 harm3 5/4 3/2 7/4
1002 #First 30 subharmonics & harmonics 59
1003 harm30-30 16/15 32/29 8/7 32/27 16/13 32/25 4/3 32/23 32/21 8/5 32/19 16/9 32/17 2/1 32/15 16/7 32/13 8/3 32/11 16/5 32/9 4/1 32/7 16/3 32/5 8/1 32/3 16/1 32/1 33/1 34/1 35/1 36/1 37/1 38/1 39/1 40/1 41/1 42/1 43/1 44/1 45/1 46/1 47/1 48/1 49/1 50/1 51/1 52/1 53/1 54/1 55/1 56/1 57/1 58/1 59/1 60/1 61/1 62/1
1004 #Fourth octave of the harmonic overtone series 7
1005 harm4 9/8 5/4 11/8 3/2 13/8 7/4 15/8
1006 #harmonics 60 to 30 12
1007 harm60-30 15/14 10/9 6/5 5/4 4/3 10/7 3/2 30/19 5/3 12/7 15/8 2/1
1008 #7-limit harmonics 47
1009 harm7lim 2/1 3/1 4/1 5/1 6/1 7/1 8/1 9/1 10/1 12/1 14/1 15/1 16/1 18/1 20/1 21/1 22/1 24/1 25/1 28/1 30/1 32/1 35/1 36/1 40/1 42/1 45/1 48/1 49/1 50/1 56/1 60/1 63/1 64/1 70/1 72/1 75/1 80/1 81/1 84/1 90/1 96/1 98/1 100/1 105/1 112/1 120/1
1010 #6/7/8/9 harmonics, First 9 overtones of 5th through 9th harmonics 10
1011 harm9 9/8 7/6 5/4 4/3 49/36 3/2 14/9 7/4 16/9 2/1
1012 #6)7 7-any from 1.3.5.7.9.11.13 and inversion of "Bastard" Hypodorian Harmonia 7
1013 harm_bastard 9/8 5/4 11/8 3/2 13/8 7/4 2/1
1014 #Darreg Harmonics 4-15 24
1015 harm_darreg 4/1 5/1 6/1 7/1 8/1 9/1 10/1 11/1 12/1 13/1 14/1 15/1 16/1 20/1 24/1 28/1 32/1 36/1 40/1 44/1 48/1 52/1 56/1 60/1
1016 #Harm. Mean 9-tonic 8/7 is HM of 1/1 and 4/3, etc. 9
1017 harm_mean 32/31 16/15 8/7 4/3 3/2 48/31 8/5 12/7 2/1
1018 #HarmC-Hypophrygian 9
1019 harmc-hypop 11/9 23/18 4/3 25/18 13/9 14/9 16/9 17/9 2/1
1020 #HarmD-15-Harmonia 7
1021 harmd-15 16/15 6/5 4/3 22/15 8/5 26/15 2/1
1022 #HarmD-ConMixolydian 7
1023 harmd-conmix 8/7 9/7 3/2 11/7 12/7 13/7 2/1
1024 #HarmD-Dorian 8
1025 harmd-dor 12/11 13/11 14/11 15/11 16/11 18/11 20/11 2/1
1026 #HarmD-Hypodorian 9
1027 harmd-hypod 9/8 5/4 11/8 23/16 3/2 13/8 7/4 15/8 2/1
1028 #HarmD-Hypolydian 8
1029 harmd-hypol 11/10 6/5 13/10 7/5 3/2 8/5 9/5 2/1
1030 #HarmD-Hypophrygian 9
1031 HarmD-Hypop 10/9 11/9 4/3 25/18 13/9 14/9 5/3 16/9 2/1
1032 #HarmD-Lydian 9
1033 harmd-lyd 14/13 15/13 16/13 18/13 19/13 20/13 22/13 24/13 2/1
1034 #HarmD-Mixolydian 7
1035 harmd-mix 8/7 9/7 10/7 11/7 12/7 13/7 2/1
1036 #HarmD-Phryg (with 5 extra tones) 12
1037 harmd-phr 25/24 13/12 9/8 7/6 4/3 5/4 3/2 19/12 5/3 7/4 11/6 2/1
1038 #HarmE-Hypodorian 8
1039 harme-hypod 21/16 43/32 11/8 23/16 3/2 15/8 31/16 2/1
1040 #HarmE-Hypolydian 8
1041 harme-hypol 43/40 21/20 13/10 7/5 3/2 31/20 8/5 2/1
1042 #HarmE-Hypophrygian 9
1043 harme-hypop 23/18 47/36 4/3 25/18 13/9 14/9 17/9 35/18 2/1
1044 #Harrison 16-tone 16
1045 harrison 16/15 10/9 8/7 7/6 6/5 5/4 4/3 17/12 3/2 8/5 5/3 12/7 7/4 9/5 15/8 2/1
1046 #Harrison 8-tone from Serenade for Guitar 8
1047 HARRISON_8 16/15 6/5 5/4 45/32 3/2 5/3 16/9 2/1
1048 #Helmholtz's Chromatic scale 7
1049 HELMHOLTZ 16/15 5/4 4/3 3/2 8/5 15/8 2/1
1050 #Simplified Helmholtz 24 24
1051 helmholtz_24 135/128 16/15 10/9 9/8 75/64 32/27 5/4 81/64 675/512 4/3 45/32 729/512 6075/4096 3/2 25/16 405/256 5/3 27/16 225/128 3645/2048 15/8 243/128 2025/1024 2/1
1052 #Helmholtz's two-keyboard harmonium tuning untempered 24
1053 helmholtz_pure 135/128 16/15 10/9 9/8 75/64 32/27 5/4 512/405 675/512 4/3 45/32 64/45 40/27 3/2 25/16 128/81 5/3 27/16 225/128 16/9 15/8 256/135 160/81 2/1
1054 #Helmholtz's two-keyboard harmonium tuning 24
1055 helmholtz_temp 91.446 111.976 182.892 203.422 274.338 294.868 5/4 406.843 477.760 498.289 589.735 610.265 681.181 701.711 25/16 793.157 884.603 905.132 976.049 996.578 1088.025 1108.554 1179.471 2/1
1056 #Hemiolic Chromatic genus has the strong or 1:2 division of the 12/11 pyknon 7
1057 hem_chrom 34/33 12/11 4/3 3/2 17/11 18/11 2/1
1058 #11'al Hemiolic Chromatic genus with a CI of 11/9, Winnington-Ingram 7
1059 HEM_CHROM11 24/23 12/11 4/3 3/2 36/23 18/11 2/1
1060 #13'al Hemiolic Chromatic or neutral-third genus has a CI of 16/13 7
1061 HEM_CHROM13 26/25 13/12 4/3 3/2 39/25 13/8 2/1
1062 #1:2 Hemiolic Chromatic genus 3 + 6 + 21 parts 7
1063 HEM_CHROM2 50.000 150.000 500.000 700.000 750.000 850.000 2/1
1064 #Inverted-Prime Heptatonic Diamond based on Archytas's Enharmonic 25
1065 hept_diamond 36/35 28/27 16/15 9/8 7/6 6/5 98/81 56/45 5/4 32/25 9/7 4/3 3/2 14/9 25/16 8/5 45/28 81/49 5/3 12/7 16/9 15/8 27/14 35/18 2/1
1066 #Heptatonic Diamond based on Archytas's Enharmonic, 27 tones 27
1067 HEPT_DIAMONDp 36/35 28/27 16/15 9/8 7/6 6/5 5/4 9/7 35/27 4/3 48/35 112/81 45/32 64/45 81/56 35/24 3/2 54/35 14/9 8/5 5/3 12/7 16/9 15/8 27/14 35/18 2/1
1068 #Star hexagonal 13-tone scale 13
1069 hexagonal13 25/24 16/15 10/9 6/5 5/4 4/3 3/2 8/5 5/3 9/5 15/8 48/25 2/1
1070 #Star hexagonal 37-tone scale 37
1071 hexagonal37 25/24 16/15 27/25 625/576 10/9 9/8 256/225 144/125 75/64 6/5 100/81 5/4 32/25 125/96 4/3 27/20 25/18 45/32 64/45 36/25 40/27 3/2 192/125 25/16 8/5 81/50 5/3 128/75 125/72 225/128 16/9 9/5 1152/625 50/27 15/8 48/25 2/1
1072 #Composed of 1.3.5.45, 1.3.5.75, 1.3.5.9, and 1.3.5.25 hexanies 11
1073 hexanic 16/15 9/8 6/5 5/4 4/3 3/2 25/16 8/5 15/8 48/25 2/1
1074 #Hexany Cluster 1 12
1075 Hexany 9/8 144/125 6/5 5/4 4/3 27/20 36/25 3/2 8/5 9/5 48/25 2
1076 #Two out of 1 3 5 7 hexany 6
1077 hexany1 35/32 5/4 21/16 3/2 7/4 15/8
1078 #1.3.5.15 2)4 hexany (1.15 tonic) degenerate, symmetrical pentatonic 5
1079 hexany15 5/4 4/3 3/2 8/5 2/1
1080 #Hexany Cluster 2 12
1081 hexany2 25/24 9/8 6/5 5/4 125/96 4/3 25/18 3/2 25/16 5/3 15/8 2
1082 #Hexany Cluster 3 12
1083 hexany3 25/24 10/9 6/5 5/4 4/3 3/2 8/5 5/3 9/5 15/8 48/25 2
1084 #Hexany Cluster 4 12
1085 hexany4 25/24 9/8 6/5 5/4 4/3 36/25 3/2 8/5 5/3 9/5 15/8 2
1086 #1.3.21.49 2)4 hexany (1.21 tonic) 6
1087 hexany49 8/7 7/6 3/2 49/32 7/4 2/1
1088 #Hexany Cluster 5 12
1089 hexany5 9/8 6/5 5/4 4/3 3/2 25/16 8/5 5/3 9/5 15/8 48/25 2
1090 #Hexany Cluster 6 12
1091 hexany6 25/24 10/9 9/8 6/5 5/4 4/3 3/2 25/16 8/5 5/3 15/8 2
1092 #Hexany Cluster 7 12
1093 hexany7 25/24 6/5 5/4 4/3 25/18 3/2 25/16 8/5 5/3 9/5 15/8 2
1094 #Hexany Cluster 8 12
1095 Hexany8 25/24 6/5 5/4 125/96 4/3 3/2 25/16 8/5 5/3 15/8 48/25 2
1096 #Complex 12 of p. 115, a hexany based on Archytas's Enharmonic 6
1097 hexany_tetr 36/35 16/15 9/7 4/3 48/35 2/1
1098 #Complex 1 of p. 115, a hexany based on Archytas's Enharmonic 6
1099 hexany_trans 28/27 16/15 35/27 4/3 112/81 2/1
1100 #Complex 2 of p. 115, a hexany based on Archytas's Enharmonic 6
1101 HEXANY_TRANS2 28/27 16/15 4/3 48/35 64/45 2/1
1102 #Complex 9 of p. 115, a hexany based on Archytas's Enharmonic 6
1103 HEXANY_TRANS3 28/27 16/15 5/4 9/7 4/3 2/1
1104 #Hexanys 13579 12
1105 hexanys 35/32 9/8 5/4 21/16 45/32 3/2 105/64 27/16 7/4 15/8 63/32 2/1
1106 #Hexanys 1371113 12
1107 hexanys2 77/64 13/8 7/4 33/32 91/64 3/2 231/128 39/32 11/8 21/16 143/128 2/1
1108 #Medieval Arabic scale 7
1109 Hhidjazi 65536/59049 32/27 4/3 262144/177147 32768/19683 16/9 2
1110 #Medieval Arabic scale 7
1111 Hhosaini 65536/59049 32/27 4/3 262144/177147 27/16 16/9 2
1112 #From Greg Higgs announcement of the formation of an Internet Tuning list 7
1113 higgs 3/2 8/5 21/13 34/21 13/8 5/3 2/1
1114 #Hipkins' Chromatic 7
1115 hipkins 256/243 8/7 4/3 3/2 128/81 12/7 2/1
1116 #Observed Japanese pentatonic koto scale 5
1117 Hiradoshi 185.000 337.000 683.000 790.000 2
1118 #Another Japanese pentatonic koto scale 5
1119 HIRADOSHI2 9/8 6/5 3/2 8/5 2/1
1120 #Ho Mai Nhi (Nam Hue) dan tranh scale 5
1121 ho_mai 11/10 4/3 3/2 33/20 2/1
1122 #Hofmann's Enharmonic #1, Dorian mode 7
1123 hofmann1 256/255 16/15 4/3 3/2 128/85 8/5 2/1
1124 #Hofmann's Enharmonic #2, Dorian mode 7
1125 hofmann2 136/135 16/15 4/3 3/2 68/45 8/5 2/1
1126 #Hofmann's Chromatic 7
1127 hofmann_chrom 100/99 10/9 4/3 3/2 50/33 5/3 2/1
1128 #13/10 HyperEnharmonic. This genus is at the limit of usable tunings 7
1129 HYPER_ENH 80/79 40/39 4/3 3/2 120/79 20/13 2/1
1130 #Hyperenharmonic genus from Kathleen Schlesinger's enharmonic Phrygian Harmonia 7
1131 hyper_enh2 48/47 24/23 4/3 3/2 72/47 36/23 2/1
1132 #Hypolydian Chromatic Tonos 12
1133 hypo_chrom 20/19 40/37 10/9 4/3 10/7 40/27 20/13 8/5 80/49 5/3 40/23 2/1
1134 #Hypolydian Diatonic Tonos 12
1135 hypo_diat 10/9 20/17 5/4 4/3 10/7 40/27 20/13 5/3 40/23 20/11 40/21 2/1
1136 #Hypolydian Enharmonic Tonos 12
1137 hypo_enh 40/39 80/77 20/19 4/3 10/7 40/27 20/13 80/51 160/101 8/5 16/9 2/1
1138 #Hypodorian Chromatic Tonos 12
1139 hypod_chrom 16/15 32/29 8/7 16/13 4/3 32/23 16/11 32/21 64/41 8/5 16/9 2/1
1140 #Schlesinger's Chromatic Hypodorian Harmonia 7
1141 hypod_chrom2 16/15 8/7 4/3 16/11 32/21 8/5 2/1
1142 #Schlesinger's Hypodorian Harmonia in a mixed chromatic-enharmonic genus 7
1143 hypod_chromenh 32/31 16/15 4/3 16/11 32/21 8/5 2/1
1144 #A harmonic form of Schlesinger's Chromatic Hypodorian Inverted 7
1145 HYPOD_CHROMinv 17/16 9/8 11/8 3/2 25/16 13/8 2/1
1146 #Hypodorian Diatonic Tonos 12
1147 hypod_diat 16/15 8/7 16/13 32/25 4/3 32/23 16/11 8/5 32/19 16/9 32/17 2/1
1148 #Schlesinger's Hypodorian Harmonia, a subharmonic series through 13 from 16 8
1149 hypod_diat2 16/15 16/13 4/3 32/23 16/11 8/5 16/9 2/1
1150 #A Hypodorian Diatonic with its own trite synemmenon replacing paramese 7
1151 hypod_diatcon 16/15 16/13 4/3 32/23 8/5 16/9 2/1
1152 #Inverted Schlesinger's Hypodorian Harmonia, a harmonic series from 8 from 16 9
1153 hypod_diatinv 9/8 5/4 11/8 23/16 3/2 13/8 7/4 15/8 2/1
1154 #Hypodorian Enharmonic Tonos 12
1155 hypod_enh 32/31 64/61 16/15 32/27 4/3 32/23 16/11 64/43 128/85 32/21 64/37 2/1
1156 #Inverted Schlesinger's Enharmonic Hypodorian Harmonia 7
1157 HYPOD_enhinv 21/16 43/32 11/8 3/2 15/8 31/16 2/1
1158 #A harmonic form of Schlesinger's Hypodorian enharmonic inverted 7
1159 HYPOD_ENHINV2 33/32 17/16 11/8 3/2 49/32 25/16 2/1
1160 #Inverted Schlesinger's Chromatic Hypodorian Harmonia 7
1161 hypod_inv 5/4 21/16 11/8 3/2 7/4 15/8 2/1
1162 #Diatonic Perfect Immutable System in the Hypodorian Tonos 15
1163 hypodorian_pis 12/11 6/5 4/3 3/2 8/5 24/13 2/1 48/23 24/11 12/5 8/3 3/1 24/7 48/13 4/1
1164 #Schlesinger's Hypolydian Harmonia in the chromatic genus 8
1165 hypol_chrom 20/19 10/9 4/3 10/7 20/13 8/5 5/3 2/1
1166 #Inverted Schlesinger's Chromatic Hypolydian Harmonia 8
1167 HYPOL_CHROMINV 6/5 5/4 13/10 7/5 3/2 9/5 19/10 2/1
1168 #harmonic form of Schlesinger's Chromatic Hypolydian inverted 7
1169 HYPOL_CHROMINV2 21/20 11/10 13/10 7/5 3/2 8/5 2/1
1170 #A harmonic form of Schlesinger's Chromatic Hypolydian inverted 7
1171 HYPOL_CHROMINV3 21/20 11/10 13/10 3/2 8/5 17/10 2/1
1172 #Schlesinger's Hypolydian Harmonia, a subharmonic series through 13 from 20 8
1173 hypol_diat 10/9 5/4 4/3 10/7 20/13 5/3 20/11 2/1
1174 #A Hypolydian Diatonic with its own trite synemmenon replacing paramese 7
1175 hypol_diatcon 10/9 5/4 4/3 20/13 5/3 20/11 2/1
1176 #Inverted Schlesinger's Hypolydian Harmonia, a harmonic series from 10 from 20 8
1177 hypol_diatinv 11/10 6/5 13/10 7/5 3/2 8/5 9/5 2/1
1178 #Schlesinger's Hypolydian Harmonia in the enharmonic genus 8
1179 hypol_enh 40/39 20/19 4/3 10/7 20/13 8/5 5/3 2/1
1180 #Inverted Schlesinger's Enharmonic Hypolydian Harmonia 8
1181 hypol_enhinv 5/4 51/40 13/10 7/5 3/2 19/10 39/20 2/1
1182 #A harmonic form of Schlesinger's Hypolydian enharmonic inverted 7
1183 HYPOL_ENHINV2 41/40 21/20 13/10 7/5 29/20 3/2 2/1
1184 #A harmonic form of Schlesinger's Hypolydian enharmonic inverted 7
1185 HYPOL_ENHINV3 41/40 21/20 13/10 3/2 31/20 8/5 2/1
1186 #Schlesinger's Hypolydian Harmonia in the pentachromatic genus 8
1187 hypol_pent 25/24 10/9 4/3 10/7 20/13 100/63 5/3 2/1
1188 #Schlesinger's Hypolydian Harmonia in the first trichromatic genus 8
1189 hypol_tri 30/29 15/14 4/3 10/7 20/13 30/19 60/37 2/1
1190 #Schlesinger's Hypolydian Harmonia in the second trichromatic genus 8
1191 hypol_tri2 30/29 10/9 4/3 10/7 20/13 30/19 5/3 8/1
1192 #The Diatonic Perfect Immutable System in the Hypolydian Tonos 15
1193 hypolydian_pis 14/13 7/6 14/11 7/5 14/9 7/4 28/15 2/1 28/13 7/3 28/11 14/5 28/9 7/2 4/1
1194 #Hypophrygian Chromatic Tonos 12
1195 hypop_chrom 18/17 12/11 9/8 9/7 18/13 36/25 3/2 36/23 8/5 18/11 9/5 2/1
1196 #Schlesinger's Hypophrygian Harmonia in a mixed chromatic-enharmonic genus 7
1197 hypop_chromenh 36/35 18/17 18/13 3/2 36/23 18/11 2/1
1198 #Inverted Schlesinger's Chromatic Hypophrygian Harmonia 7
1199 hypop_chrominv 11/9 23/18 4/3 13/9 16/9 17/9 2/1
1200 #A harmonic form of Schlesinger's Chromatic Hypophrygian inverted 7
1201 HYPOP_CHROMINV2 19/18 10/9 4/3 13/9 14/9 5/3 2/1
1202 #Hypophrygian Diatonic Tonos 12
1203 hypop_diat 9/8 36/31 6/5 9/7 18/13 36/25 3/2 18/11 12/7 9/5 36/19 2/1
1204 #Schlesinger's Hypophrygian Harmonia 8
1205 hypop_diat2 9/8 6/5 18/13 36/25 3/2 18/11 9/5 2/1
1206 #A Hypophrygian Diatonic with its own trite synemmenon replacing paramese 7
1207 hypop_diatcon 9/8 6/5 18/13 36/25 18/11 9/5 2/1
1208 #Inverted Schlesinger's Hypophrygian Harmonia, a harmonic series from 9 from 18 8
1209 hypop_diatinv 10/9 11/9 4/3 25/18 13/9 5/3 16/9 2/1
1210 #Hypophrygian Enharmonic Tonos 12
1211 hypop_enh 36/35 24/23 18/17 6/5 18/13 36/25 3/2 72/47 48/31 36/23 9/5 2/1
1212 #Inverted Schlesinger's Enharmonic Hypophrygian Harmonia 7
1213 hypop_enhinv 23/18 47/36 4/3 13/9 17/9 35/18 2/1
1214 #A harmonic form of Schlesinger's Hypophrygian enharmonic inverted 7
1215 HYPOP_ENHINV2 37/36 19/18 4/3 13/9 3/2 14/9 2/1
1216 #The Diatonic Perfect Immutable System in the Hypophrygian Tonos 15
1217 hypophryg_pis 13/12 13/11 13/10 13/9 13/8 26/15 2/1 52/25 13/6 26/11 13/5 26/9 13/4 26/7 4/1
1218 #Iasti-aiolika, kithara tuning: tonic diatonic and ditonic diatonic 7
1219 iasti 28/27 32/27 4/3 3/2 27/16 16/9 2
1220 #Iastia or Lydia, kithara tuning: intense diatonic and tonic diatonic 7
1221 iastia 28/27 32/27 4/3 3/2 8/5 9/5 2
1222 #17-limitIIVV 21
1223 iivv17 33/32 17/16 13/12 9/8 7/6 39/32 5/4 21/16 4/3 11/8 45/32 17/12 3/2 51/32 13/8 5/3 27/16 7/4 11/6 15/8 2/1
1224 #Indian shruti scale 22
1225 indian 256/243 16/15 10/9 9/8 32/27 6/5 5/4 81/64 4/3 27/20 45/32 729/512 3/2 128/81 8/5 5/3 27/16 16/9 9/5 15/8 243/128 2/1
1226 #Indian shruti scale 22
1227 indian2 256/243 16/15 10/9 9/8 32/27 6/5 5/4 81/64 4/3 27/20 45/32 64/45 3/2 128/81 8/5 5/3 27/16 16/9 9/5 15/8 243/128 2/1
1228 #North Indian Gamut, modern Hindustani gamut out of 22 or more shrutis 12
1229 INDIAN_12 16/15 9/8 6/5 5/4 4/3 45/32 3/2 8/5 27/16 9/5 15/8 2/1
1230 #One observed indian mode 7
1231 indian_a 183.000 342.000 533.000 685.000 871.000 1074.000 2
1232 #Observed Indian mode 7
1233 indian_b 183.000 271.000 534.000 686.000 872.000 983.000 2
1234 #Observed Indian mode 7
1235 indian_c 111.000 314.000 534.000 686.000 828.000 1017.000 2
1236 #Indian D (Ellis, correct) 7
1237 INDIAN_D 174.000 350.000 477.000 697.000 908.000 1070.000 2/1
1238 #Observed Indian Mode 7
1239 indian_e 90.000 366.000 493.000 707.000 781.000 1080.000 2
1240 #Indian shrutis Paul Hahn proposal 22
1241 indian_hahn 25/24 16/15 10/9 9/8 75/64 6/5 5/4 32/25 4/3 27/20 45/32 36/25 3/2 25/16 8/5 5/3 27/16 16/9 9/5 15/8 48/25 2/1
1242 #Inv. Rot. North Indian Gamut 12
1243 indian_invrot 128/125 16/15 6/5 5/4 32/25 4/3 3/2 8/5 128/75 15/8 48/25 2/1
1244 #Indian 22 Perkis 22
1245 indian_perk 36/35 18/17 12/11 9/8 36/31 6/5 5/4 9/7 4/3 26/19 600.000 13/9 52/35 26/17 167/106 13/8 99/59 26/15 52/29 115/62 52/27 2/1
1246 #Indian Raga, From Fortuna, after Helmholtz, ratios by JC 22
1247 indian_rat 34/33 35/33 12/11 9/8 22/19 35/29 5/4 40/31 4/3 11/8 17/12 16/11 3/2 17/11 35/22 59/36 27/16 7/4 38/21 15/8 60/31 2/1
1248 #Rotated North Indian Gamut 12
1249 indian_rot 25/24 16/15 75/64 5/4 4/3 3/2 25/16 8/5 5/3 15/8 125/64 2/1
1250 #Ancient greek Ionic 7
1251 ionic 9/8 5/4 4/3 3/2 5/3 9/5 2
1252 #Iranian Diatonic from Dariush Anooshfar, Safi-a-ddin Armavi's scale from 125 ET 7
1253 iran_diat 220.800 441.600 489.600 710.400 931.200 979.200 2/1
1254 #Iraq 8-tone scale, Ellis 8
1255 iraq 394/355 8192/6561 4/3 623/421 591/355 16/9 513/260 2/1
1256 #Isfahan 8
1257 Isfahan 394/355 8192/6561 4/3 3/2 591/355 16/9 513/260 2/1
1258 #Isfahan (IG #2, DF #8) From Rouanet 5
1259 isfahan2 13/12 7/6 5/4 4/3 2/1
1260 #Medieval Islamic scale of Zalzal 7
1261 islam 9/8 81/64 4/3 40/27 130/81 16/9 2
1262 #Islamic Genus #1 (DF#7), From Rouanet 5
1263 islam2 13/12 7/6 91/72 4/3 2/1
1264 #Iterated 3/2 Scale, IE=3/2, PD=3, SD=2 10
1265 iter_fifth 207.987 311.980 381.309 415.973 467.970 571.963 623.960 658.624 675.957 3/2
1266 #Basic JI with 7-limit tritone 12
1267 ji 16/15 9/8 6/5 5/4 4/3 7/5 3/2 8/5 5/3 9/5 15/8 2/1
1268 #Ben Johnston's combined otonal-utonal scale 12
1269 johnston 135/128 9/8 135/112 5/4 11/8 45/32 3/2 135/88 27/16 7/4 15/8 2/1
1270 #Jorgensen's 5&7 temperament 12
1271 jorgensen 51.429 171.429 291.429 342.857 514.286 531.429 685.714 771.429 857.143 1011.429 1028.571 2/1
1272 #Lou Harrison's Joyous 6 6
1273 joyous 9/8 5/4 3/2 5/3 15/8 2/1
1274 #Johnston 21-note just enharmonic scale 21
1275 just_enh_21 25/24 27/25 9/8 75/64 6/5 5/4 32/25 125/96 4/3 25/18 36/25 3/2 25/16 8/5 5/3 125/72 9/5 15/8 48/25 125/64 2/1
1276 #Johnston 25-note just enharmonic scale 25
1277 just_enh_25 25/24 135/128 16/15 10/9 9/8 75/64 6/5 5/4 81/64 32/25 4/3 27/20 45/32 36/25 3/2 25/16 8/5 5/3 27/16 225/128 16/9 9/5 15/8 48/25 2/1
1278 #Bruce Kanzelmeyer, 11 harmonics from 16 to 32. Base 388.3614815 Hz 11
1279 Kanzelmeyer11 17/16 19/16 5/4 11/8 23/16 3/2 13/8 7/4 29/16 31/16 2/1
1280 #Kanzelmeyer, 18 harmonics from 32 to 64. Base 388.3614815 Hz 18
1281 Kanzelmeyer18 17/16 37/32 19/16 5/4 41/32 43/32 11/8 23/16 47/32 3/2 13/8 53/32 7/4 29/16 59/32 61/32 31/16 2/1
1282 #Kanzelmeyer, 32 harmonics from 32 to 64. Base 388.3614815 Hz 32
1283 Kanzelmeyer32 33/32 17/16 35/32 9/8 37/32 19/16 39/32 5/4 41/32 21/16 43/32 11/8 45/32 23/16 47/32 3/2 49/32 25/16 51/32 13/8 53/32 27/16 55/32 7/4 57/32 29/16 59/32 15/8 61/32 31/16 63/32 2/1
1284 #19-tone 5-limit scale of the Kayenian Imperium on Kayolonia 19
1285 Kayolonian 128/125 16/15 9/8 75/64 6/5 5/4 32/25 4/3 512/375 64/45 3/2 25/16 8/5 5/3 128/75 16/9 15/8 125/64 2/1
1286 #Kayolonian scale F 9
1287 Kayolonian_f 16/15 75/64 5/4 4/3 3/2 8/5 128/75 15/8 2/1
1288 #Kayolonian scale P 9
1289 Kayolonian_p 16/15 75/64 5/4 4/3 3/2 8/5 225/128 15/8 2/1
1290 #Kayolonian scale S 9
1291 kayolonian_s 1125/1024 75/64 5/4 5625/4096 3/2 8/5 225/128 15/8 2/1
1292 #Kayolonian scale T 9
1293 Kayolonian_T 16/15 256/225 4096/3375 4/3 8192/5625 8/5 128/75 2048/1125 2/1
1294 #Kayolonian scale Z 9
1295 Kayolonian_Z 16/15 256/225 5/4 4/3 3/2 8/5 128/75 2048/1125 2/1
1296 #Kepler 1 12
1297 kepler1 135/128 9/8 6/5 5/4 4/3 45/32 3/2 405/256 27/16 9/5 15/8 2
1298 #Kepler 2 12
1299 kepler2 135/128 9/8 6/5 5/4 4/3 45/32 3/2 8/5 27/16 9/5 15/8 2
1300 #Kilroy 12
1301 kilroy 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 27/16 16/9 15/8 2/1
1302 #Buzz Kimball 18-note just scale 18
1303 kimball 25/24 135/128 10/9 9/8 75/64 5/4 81/64 4/3 25/18 45/32 3/2 25/16 5/3 27/16 225/128 16/9 15/8 2/1
1304 #Buzz Kimball 53-note just scale 53
1305 KIMBALL_53 18/17 17/16 16/15 14/13 13/12 12/11 11/10 17/15 8/7 7/6 20/17 13/11 6/5 17/14 11/9 16/13 5/4 14/11 22/17 13/10 17/13 4/3 11/8 18/13 7/5 24/17 17/12 10/7 13/9 16/11 3/2 26/17 20/13 17/11 11/7 8/5 13/8 18/11 28/17 5/3 22/13 17/10 12/7 7/4 30/17 20/11 11/6 24/13 13/7 15/8 32/17 17/9 2/1
1306 #Kirnberger's scale 12
1307 kirnberg 256/243 193.849 32/27 386.314 4/3 45/32 696.663 128/81 889.650 16/9 15/8 2/1
1308 #Kirnberger 1 12
1309 kirnberg1 256/243 9/8 32/27 5/4 4/3 45/32 3/2 128/81 895.112 16/9 15/8 2/1
1310 #Scale by Johnny Klonaris 12
1311 klonaris 17/16 9/8 19/16 5/4 21/16 11/8 3/2 25/16 13/8 7/4 15/8 2/1
1312 #According to Lou Harrison, called " the Delightful" in Korea 5
1313 korea_5 9/8 4/3 3/2 9/5 2
1314 #Double-tie circular mirroring of 4:5:6 and Partch's 5-limit tonality Diamond 7
1315 KRING1 6/5 5/4 4/3 3/2 8/5 5/3 2/1
1316 #Double-tie circular mirroring of 6:7:8 7
1317 kring2 8/7 7/6 4/3 3/2 12/7 7/4 2/1
1318 #Double-tie circular mirroring of 3:5:7 7
1319 kring3 7/6 6/5 7/5 10/7 5/3 12/7 2/1
1320 #Double-tie circular mirroring of 4:5:7 7
1321 kring4 8/7 5/4 7/5 10/7 8/5 7/4 2/1
1322 #Double-tie circular mirroring of 5:6:7 7
1323 kring5 7/6 6/5 7/5 10/7 5/3 12/7 2/1
1324 #Double-tie circular mirroring of 6:7:9 7
1325 kring6 7/6 9/7 4/3 3/2 14/9 12/7 2/1
1326 #Double-tie circular mirroring of 5:7:9 7
1327 kring7 10/9 9/7 7/5 10/7 14/9 9/5 2/1
1328 #5x12 Lambdoma 42
1329 lambdoma5_12 1/12 1/11 1/10 1/9 1/8 1/7 1/6 2/11 1/5 2/9 1/4 3/11 2/7 3/10 1/3 4/11 3/8 2/5 5/12 3/7 4/9 5/11 1/2 5/9 4/7 3/5 5/8 2/3 5/7 3/4 4/5 5/6 1/1 5/4 4/3 3/2 5/3 2/1 5/2 3/1 4/1 5/1
1330 #Prime Lambdoma 56
1331 LAMBDOMA_prim 1/31 1/29 1/23 1/19 1/17 2/31 2/29 1/13 2/23 1/11 3/31 3/29 2/19 2/17 3/23 1/7 2/13 3/19 5/31 5/29 3/17 2/11 1/5 5/23 7/31 3/13 7/29 5/19 3/11 2/7 5/17 7/23 1/3 7/19 5/13 2/5 7/17 3/7 5/11 1/2 7/13 3/5 7/11 2/3 5/7 1/1 7/5 3/2 5/3 2/1 7/3 5/2 3/1 7/2 5/1 7/1
1332 #Lambert's temperament (1774) 12
1333 lambert 93.576 197.207 297.486 394.414 501.396 591.621 698.604 795.531 895.811 999.441 1093.018 2/1
1334 #LaMonte Young, Tuning of For Guitar(1958). See 1/1 March 1992 12
1335 lamonte 16/15 10/9 6/5 5/4 4/3 45/32 3/2 8/5 5/3 9/5 15/8 2/1
1336 #Left Pistol 12
1337 leftpistol 135/128 16/15 9/8 5/4 4/3 45/32 3/2 8/5 5/3 27/16 15/8 2/1
1338 #Lou Harrison mid mode 7
1339 lh_mid 9/8 6/5 4/3 3/2 5/3 7/4 2/1
1340 #Lou Harrison mid mode 2 7
1341 lh_mid2 9/8 6/5 4/3 3/2 12/7 9/5 2/1
1342 #Scale of Ling Lun from C 12
1343 ling-lun 2187/2048 9/8 19683/16384 81/64 177147/131072 729/512 3/2 6561/4096 27/16 59049/32768 243/128 2/1
1344 #Linus Liu's Major Scale, see his 1978 book, "Intonation Theory" 7
1345 liu_maj 10/9 100/81 4/3 3/2 5/3 50/27 2/1
1346 #Linus Liu's Melodic Minor, use 5 and 7 descending and 6 and 8 ascending 9
1347 liu_mel 10/9 6/5 4/3 3/2 81/50 5/3 9/5 50/27 2/1
1348 #Linus Liu's Harmonic Minor 7
1349 liu_min 10/9 6/5 4/3 40/27 8/5 50/27 2/1
1350 #Young's Well-Tempered Piano 12
1351 lmyoung 567/512 9/8 147/128 21/16 1323/1024 189/128 3/2 49/32 7/4 441/256 63/32 2/1
1352 #Lorina 12
1353 lorina 28/27 28/25 7/6 6/5 4/3 4/3 28/19 14/9 7/4 7/4 16/9 2/1
1354 #From Lou Harrison, a pelog style pentatonic 5
1355 lpl_5 16/15 6/5 3/2 8/5 2
1356 #From Lou Harrison, a pelog style pentatonic 5
1357 lpl_5_2 12/11 6/5 3/2 8/5 2
1358 #From Lou Harrison, a pelog style pentatonic 5
1359 lpl_5_3 28/27 4/3 3/2 14/9 2
1360 #From Lou Harrison, a pelog style pentatonic 5
1361 lpl_5_4 16/15 6/5 3/2 15/8 2
1362 #Charles Lucy's scale 21
1363 lucy 68.750 121.875 190.625 245.313 259.375 314.063 381.250 435.938 504.688 573.438 626.563 704.688 750.000 764.063 818.750 885.938 940.625 1009.375 1078.125 1131.250 2/1
1364 #Lucy's 19-tone scale 19
1365 lucy_19 68.451 122.535 190.986 245.070 313.521 381.972 436.056 504.507 572.958 627.042 695.493 763.944 818.028 886.479 940.563 1009.014 1077.465 1131.549 2/1
1366 #Diatonic Lucy's scale 7
1367 lucy_7 190.986 381.972 504.507 695.493 886.479 1077.465 2/1
1368 #Scale on the "Scholar's Lute" 7
1369 lute 8/7 6/5 5/4 4/3 3/2 5/3 2/1
1370 #Lydian Chromatic Tonos 24
1371 LYDIAN_CHROM 20/19 10/9 20/17 40/33 5/4 10/7 20/13 8/5 80/49 5/3 20/11 2/1 40/19 20/9 40/17 80/33 5/2 20/7 40/13 16/5 160/49 10/3 40/11 4/1
1372 #Schlesinger's Lydian Harmonia in the chromatic genus 7
1373 lydian_chrom2 26/25 13/12 13/10 13/9 26/17 13/8 2/1
1374 #A harmonic form of Schlesinger's Chromatic Lydian inverted 7
1375 LYDIAN_CHROMinv 27/26 14/13 18/13 20/13 21/13 22/13 2/1
1376 #Lydian Diatonic Tonos 24
1377 lydian_diat 20/19 10/9 5/4 4/3 10/7 40/27 20/13 5/3 40/23 20/11 40/21 2/1 40/19 20/9 5/2 8/3 20/7 88/27 40/13 10/3 80/23 40/11 80/21 4/1
1378 #Schlesinger's Lydian Harmonia, a subharmonic series through 13 from 26 8
1379 LYDIAN_DIAT2 13/12 13/11 13/10 26/19 13/9 13/8 13/7 2/1
1380 #A Lydian Diatonic with its own trite synemmenon replacing paramese 7
1381 lydian_diatcon 13/12 13/11 13/10 26/19 13/8 13/7 2/1
1382 #Inverted Schlesinger's Lydian Harmonia, a harmonic series from 13 from 26 8
1383 LYDIAN_DIATinv 14/13 16/13 18/13 19/13 20/13 22/13 24/13 2/1
1384 #Lydian Enharmonic Tonos 24
1385 lydian_enh 20/19 10/9 8/7 80/69 20/17 10/7 20/13 80/51 160/101 8/5 20/11 2/1 40/19 20/9 16/7 160/69 40/17 20/7 40/13 160/51 320/101 16/5 40/11 4/1
1386 #Schlesinger's Lydian Harmonia in the enharmonic genus 7
1387 lydian_enh2 52/51 26/25 13/10 13/9 52/35 26/17 2/1
1388 #A harmonic form of Schlesinger's Enharmonic Lydian inverted 7
1389 LYDIAN_ENHinv 53/52 27/26 18/13 20/13 41/26 21/13 2/1
1390 #Schlesinger's Lydian Harmonia in the pentachromatic genus 7
1391 lydian_pent 65/63 13/12 13/10 13/9 65/43 13/8 2/1
1392 #The Diatonic Perfect Immutable System in the Lydian Tonos 15
1393 lydian_pis 10/9 5/4 10/7 20/13 5/3 20/11 2/1 40/19 20/9 5/2 20/7 40/13 10/3 40/11 4/1
1394 #Schlesinger's Lydian Harmonia in the first trichromatic genus 7
1395 lydian_tri 39/38 39/37 13/10 13/9 3/2 39/25 2/1
1396 #Schlesinger's Lydian Harmonia in the second trichromatic genus 7
1397 lydian_tri2 39/38 13/12 13/10 13/9 3/2 13/8 2/1
1398 #Mayumi Reinhard's Harmonic-13 scale. 1/1=440Hz. 12
1399 m-reinhard 14/13 13/12 16/13 13/10 18/13 13/9 20/13 13/8 22/13 13/7 208/105 2/1
1400 #Chalmers' Major Mode Cluster 12
1401 major_clus 135/128 10/9 9/8 5/4 4/3 45/32 3/2 5/3 27/16 16/9 15/8 2/1
1402 #Chalmers' Major Wing with 7 major and 6 minor triads 12
1403 major_wing 25/24 9/8 6/5 5/4 4/3 3/2 25/16 8/5 5/3 9/5 15/8 2/1
1404 #Malaka, lyra tuning: soft or intense chromatic and tonic diatonic 7
1405 malaka 28/27 10/9 4/3 3/2 14/9 16/9 2
1406 #Malcolm's Monochord 12
1407 malcolm 16/15 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 16/9 15/8 2
1408 #Malcolm 2 12
1409 malcolm2 17/16 9/8 19/16 5/4 4/3 17/12 3/2 19/12 5/3 85/48 15/8 2/1
1410 #Malcolm's Mid-East 7
1411 malcolm_me 9/8 5/4 11/8 3/2 7/4 15/8 2/1
1412 #Mandelbaum's septimal 19-tone scale 19
1413 MANDELBAUM_19 25/24 15/14 9/8 7/6 6/5 5/4 9/7 4/3 7/5 36/25 3/2 14/9 8/5 5/3 7/4 9/5 15/8 27/14 2/1
1414 #scale with two different ET step sizes 19
1415 marion 53.996 107.993 161.990 215.986 269.983 323.979 377.976 431.972 485.969 539.965 593.962 647.959 3/2 784.963 867.970 950.978 1033.985 1116.993 2
1416 #Marion's 7-limit Scale # 1 24
1417 marion1 225/224 25/24 15/14 35/32 9/8 7/6 25/21 5/4 9/7 21/16 75/56 45/32 10/7 35/24 3/2 25/16 45/28 5/3 7/4 25/14 175/96 15/8 63/32 2/1
1418 #Marion's 7-limit Scale # 10 25
1419 marion10 49/48 25/24 35/32 10/9 245/216 7/6 175/144 5/4 35/27 49/36 25/18 1225/864 35/24 49/32 14/9 25/16 175/108 5/3 245/144 7/4 49/27 175/96 50/27 35/18 2/1
1420 #Marion's 7-limit Scale # 15 24
1421 marion15 36/35 15/14 54/49 8/7 6/5 60/49 5/4 9/7 27/20 48/35 135/98 10/7 72/49 3/2 54/35 8/5 45/28 80/49 12/7 432/245 9/5 90/49 27/14 2/1
1422 #Marion's 7-limit Scale #19 25
1423 marion19 21/20 15/14 35/32 9/8 189/160 6/5 135/112 5/4 9/7 21/16 27/20 7/5 45/32 10/7 3/2 54/35 63/40 45/28 27/16 7/4 9/5 15/8 27/14 63/32 2/1
1424 #Marion's 7-limit Scale # 26 24
1425 marion26 28/27 16/15 49/45 28/25 784/675 7/6 32/27 56/45 32/25 98/75 4/3 7/5 196/135 112/75 14/9 8/5 49/30 224/135 392/225 16/9 49/27 28/15 49/25 2/1
1426 #Marpurg 1 12
1427 marpurg1 25/24 9/8 6/5 5/4 4/3 45/32 3/2 25/16 5/3 9/5 15/8 2
1428 #Marpurg 3 12
1429 marpurg3 25/24 9/8 6/5 5/4 4/3 45/32 3/2 25/16 27/16 16/9 15/8 2
1430 #Marpurg 4, also Yamaha Pure Minor 12
1431 MARPURG4 25/24 10/9 6/5 5/4 4/3 25/18 3/2 25/16 5/3 9/5 15/8 2/1
1432 #Mubayiwa Bandambira's tuning of keys R2-R9 from Berliner: The soul of mbira. 7
1433 mbira_banda 185.000 389.000 593.000 756.000 914.000 1051.000 1302.000
1434 #Mubayiwa Bandambira's Mbira DzaVadzimu tuning B1=114 Hz 21
1435 mbira_banda2 355.000 554.000 650.000 829.000 982.000 1400.000 1169.000 1850.000 1732.000 2038.000 2207.000 2400.001 1531.000 2415.001 2600.001 2804.001 3008.001 3171.001 3329.001 3466.001 3717.001
1436 #John Gondo's Mbira DzaVadzimu tuning B1=122 Hz 21
1437 mbira_gondo 323.000 480.000 644.000 830.000 981.000 1330.000 1179.000 1888.000 1697.000 2025.000 2189.000 2371.001 1517.000 2390.001 2569.001 2787.001 2923.001 3105.001 3256.001 3417.001 3609.001
1438 #John Kunaka's mbira tuning of keys R2-R9 7
1439 mbira_kunaka 196.000 377.000 506.000 676.000 877.000 1050.000 1148.000
1440 #John Kunaka's Mbira DzaVadzimu tuning B1=113 Hz 21
1441 mbira_kunaka2 455.000 547.000 757.000 935.000 1089.000 1501.000 1260.000 1972.000 1763.000 2153.000 2317.001 2478.001 1638.000 2464.001 2660.001 2841.001 2970.001 3140.001 3341.001 3514.001 3612.001
1442 #Hakurotwi Mude's Mbira DzaVadzimu tuning B1=132 Hz 21
1443 mbira_mude 174.000 289.000 575.000 612.000 770.000 1146.000 976.000 1678.000 1467.000 1848.000 1987.000 2115.000 1326.000 2117.000 2348.001 2528.001 2646.001 2860.001 3032.001 3205.001 3465.001
1444 #Ephat Mujuru's Mbira DzaVadzimu tuning, B1=106 Hz 21
1445 mbira_mujuru 126.000 243.000 399.000 713.000 818.000 1232.000 1082.000 1706.000 1443.000 1858.000 1955.000 2219.000 1371.000 2210.000 2400.001 2556.001 2699.001 2918.001 3069.001 3197.001 3437.001
1446 #Shona mbira scale 7
1447 mbira_zimb 98.000 271.000 472.000 642.000 771.000 952.000 1148.000
1448 #McClain's 12-tone scale, see page 119 of The Myth of Invariance 12
1449 mcclain 135/128 9/8 75/64 5/4 81/64 45/32 3/2 25/16 27/16 15/8 125/64 2/1
1450 #McClain's 18-tone scale, see page 143 of The Myth of Invariance 18
1451 MCCLAIN_18 135/128 9/8 75/64 625/512 5/4 81/64 675/512 45/32 375/256 3/2 25/16 405/256 27/16 225/128 15/8 243/128 125/64 2/1
1452 #McClain's 8-tone scale, see page 51 of The Myth of Invariance 8
1453 MCCLAIN_8 9/8 5/4 45/32 3/2 25/16 27/16 15/8 2/1
1454 #3/10-comma mean-tone scale 12
1455 mean10 68.522 191.006 259.528 382.012 504.497 573.019 695.503 764.025 886.509 125/72 1077.516 2/1
1456 #3/11-comma mean-tone scale 12
1457 mean11 72.628 192.179 264.807 384.359 125/96 576.538 696.090 768.717 888.269 960.897 1080.448 2/1
1458 #4/17-comma mean-tone scale, least square error of 5/4 and 3/2 19
1459 mean17 78.263 156.526 193.789 272.052 350.315 387.579 465.842 503.105 581.368 659.631 696.895 775.158 853.420 890.684 968.947 1875/1024 1084.474 1162.736 2/1
1460 #2/9-comma mean-tone scale 12
1461 mean9 80.231 194.352 75/64 388.703 502.824 583.055 697.176 777.407 891.528 1005.648 1085.879 2/1
1462 #1/5-comma mean-tone scale 12
1463 MEANFIFTH 83.577 195.308 307.039 390.615 502.347 585.923 697.654 781.230 892.962 1004.693 15/8 2/1
1464 #Complete 1/5-comma mean-tone scale 27
1465 meanfifth_27 83.576 16/15 167.152 195.307 256/225 278.884 307.039 390.615 418.770 474.191 502.346 585.922 614.078 669.499 697.654 725.809 781.230 809.385 3375/2048 892.961 921.116 225/128 1004.693 15/8 1116.424 1171.845 2/1
1466 #1/9-Harrison's comma mean-tone scale 12
1467 meanhar2 74.233 192.638 7/6 385.276 503.681 577.914 696.319 770.552 888.957 963.190 1081.595 2/1
1468 #1/11-Harrison's comma mean-tone scale 12
1469 MEANHAR3 81.406 194.687 276.093 389.375 21/16 584.062 697.344 778.750 892.031 973.437 1086.719 2/1
1470 #1/4-Harrison's comma mean-tone scale 12
1471 meanharris 78.178 193.765 271.943 387.530 503.117 581.296 696.883 775.061 890.648 7/4 1084.413 2/1
1472 #Pi-based meantone with Harrison's major third by Erv Wilson 12
1473 meanpi 88.733 204.507 293.240 381.972 497.747 586.479 702.254 790.986 879.718 995.493 1084.225 2/1
1474 #Pi-based meantone by Erv Wilson analogous to 22-tET 12
1475 meanpi2 163.756 218.216 381.972 436.432 600.188 654.648 709.108 872.864 927.324 1091.080 1145.540 2/1
1476 #1/4-comma mean-tone scale 12
1477 meanquar 76.049 193.157 310.265 5/4 503.421 579.470 696.578 25/16 889.735 1006.843 1082.892 2/1
1478 #Complete 1/4-comma mean-tone scale 27
1479 meanquar_27 76.049 117.108 152.098 193.157 234.216 269.206 310.265 5/4 32/25 462.363 503.422 579.471 620.529 655.520 696.578 737.637 25/16 8/5 848.676 889.735 930.794 965.784 1006.843 1082.892 1123.951 125/64 2/1
1480 #1/9-schisma mean-tone scale Sabat-Garibaldi's 12
1481 meansabat 112.165 203.476 6/5 406.952 498.262 610.428 701.738 813.903 905.214 1017.379 1108.690 2/1
1482 #1/8-schisma mean-tone scale Helmholtz 12
1483 meanschis 91.446 203.422 294.868 5/4 498.289 589.735 701.711 793.157 884.603 996.578 1088.025 2/1
1484 #1/7-schisma mean-tone scale 12
1485 meanschis7 91.621 203.352 294.972 386.593 498.324 589.945 701.676 793.296 884.917 996.648 15/8 2/1
1486 #Mean-tone scale with septimal diminished fifth 12
1487 meansept 79.598 194.171 273.769 388.342 502.915 7/5 697.085 776.683 891.256 970.854 1085.427 2/1
1488 #Mean-tone scale with septimal neutral second 19
1489 meansept2 77.570 35/32 193.591 271.161 348.730 387.183 464.752 503.204 580.774 658.344 696.796 774.365 851.935 890.387 967.957 1045.526 1083.978 1161.548 2/1
1490 #Mean-tone scale with septimal minor third 41
1491 MEANSEPT3 35.950 62.453 88.957 124.907 151.410 177.914 213.864 240.367 7/6 293.374 329.324 355.828 382.331 418.281 444.785 471.288 497.791 49/36 560.245 586.748 622.698 649.202 675.705 711.655 738.159 764.662 791.166 827.116 853.619 880.122 916.073 942.576 969.079 995.583 1031.533 1058.036 1084.540 1120.490 1146.993 1173.497 2/1
1492 #Mean-tone scale with septimal narrow fourth 41
1493 meansept4 34.820 61.791 88.762 123.582 150.553 177.524 212.344 239.315 266.286 293.257 328.077 355.048 382.019 416.839 443.810 21/16 497.752 532.572 559.543 586.514 621.334 648.305 675.277 710.096 737.068 764.039 791.010 825.830 852.801 879.772 914.592 441/256 968.534 995.505 1030.325 1057.296 1084.267 1119.087 1146.058 1173.029 2/1
1494 #Mean-tone scale with septimal diminished fifth 29
1495 meansept5 50.451 85.427 135.878 170.854 221.305 256.280 291.256 341.707 376.683 427.134 462.110 497.085 547.536 7/5 632.963 667.939 718.390 753.366 788.341 838.793 873.768 924.219 959.195 994.171 1044.622 1079.598 1130.049 49/25 2/1
1496 #Mean-tone scale with septimal neutral second 41
1497 meansept6 40.866 65.335 89.805 130.671 35/32 179.609 220.475 244.944 269.414 293.883 334.749 359.218 383.687 424.554 449.023 473.492 497.961 538.827 563.296 587.765 628.632 653.101 677.570 718.436 742.905 767.375 791.844 832.710 857.179 881.648 922.514 946.984 971.453 995.922 1036.788 1061.257 1085.726 1126.593 1151.062 1175.531 2/1
1498 #Mean-tone scale with harmonic seventh 41
1499 meansev 35.425 62.146 88.866 124.292 151.012 177.733 213.158 239.879 266.599 293.320 328.745 355.466 382.186 417.612 444.332 471.053 497.773 533.199 559.919 586.640 622.065 648.786 675.506 710.931 49/32 764.373 791.093 826.518 853.239 879.960 915.385 942.105 7/4 995.547 1030.972 1057.692 1084.413 1119.838 1146.559 1173.279 2/1
1500 #Complete 1/6-comma mean-tone scale 27
1501 meansixth_27 88.594 108.147 177.189 196.741 216.294 285.336 304.888 393.482 413.035 482.077 501.629 45/32 64/45 678.818 698.371 717.923 786.965 806.518 875.559 895.112 914.664 983.706 1003.259 1091.853 1111.406 2025/1024 2/1
1502 #1/3-comma mean-tone scale 12
1503 MEANTHIRD 63.504 189.573 6/5 379.145 505.214 25/18 694.787 758.290 5/3 1010.428 1073.932 2/1
1504 #Complete 1/3-comma mean-tone scale 19
1505 meanthird_19 63.504 126.069 189.572 125/108 6/5 379.145 442.649 505.214 25/18 36/25 694.786 758.290 820.855 5/3 947.862 1010.428 1073.931 1136.496 2/1
1506 #Mersenne Lute 1 12
1507 mersen_l1 16/15 10/9 6/5 5/4 4/3 64/45 3/2 8/5 5/3 9/5 15/8 2
1508 #Mersenne lute 2 12
1509 mersen_l2 16/15 9/8 6/5 5/4 4/3 64/45 3/2 8/5 5/3 9/5 15/8 2
1510 #Mersenne spinet 1 12
1511 mersen_s1 16/15 10/9 6/5 5/4 4/3 64/45 3/2 8/5 5/3 16/9 15/8 2
1512 #Mersenne spinet 2 12
1513 mersen_s2 25/24 9/8 75/64 5/4 4/3 25/18 3/2 25/16 5/3 16/9 15/8 2
1514 #Metabolika, lyra tuning: soft diatonic and tonic diatonic 7
1515 metabolika 21/20 7/6 4/3 3/2 14/9 16/9 2
1516 #Erv Wilson's Meta-Meantone tuning 12
1517 metamean 69.413 191.261 260.674 382.522 504.370 573.783 695.630 765.043 886.891 956.304 1078.152 2/1
1518 #Max Meyer, see Doty, David, 1/1 August 1992 (7:4) p.1 and 10-14 19
1519 meyer 16/15 10/9 9/8 8/7 7/6 6/5 5/4 4/3 7/5 10/7 3/2 8/5 5/3 12/7 7/4 16/9 9/5 15/8 2/1
1520 #Max Meyer, see Doty, David, 1/1 August 1992 (7:4) p.1 and 10-14 29
1521 MEYER_29 525/512 135/128 35/32 567/512 9/8 75/64 315/256 5/4 81/64 21/16 675/512 175/128 45/32 729/512 375/256 189/128 3/2 25/16 405/256 105/64 27/16 7/4 225/128 945/512 15/8 243/128 125/64 63/32 2/1
1522 #Mid-Mode1 Enharmonic, permutation of Archytas's with the 5/4 lying medially 7
1523 mid_enh1 36/35 9/7 4/3 3/2 54/35 27/14 2/1
1524 #permutation of Archytas's Enharmonic with the 5/4 medially and 28/27 first 7
1525 mid_enh2 28/27 35/27 4/3 3/2 14/9 35/18 2/1
1526 #From Lou Harrison, a symmetrical pentatonic with minor thirds 5
1527 minor 6/5 4/3 3/2 5/3 2
1528 #A minor pentatonic 5
1529 minor2 8/7 4/3 8/5 16/9 2/1
1530 #Chalmers' Minor Mode Cluster 12
1531 minor_clus 16/15 9/8 6/5 4/3 27/20 64/45 3/2 8/5 27/16 16/9 9/5 2
1532 #Minor Duodene 12
1533 minor_duo 10/9 9/8 6/5 5/4 4/3 27/20 3/2 8/5 5/3 9/5 15/8 2
1534 #Chalmers' Minor Wing with 7 minor and 6 major triads 12
1535 minor_wing 9/8 6/5 5/4 4/3 36/25 3/2 8/5 5/3 9/5 15/8 48/25 2
1536 #21/20 x 20/19 x 19/18=7/6 7/6 x 8/7=4/3 9
1537 misca 21/20 21/19 7/6 4/3 3/2 63/40 63/38 7/4 2/1
1538 #33/32 x 32/31x 31/27=11/9 11/9 x 12/11=4/3 9
1539 miscb 33/32 33/31 11/9 4/3 3/2 99/64 99/62 11/6 2/1
1540 #96/91 x 91/86 x 86/54=32/27. 32/27 x 9/8=4/3. 9
1541 MISCC 96/91 48/43 32/27 4/3 3/2 144/91 72/43 16/9 2/1
1542 #27/26 x 26/25 x 25/24=9/8. 9/8 x 32/27=4/3. 9
1543 miscd 27/26 27/25 9/8 4/3 3/2 81/52 81/50 27/16 2/1
1544 #15/14 x 14/13 x 13/12=5/4. 5/4 x 16/15= 4/3. 9
1545 misce 15/14 15/13 5/4 4/3 3/2 45/28 45/26 15/8 2/1
1546 #SupraEnh1 9
1547 miscf 28/27 16/15 4/3 81/56 3/2 14/9 8/5 27/14 2/1
1548 #SupraEnh 2 9
1549 miscg 28/27 16/15 9/7 4/3 3/2 14/9 8/5 27/14 2/1
1550 #SupraEnh 3 9
1551 misch 28/27 16/15 9/7 4/3 3/2 14/9 15/8 27/14 2/1
1552 #A mixture of the hemiolic chromatic and diatonic genera, 75 + 75 + 150 + 200 c 9
1553 mix_ennea3 75.000 150.000 300.000 500.000 700.000 775.000 850.000 1000.000 2/1
1554 #Each 'tetrachord" contains 67 + 67 + 133 + 233 9
1555 mix_ennea4 66.667 133.333 266.667 500.000 700.000 766.667 833.333 966.667 2/1
1556 #A mixture of the intense chromatic genus and the permuted intense diatonic 9
1557 mix_ennea5 100.000 200.000 400.000 500.000 700.000 800.000 900.000 1100.000 2/1
1558 #A " Mixed type" pentatonic, from Lou Harrison 5
1559 mixed 12/11 6/5 3/2 13/8 2
1560 #A mixture of the hemiolic chromatic and diatonic genera, 75 + 75 + 150 + 200 c 9
1561 mixed9_3 75.000 150.000 300.000 500.000 700.000 775.000 850.000 1000.000 2/1
1562 #Mixed Enneatonic 4, Each 'tetrachord" contains 67 + 67 + 133 + 233 . 9
1563 mixed9_4 66.667 133.333 266.667 500.000 700.000 766.667 833.333 966.667 2/1
1564 #A mixture of the intense chromatic genus and the permuted intense diatonic 9
1565 mixed9_5 100.000 200.000 400.000 500.000 700.000 800.000 900.000 1100.000 2/1
1566 #Mixed 9-tonic 6, Mixture of Chromatic and Diatonic 9
1567 mixed9_6 100.000 200.000 300.000 500.000 700.000 800.000 900.000 1000.000 2/1
1568 #Mixed 9-tonic 7, Mixture of Chromatic and Diatonic 9
1569 mixed9_7 100.000 300.000 400.000 500.000 700.000 800.000 1000.000 1100.000 2/1
1570 #Mixed 9-tonic 8, Mixture of Chromatic and Diatonic 9
1571 mixed9_8 200.000 300.000 400.000 500.000 700.000 900.000 1000.000 1100.000 2/1
1572 #A " Mixed type" pentatonic, from Lou Harrison 5
1573 mixed_2 6/5 4/3 3/2 15/8 2
1574 #A " Mixed type" pentatonic, from Lou Harrison 5
1575 mixed_3 6/5 9/7 3/2 8/5 2
1576 #A " Mixed type" pentatonic, from Lou Harrison 5
1577 mixed_4 15/14 5/4 3/2 12/7 2
1578 #MIXOLYDIAN CHROMATIC TONOS 24
1579 mixol_chrom 22/21 11/10 22/19 44/37 11/9 11/8 11/7 44/27 88/53 22/13 11/6 2/1 44/21 11/5 44/19 88/37 22/9 11/4 22/7 88/27 176/53 44/13 11/3 4/1
1580 #Schlesinger's Mixolydian Harmonia in the chromatic genus 7
1581 MIXOL_CHROM2 28/27 14/13 14/11 7/5 28/19 14/9 2/1
1582 #A harmonic form of Schlesinger's Chromatic Mixolydian inverted 7
1583 MIXOL_CHROMinv 16/15 8/7 10/7 11/7 23/14 12/7 2/1
1584 #MIXOLYDIAN DIATONIC TONOS 24
1585 mixol_diat 22/21 11/10 11/9 22/17 11/8 22/15 11/7 22/13 44/25 11/6 44/23 2/1 44/21 11/5 22/9 44/17 11/4 44/15 22/7 44/13 88/25 11/3 88/23 4/1
1586 #Schlesinger's Mixolydian Harmonia, a subharmonic series though 13 from 28 8
1587 mixol_diat2 14/13 7/6 14/11 4/3 7/5 14/9 7/4 2/1
1588 #A Mixolydian Diatonic with its own trite synemmenon replacing paramese 7
1589 mixol_diatcon 14/13 7/6 14/11 3/2 14/9 7/4 2/1
1590 #A Mixolydian Diatonic with its own trite synemmenon replacing paramese 7
1591 mixol_diatinv 8/7 9/7 4/3 11/7 12/7 13/7 2/1
1592 #Inverted Schlesinger's Mixolydian Harmonia, a harmonic series from 14 from 28 8
1593 mixol_diatinv2 8/7 9/7 4/3 10/7 11/7 12/7 13/7 2/1
1594 #MIXOLYDIAN ENHARMONIC TONOS 24
1595 mixol_enh 22/21 11/10 44/39 8/7 22/19 4/3 11/7 8/5 176/109 44/27 88/49 2/1 44/21 11/5 88/39 16/7 44/19 8/3 22/7 16/5 352/109 88/27 176/49 4/1
1596 #Schlesinger's Mixolydian Harmonia in the enharmonic genus 7
1597 mixol_enh2 56/55 28/27 14/11 7/5 56/39 28/19 2/1
1598 #A harmonic form of Schlesinger's Mixolydian inverted 7
1599 MIXOL_ENHinv 31/30 16/15 10/7 11/7 45/28 23/14 2/1
1600 #Schlesinger's Mixolydian Harmonia in the pentachromatic genus 7
1601 mixol_penta 35/34 14/13 14/11 7/5 35/24 14/9 2/1
1602 #The Diatonic Perfect Immutable System in the Mixolydian Tonos 15
1603 mixol_pis 11/10 11/9 11/8 11/7 22/13 11/6 2/1 44/21 11/5 22/9 11/4 22/7 44/13 11/3 4/1
1604 #Schlesinger's Mixolydian Harmonia in the first trichromatic genus 7
1605 mixol_tri1 42/41 21/20 14/11 7/5 42/29 3/2 2/1
1606 #Schlesinger's Mixolydian Harmonia in the second trichromatic genus 7
1607 mixol_tri2 42/41 14/13 14/11 7/5 42/29 14/9 2/1
1608 #Mohajira + Bayati (Dudon) 3 + 4 + 3 Mohajira and 3 + 3 + 4 Bayati tetrachords 7
1609 moha_baya 150.000 350.000 500.000 700.000 850.000 1000.000 2/1
1610 #Mohajira (Dudon) Two 3 + 4 + 3 Mohajira tetrachords 7
1611 mojahira 150.000 350.000 500.000 700.000 850.000 1050.000 2/1
1612 #Montford's Spondeion, a mixed septimal and undecimal pentatonic 5
1613 montford 28/27 4/3 3/2 18/11 2/1
1614 #Montvallon 12
1615 montvallon 135/128 9/8 6/5 5/4 4/3 45/32 3/2 405/256 5/3 16/9 15/8 2
1616 #Wilson 11 of 34-tET, G=9, Chain of minor & major thirds with Kleismatic fusion 11
1617 mos11-34 70.588 247.059 317.647 494.118 564.706 635.294 811.765 882.353 952.941 1129.412 2/1
1618 #MOS 12 of 17, generator 7 12
1619 mos12-17 70.588 141.176 282.353 352.941 494.118 564.706 635.294 776.471 847.059 988.235 1058.824 2/1
1620 #MOS 12 of 22, contains nearly just, recognizable diatonic, and pentatonic scales 12
1621 mos12-22 163.636 218.182 381.818 436.364 490.909 654.545 709.091 872.727 927.273 1090.909 1145.455 2/1
1622 #MOS 13 of 22, contains 5 and 9 tone MOS as well. G= 5 or 17 13
1623 mos13-22 109.091 218.182 327.273 381.818 490.909 600.000 654.545 763.636 872.727 927.273 1036.364 1145.455 2/1
1624 #MOS 15 in 22, contains 7 and 8 tone MOS as well. G= 3 or 19 15
1625 mos15-22 109.091 163.636 272.727 327.273 436.364 490.909 600.000 654.545 763.636 818.182 927.273 981.818 1090.909 1145.455 2/1
1626 #Egyptian scale by Miha'il Musaqa 7
1627 musaqa 200.000 350.000 500.000 700.000 850.000 1000.000 2
1628 #Neidhardt temperament (1724) 12
1629 neidhardt 96.090 196.090 298.045 394.135 500.000 596.090 698.045 796.090 894.135 1000.000 1096.090 2/1
1630 #Neutral Diatonic, 9 + 9 + 12 parts 7
1631 NEUTR_DIAT 150.000 300.000 500.000 700.000 850.000 1000.000 2/1
1632 #Neutral Diatonic 9 + 12 + 9 parts 7
1633 NEUTR_DIAT2 150.000 350.000 500.000 700.000 850.000 1050.000 2/1
1634 #Quasi-Neutral Pentatonic 1, 15/13 x 52/45 in each trichord, after Dudon 5
1635 neutr_pent1 52/45 4/3 3/2 26/15 2/1
1636 #Quasi-Neutral Pentatonic 2, 15/13 x 52/45 in each trichord, after Dudon 5
1637 neutr_pent2 15/13 4/3 3/2 45/26 2/1
1638 #New Soft Diatonic genus with equally divided Pyknon; Dorian Mode; 1:1 pyknon 7
1639 new_diatsoft 250.000 375.000 500.000 700.000 950.000 1075.000 2/1
1640 #New Enharmonic 7
1641 new_enh 81/80 16/15 4/3 3/2 243/160 8/5 2/1
1642 #P2 New Enharmonic 7
1643 NEW_ENH2 5/4 81/64 4/3 3/2 15/8 243/128 2/1
1644 #9-limit diamond with 21/20, 16/15, 15/8 and 40/21 added for evenness 23
1645 novaro 21/20 16/15 10/9 9/8 8/7 7/6 6/5 5/4 9/7 4/3 7/5 10/7 3/2 14/9 8/5 5/3 12/7 7/4 16/9 9/5 15/8 40/21 2/1
1646 #1-15 diamond, see Novaro, 1927, Sistema Natural base del Natural-Aproximado, p 49
1647 novaro15 16/15 15/14 14/13 13/12 12/11 11/10 10/9 9/8 8/7 15/13 7/6 13/11 6/5 11/9 16/13 5/4 14/11 9/7 13/10 4/3 15/11 11/8 18/13 7/5 10/7 13/9 16/11 22/15 3/2 20/13 14/9 11/7 8/5 13/8 18/11 5/3 22/13 12/7 26/15 7/4 16/9 9/5 20/11 11/6 24/13 13/7 28/15 15/8 2/1
1648 #1)8 octany from 1.3.5.7.9.11.13.15, 1.3 tonic 8
1649 octany1 9/8 5/4 11/8 3/2 13/8 7/4 15/8 2/1
1650 #7)8 octany from 1.3.5.7.9.11.13.15, 1.3.5.7.9.11.13 tonic 8
1651 octany7 15/14 15/13 5/4 15/11 3/2 5/3 15/8 2/1
1652 #Octony on Harmonic Minor, from Palmer on an album of Turkish music 8
1653 octony 9/8 6/5 5/4 4/3 3/2 8/5 15/8 2/1
1654 #7-limit Octony. See Ch.6 p.118 an Euler Genus Musicum on white keys + Bb 8
1655 octony7 35/32 5/4 21/16 3/2 105/64 7/4 15/8 7/1
1656 #Rotated Octony on Harmonic Minor 8
1657 octony_rot 5/4 4/3 3/2 25/16 8/5 5/3 15/8 2/1
1658 #Complex 10 of p. 115, an Octony based on Archytas's Enharmonic, 8
1659 OCTONY_trans 28/27 16/15 5/4 4/3 25/16 45/28 5/3 2/1
1660 #Complex 6 of p. 115 based on Archytas's Enharmonic, an Octony 8
1661 OCTONY_trans2 28/27 16/15 135/112 243/196 9/7 4/3 27/14 2/1
1662 #Complex 5 of p. 115 based on Archytas's Enharmonic, an Octony 8
1663 octony_trans3 28/27 16/15 75/64 135/112 5/4 4/3 15/8 2/1
1664 #Complex 11 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones 8
1665 OCTONY_TRANS4 28/27 16/15 9/7 4/3 45/28 81/49 12/7 2/1
1666 #Complex 15 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones 8
1667 OCTONY_TRANS5 28/27 16/15 175/144 5/4 35/27 4/3 35/18 2/1
1668 #Complex 14 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones 8
1669 OCTONY_TRANS6 36/35 28/27 16/15 9/7 324/245 4/3 48/35 2/1
1670 #ODD-1 12
1671 odd1 25/24 6/5 5/4 36/25 3/2 25/16 8/5 5/3 9/5 15/8 48/25 2/1
1672 #ODD-2 12
1673 odd2 10/9 9/8 75/64 6/5 5/4 4/3 25/18 3/2 5/3 9/5 15/8 2/1
1674 #von Oettingen's Orthotonophonium tuning 53
1675 oettingen 81/80 128/125 25/24 135/128 16/15 27/25 1125/1024 10/9 9/8 729/640 144/125 75/64 1215/1024 6/5 243/200 10125/8192 5/4 81/64 32/25 162/125 675/512 4/3 27/20 512/375 25/18 45/32 729/512 36/25 375/256 6075/4096 3/2 243/160 192/125 25/16 405/256 8/5 81/50 3375/2048 5/3 27/16 128/75 216/125 225/128 16/9 9/5 729/400 30375/16384 15/8 243/128 48/25 125/64 2025/1024 2/1
1676 #von Oettingen's Orthotonophonium tuning with central 1/1 53
1677 OETTINGEN2 81/80 128/125 25/24 135/128 16/15 27/25 1125/1024 10/9 9/8 256/225 144/125 75/64 32/27 6/5 4096/3375 100/81 5/4 81/64 32/25 125/96 675/512 4/3 27/20 512/375 25/18 45/32 64/45 36/25 375/256 40/27 3/2 1024/675 192/125 25/16 128/81 8/5 81/50 3375/2048 5/3 27/16 128/75 125/72 225/128 16/9 9/5 2048/1125 50/27 15/8 256/135 48/25 125/64 160/81 2/1
1678 #This scale by Norbert. L. Oldani appeared in Interval 5(3):10-11 12
1679 oldani 25/24 9/8 32/27 5/4 4/3 45/32 3/2 25/16 5/3 16/9 15/8 2/1
1680 #Scale of ancient Greek flutist Olympos, 6th century BC as reported by Partch 5
1681 Olympos 16/15 4/3 64/45 16/9 2/1
1682 #Other Music (7 limit black keys) 12
1683 other 15/14 9/8 7/6 5/4 4/3 7/5 3/2 14/9 5/3 7/4 15/8 2/1
1684 #Other Music gamelan 12
1685 other_gamelan 15/14 9/8 7/6 5/4 4/3 7/5 3/2 14/9 5/3 7/4 15/8 2/1
1686 #over/under16 30
1687 over-under16 2/1 3/1 4/1 5/1 6/1 7/1 8/1 9/1 10/1 11/1 12/1 13/1 14/1 15/1 16/1 8/1 16/3 4/1 16/5 8/3 16/7 2/1 16/9 8/5 16/11 4/3 16/13 8/7 16/15 1/1
1688 #Overtones 1-23 reduced within one octave 12
1689 overtone 17/16 9/8 19/16 5/4 21/16 11/8 23/16 3/2 13/8 7/4 15/8 2/1
1690 #Overtones 1-12 12
1691 overtones 1/1 2/1 3/1 4/1 5/1 6/1 7/1 8/1 9/1 10/1 11/1 12/1
1692 #Observed south pacific pentatonic xylophone tuning 5
1693 pacific 202.000 370.000 685.000 903.000 2
1694 #Palace mode+ 12
1695 palace 18/17 9/8 8/7 9/7 4/3 10/7 3/2 36/23 18/11 12/7 9/5 2/1
1696 #Parachromatic, new genus 5 + 5 + 20 parts 7
1697 parachrom 83.333 166.667 500.000 700.000 783.333 866.667 2/1
1698 #Ramis de Pareja 12
1699 pareja 135/128 10/9 32/27 5/4 4/3 45/32 3/2 128/81 5/3 16/9 15/8 2
1700 #Partch 11-limit Diamond 29
1701 PARTCH_29 12/11 11/10 10/9 9/8 8/7 7/6 6/5 11/9 5/4 14/11 9/7 4/3 11/8 7/5 10/7 16/11 3/2 14/9 11/7 8/5 18/11 5/3 12/7 7/4 16/9 9/5 20/11 11/6 2/1
1702 #13-limit Diamond after Partch, Genesis of a Music, p 454, 2nd edition 41
1703 PARTCH_41 14/13 13/12 12/11 11/10 10/9 9/8 8/7 7/6 13/11 6/5 11/9 16/13 5/4 14/11 9/7 13/10 4/3 11/8 18/13 7/5 10/7 13/9 16/11 3/2 20/13 14/9 11/7 8/5 13/8 18/11 5/3 22/13 12/7 7/4 16/9 9/5 20/11 11/6 24/13 13/7 2/1
1704 #Harry Partch's 43-tone pure scale 43
1705 PARTCH_43 81/80 33/32 21/20 16/15 12/11 11/10 10/9 9/8 8/7 7/6 32/27 6/5 11/9 5/4 14/11 9/7 21/16 4/3 27/20 11/8 7/5 10/7 16/11 40/27 3/2 32/21 14/9 11/7 8/5 18/11 5/3 27/16 12/7 7/4 16/9 9/5 20/11 11/6 15/8 40/21 64/33 160/81 2/1
1706 #Partch Greek scales from "Two Studies on Ancient Greek Scales" on black/white 12
1707 partch_greek 1/1 28/27 9/8 16/15 4/3 6/5 3/2 3/2 14/9 8/5 8/5 2/1
1708 #Observed Javanese Pelog scale 7
1709 pelog 137.000 446.000 575.000 687.000 820.000 1098.000 2
1710 #Chalmers' PELOG/BH SLENDRO 12
1711 pelog_jc 1/1 8/7 8/7 9/8 64/49 6/5 3/2 3/2 3/2 12/7 8/5 2/1
1712 #Modern Pelog designed by Dan Schmidt and used by Berkeley Gamelan 7
1713 pelog_usa 11/10 6/5 7/5 3/2 8/5 9/5 2
1714 #Pentagonal scale 9/8 3/2 16/15 4/3 5/3 12
1715 penta1 27/25 9/8 6/5 81/64 729/512 36/25 243/160 81/50 27/16 9/5 243/128 2
1716 #Pentagonal scale 7/4 4/3 15/8 32/21 6/5 12
1717 penta3 49/48 35/32 7/6 1225/1024 245/192 49/36 25/18 49/32 5/3 7/4 175/96 2
1718 #2)6 1.3.5.7.11.13 Pentadekany 15
1719 pentadekany 13/12 55/48 7/6 5/4 65/48 11/8 35/24 143/96 77/48 13/8 5/3 7/4 11/6 91/48 2/1
1720 #2)6 1.3.5.7.9.11 Pentadekany (1.3 tonic) 15
1721 PENTADEKANY2 33/32 9/8 55/48 7/6 5/4 21/16 11/8 35/24 3/2 77/48 5/3 7/4 11/6 15/8 2/1
1722 #4:5:6 Pentatriadic scale 11
1723 pentatriad 10/9 9/8 5/4 4/3 45/32 3/2 5/3 27/16 16/9 15/8 2/1
1724 #PERKIS 60-30 12
1725 perkis 15/14 10/9 6/5 5/4 4/3 10/7 3/2 30/19 5/3 12/7 15/8 2/1
1726 #Permuted Enharmonic, After Wilson's Marwa Permutations, See page 110. 7
1727 perm_enh 28/27 16/15 4/3 3/2 14/9 16/9 2/1
1728 #Perrett Tierce-Tone 19
1729 perrett-tt 21/20 35/32 9/8 7/6 6/5 5/4 21/16 4/3 7/5 35/24 3/2 63/40 8/5 5/3 7/4 9/5 15/8 63/32 2/1
1730 #Perrett / Tartini / Pachymeres Enharmonic 7
1731 perrett 21/20 16/15 4/3 3/2 63/40 8/5 2/1
1732 #Perrett's 14-tone system (subscale of tierce-tone) 14
1733 perrett_14 21/20 9/8 7/6 5/4 21/16 4/3 7/5 3/2 63/40 5/3 7/4 15/8 63/32 2/1
1734 #Perrett's Chromatic 7
1735 perrett_chrom 21/20 9/8 4/3 3/2 63/40 27/16 2/1
1736 #Persian Tar Scale, from Dariush Anooshfar, Internet Tuning List 2/10/94 17
1737 persian 256/243 27/25 9/8 32/27 243/200 81/64 4/3 25/18 36/25 3/2 128/81 81/50 27/16 16/9 729/400 243/128 2/1
1738 #Phi + 1 equal division by 17 17
1739 phi_17 98.011 196.021 294.032 392.042 490.053 588.064 686.074 784.085 882.096 980.106 1078.117 1176.128 1274.138 1372.149 1470.159 1568.170 1666.181
1740 #Inverted Conjunct Chromatic Phrygian 7
1741 phryg_chromcon 13/12 4/3 17/12 3/2 11/6 23/12 2/1
1742 #Harmonic Conjunct Chromatic Phrygian 7
1743 PHRYG_CHROMcon2 13/12 9/8 7/6 3/2 19/12 5/3 2/1
1744 #Inverted Schlesinger's Chromatic Phrygian 7
1745 PHRYG_CHROMinv 25/24 13/12 4/3 3/2 19/12 5/3 2/1
1746 #Schlesinger's Phrygian Harmonia, a subharmonic series through 13 from 24 8
1747 PHRYG_DIAT 12/11 6/5 4/3 24/17 3/2 12/7 24/13 2/1
1748 #A Phrygian Diatonic with its own trite synemmenon replacing paramese 7
1749 phryg_diatcon 12/11 6/5 4/3 24/17 12/7 24/13 2/1
1750 #Inverted Schlesinger's Phrygian Harmonia, a harmonic series from 12 from 24 8
1751 PHRYG_DIATinv 13/12 7/6 4/3 17/12 3/2 5/3 11/6 2/1
1752 #Schlesinger's Phrygian Harmonia in the enharmonic genus 7
1753 PHRYG_ENH 48/47 24/23 4/3 3/2 48/31 8/5 2/1
1754 #Harmonic Conjunct Enharmonic Phrygian 7
1755 PHRYG_ENHcon 13/12 53/48 9/8 3/2 37/24 19/12 2/1
1756 #Inverted Schlesinger's Enharmonic Phrygian Harmonia 7
1757 phryg_enhinv 5/4 31/24 4/3 3/2 23/12 47/24 2/1
1758 #Inverted harmonic form of Schlesinger's Enharmonic Phrygian 7
1759 PHRYG_ENHINV2 49/48 25/24 4/3 3/2 37/24 19/12 2/1
1760 #Inverted Schlesinger's Chromatic Phrygian Harmonia 7
1761 phryg_inv 7/6 5/4 4/3 3/2 11/6 23/12 2/1
1762 #Inverted Conjunct Phrygian Harmonia with 17, the local Trite Synemmenon 7
1763 phryg_invcon 13/12 7/6 17/12 3/2 5/3 11/6 2/1
1764 #Schlesinger's Phrygian Harmonia in the pentachromatic genus 7
1765 phryg_penta 30/29 12/11 4/3 3/2 30/19 12/7 2/1
1766 #The Diatonic Perfect Immutable System in the Phrygian Tonos 15
1767 phryg_pis 9/8 9/7 18/13 3/2 18/11 9/5 2/1 36/17 9/4 18/7 36/13 3/1 36/11 18/5 4/1
1768 #Schlesinger's Phrygian Harmonia in the chromatic genus 7
1769 phryg_tri1 24/23 12/11 4/3 3/2 8/5 12/7 2/1
1770 #Schlesinger's Phrygian Harmonia in the second trichromatic genus 7
1771 phryg_tri2 36/35 12/11 4/3 3/2 36/23 12/7 2/1
1772 #Schlesinger's Phrygian Harmonia in the first trichromatic genus 7
1773 phryg_tri3 36/35 18/17 4/3 3/2 36/23 18/11 2/1
1774 #Old Phrygian ?? 12
1775 phrygian 10/9 6/5 5/4 4/3 27/20 40/27 3/2 8/5 5/3 16/9 9/5 2
1776 #Old Phrygian?, also McClain's 7-tone scale 7
1777 PHRYGIAN7 10/9 6/5 4/3 3/2 5/3 9/5 2/1
1778 #Phrygian Chromatic Tonos 24
1779 PHRYGIAN_CHROM 18/17 9/8 6/5 36/29 9/7 18/13 3/2 36/23 8/5 18/11 9/5 2/1 36/17 9/4 12/5 72/29 18/7 36/13 3/1 72/23 16/5 36/11 18/5 4/1
1780 #Phrygian Diatonic Tonos 24
1781 PHRYGIAN_DIAT 18/17 9/8 9/7 4/3 18/13 36/25 3/2 18/11 12/7 9/5 36/19 2/1 36/17 9/4 18/7 8/3 36/13 72/25 3/1 36/11 24/7 18/5 72/19 4/1
1782 #Phrygian Enharmonic Tonos 12
1783 phrygian_enh 18/17 9/8 36/31 72/61 6/5 4/3 3/2 72/47 48/31 36/23 72/41 2/1
1784 #Phrygian Harmonia-Aliquot 24 (flute tuning) 12
1785 phrygian_harm 24/23 12/11 8/7 6/5 24/19 4/3 24/17 3/2 8/5 12/7 24/13 2/1
1786 #13th root of pi 13
1787 pi 152.446 304.892 457.337 609.783 762.229 914.675 1067.121 1219.566 1372.012 1524.458 1676.904 1829.350 1981.796
1788 #Enhanced Piano -Total Gamut, see 1/1 vol 8:2 January 1994 19
1789 piano 135/128 16/15 9/8 7/6 6/5 5/4 4/3 45/32 64/45 3/2 14/9 8/5 5/3 27/16 7/4 16/9 15/8 63/32 2/1
1790 #Enhanced piano 7-limit 12
1791 piano7 135/128 9/8 7/6 5/4 4/3 45/32 3/2 14/9 27/16 7/4 15/8 2/1
1792 #Pierce-Bohlen scale. 13-tone equal division of 3 13
1793 pierce 146.304 292.608 438.913 585.217 731.521 877.825 1024.130 1170.434 1316.738 1463.042 1609.347 1755.651 3/1
1794 #Three interlocking harmonic series on 1:5:3 by Larry Polansky in Psaltery 50
1795 polansky_ps 2/1 3/1 4/1 5/1 6/1 7/1 8/1 9/1 10/1 11/1 12/1 13/1 14/1 15/1 16/1 17/1 5/4 5/2 15/4 5/1 25/4 15/2 35/4 10/1 45/4 25/2 55/4 15/1 65/4 35/2 75/4 20/1 85/4 3/2 3/1 9/2 6/1 15/2 9/1 21/2 12/1 27/2 15/1 33/2 18/1 39/2 21/1 45/2 24/1 51/2
1796 #Poole's double diatonic or dichordal scale 7
1797 poole 9/8 5/4 4/3 3/2 5/3 7/4 2/1
1798 #Portugese bagpipe tuning 7
1799 PORTBAG1 14/13 81/68 32/25 36/25 128/81 7/4 2/1
1800 #Portugese bagpipe tuning 2 10
1801 portbag2 21/20 14/13 32/27 17/14 21/16 64/45 3/2 25/16 59/32 2/1
1802 #What Lou Harrison calls " the Prime Pentatonic"; A widely used scale 5
1803 prime_5 9/8 5/4 3/2 5/3 2
1804 #Progressive Enneatonic, 50+100+150+200 in each half (500 ) 9
1805 prog_ennea 50.000 150.000 300.000 500.000 700.000 750.000 850.000 1000.000 2/1
1806 #Progressive Enneatonic, appr. 50+100+150+200 in each half (500 ) 9
1807 PROG_ENNEA1 36/35 12/11 19/16 4/3 3/2 17/11 18/11 16/9 2/1
1808 #Progressive Enneatonic, appr. 50+100+200+150 in each half (500 ) 9
1809 prog_ennea2 34/33 12/11 27/22 4/3 3/2 17/11 18/11 81/44 2/1
1810 #Progressive Enneatonic, appr. 50+100+150+200 in each half (500 ) 9
1811 prog_ennea3 34/33 12/11 32/27 4/3 3/2 17/11 18/11 16/9 2/1
1812 #Complex 4 of p. 115 based on Archytas's Enharmonic 7
1813 ps-dorian 28/27 16/15 4/3 3/2 15/8 27/14 2/1
1814 #Dorian mode of an Enharmonic genus found in Ptolemy's Harmonics 7
1815 ps-enh 56/55 16/15 4/3 3/2 84/55 8/5 2/1
1816 #Complex 7 of p. 115 based on Archytas's Enharmonic 7
1817 ps-hypod 9/8 45/32 81/56 3/2 14/9 8/5 2/1
1818 #Complex 7 of p. 115 based on Archytas's Enharmonic 7
1819 PS-HYPOD1 9/8 45/32 81/56 3/2 14/9 8/5 2/1
1820 #Complex 8 of p. 115 based on Archytas's Enharmonic 7
1821 PS-HYPOD2 9/8 7/6 6/5 3/2 15/8 27/14 2/1
1822 #Complex 3 of p. 115 based on Archytas's Enharmonic 7
1823 ps-mixol 28/27 16/15 4/3 5/3 12/7 16/9 2/1
1824 #Intense Diatonic Systonon 7
1825 ptolemy 9/8 5/4 4/3 3/2 5/3 15/8 2
1826 #Ptolemy's kithara tuning, mixture of Tonic Diatonic and Ditone Diatonic 7
1827 PTOLEMY_Aiolika 28/27 32/27 4/3 3/2 27/16 16/9 2/1
1828 #Ptolemy Soft Chromatic 7
1829 ptolemy_chrom 28/27 10/9 4/3 3/2 14/9 5/3 2/1
1830 #Ptolemy's Diatonon Ditoniaion 7
1831 ptolemy_ditonian 28/27 32/27 4/3 3/2 14/9 16/9 2
1832 #Dorian mode of a permutation of Ptolemy's Tonic Diatonic 7
1833 ptolemy_diat2 28/27 7/6 4/3 3/2 14/9 7/4 2/1
1834 #Dorian mode of the remaining permutation of Ptolemy's Intense Diatonic 7
1835 PTOLEMY_DIAT3 9/8 6/5 4/3 3/2 27/16 9/5 2/1
1836 #permuted Ptolemy's diatonic 7
1837 PTOLEMY_DIAT4 8/7 32/27 4/3 3/2 12/7 16/9 2/1
1838 #Dorian mode of Ptolemy's Intense Diatonic (Diatonon Syntonon) 7
1839 PTOLEMY_dor 16/15 6/5 4/3 3/2 8/5 9/5 2/1
1840 #Dorian mode of Ptolemy's Enharmonic 7
1841 PTOLEMY_enh 46/45 16/15 4/3 3/2 23/15 8/5 2/1
1842 #Dorian mode of Ptolemy's Equable Diatonic or Diatonon Homalon 7
1843 PTOLEMY_hom 12/11 6/5 4/3 3/2 18/11 9/5 2/1
1844 #Ptolemy's Iastia or Lydia tuning, mixture of Tonic Diatonic & Intense Diatonic 7
1845 ptolemy_iast 28/27 32/27 4/3 3/2 8/5 9/5 2/1
1846 #Dorian mode of Ptolemy's Intense Chromatic 7
1847 PTOLEMY_intchrom 22/21 8/7 4/3 3/2 11/7 12/7 2/1
1848 #Ptolemy's Malaka lyra tuning, a mixture of Intense Chrom. & Tonic Diatonic 7
1849 PTOLEMY_malak 22/21 8/7 4/3 3/2 14/9 16/9 2/1
1850 #Malaka lyra, mixture of his Soft Chromatic and Tonic Diatonic. 7
1851 PTOLEMY_MALAK2 28/27 10/9 4/3 3/2 14/9 16/9 2/1
1852 #Ptolemy soft diatonic 7
1853 ptolemy_maldiat 21/20 7/6 4/3 3/2 63/40 7/4 2/1
1854 #permuted Ptolemy soft diatonic 7
1855 PTOLEMY_MALDIAT2 10/9 7/6 4/3 3/2 5/3 7/4 2/1
1856 #permuted Ptolemy soft diatonic 7
1857 PTOLEMY_MALDIAT3 8/7 6/5 4/3 3/2 12/7 9/5 2/1
1858 #Metabolika lyra tuning, mixture of Soft Diatonic & Tonic Diatonic 7
1859 ptolemy_meta 21/20 7/6 4/3 3/2 14/9 16/9 2/1
1860 #5-limit 19-tone scale 19
1861 pure_19 25/24 135/128 16/15 9/8 75/64 6/5 5/4 4/3 27/20 45/32 3/2 25/16 8/5 5/3 27/16 225/128 9/5 15/8 2/1
1862 #Pure (just) C major, see Wilkinson: Tuning In 12
1863 PURMAJ 16/15 9/8 6/5 5/4 4/3 45/32 3/2 8/5 5/3 16/9 15/8 2/1
1864 #Pure (just) C minor, see Wilkinson: Tuning In 12
1865 purmin 25/24 10/9 6/5 5/4 4/3 45/32 3/2 8/5 5/3 16/9 15/8 2/1
1866 #This scale may also be called the "Wedding Cake" 12
1867 pyramid 9/8 75/64 5/4 4/3 45/32 3/2 25/16 5/3 27/16 16/9 15/8 2/1
1868 #Upside-Down Wedding Cake (divorce cake) 12
1869 pyramid_down 16/15 9/8 6/5 32/25 4/3 3/2 8/5 27/16 16/9 9/5 48/25 2/1
1870 #12-tone Pythagorean scale 12
1871 pyth_12 2187/2048 9/8 32/27 81/64 4/3 729/512 3/2 6561/4096 27/16 16/9 243/128 2/1
1872 #17-tone Pythagorean scale 17
1873 pyth_17 256/243 2187/2048 9/8 32/27 19683/16384 81/64 4/3 1024/729 729/512 3/2 128/81 6561/4096 27/16 16/9 59049/32768 243/128 2/1
1874 #Pythagorean shrutis 22
1875 pyth_22 256/243 2187/2048 65536/59049 9/8 32/27 19683/16384 8192/6561 81/64 4/3 177147/131072 1024/729 729/512 3/2 128/81 6561/4096 32768/19683 27/16 16/9 59049/32768 4096/2187 243/128 2/1
1876 #27-tone Pythagorean scale 27
1877 pyth_27 531441/524288 256/243 2187/2048 65536/59049 9/8 4782969/4194304 32/27 19683/16384 8192/6561 81/64 4/3 177147/131072 1024/729 729/512 262144/177147 3/2 1594323/1048576 128/81 6561/4096 32768/19683 27/16 14348907/8388608 16/9 59049/32768 4096/2187 243/128 2/1
1878 #31-tone Pythagorean scale 31
1879 pyth_31 128/125 135/128 27/25 1125/1024 9/8 144/125 75/64 6/5 625/512 5/4 32/25 675/512 27/20 5625/4096 45/32 36/25 375/256 3/2 192/125 25/16 8/5 3375/2048 27/16 216/125 225/128 9/5 1875/1024 15/8 48/25 125/64 2/1
1880 #Pythagorean diatonic scale 7
1881 pyth_7 256/243 32/27 4/3 3/2 128/81 16/9 2/1
1882 #Dorian mode of the so-called Pythagorean chromatic, recorded by Gaudentius 8
1883 pyth_chrom 256/243 9/8 4/3 3/2 128/81 27/16 16/9 2/1
1884 #Quasi-Equal 5-Tone in 24-tET, 5 5 4 5 5 steps 5
1885 quasi_5 250.000 500.000 700.000 950.000 2/1
1886 #Quasi-Equal Enneatonic, Each "tetrachord" has 125 + 125 + 125 + 125 9
1887 quasi_9 125.000 250.000 375.000 500.000 700.000 825.000 950.000 1075.000 2/1
1888 #Aristides Quintilianus' Chromatic genus 7
1889 quint_chrom 18/17 9/8 4/3 3/2 27/17 27/16 2/1
1890 #Medieval Arabic scale 7
1891 rahawi 65536/59049 8192/6561 4/3 262144/177147 128/81 16/9 2
1892 #A folk scale from Rajasthan, India 6
1893 raja_6 9/8 5/4 4/3 3/2 15/8 2
1894 #Rameau scale (1725) 12
1895 rameau 86.803 193.157 297.801 386.314 503.421 584.848 696.579 788.758 889.735 1006.843 1082.892 2
1896 #Ramis's Monochord 12
1897 ramis 135/128 10/9 32/27 5/4 4/3 45/32 3/2 8/5 5/3 16/9 15/8 2/1
1898 #Medieval arabic scale 7
1899 rast 9/8 8192/6561 4/3 3/2 32768/19683 16/9 2
1900 #Rast + Mohajira (Dudon) 4 + 3 + 3 Rast and 3 + 4 + 3 Mohajira tetrachords 7
1901 rast_moha 200.000 350.000 500.000 700.000 850.000 1050.000 2/1
1902 #Rationalized Schlesinger's Dorian Harmonia in the enharmonic genus 7
1903 rat_dorenh 44/43 22/21 11/8 11/7 8/5 44/27 2/1
1904 #1+1 rationalized enharmonic genus derived from K.S.'s 'Bastard' Hypodorian 7
1905 rat_hypodenh 32/31 16/15 4/3 16/11 64/43 32/21 2/1
1906 #1+2 rationalized enharmonic genus derived from K.S.'s 'Bastard' Hypodorian 7
1907 rat_hypodenh2 32/31 32/29 4/3 16/11 64/43 64/41 2/1
1908 #1+3 rationalized enharmonic genus derived from K.S.'s 'Bastard' Hypodorian 7
1909 rat_hypodenh3 32/31 8/7 4/3 16/11 64/43 8/5 2/1
1910 #1+1 rationalized hexachromatic/hexenharmonic genus derived from K.S.'Bastard' 7
1911 rat_hypodhex 48/47 24/23 4/3 16/11 96/65 3/2 2/1
1912 #1+2 rat. hexachromatic/hexenharmonic genus derived from K.S.'s 'Bastard' Hypodo 7
1913 RAT_HYPODHEX2 48/47 16/15 4/3 16/11 96/65 32/21 2/1
1914 #1+3 rat. hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' Hypodorian 7
1915 RAT_HYPODHEX3 48/47 12/11 4/3 16/11 96/65 48/31 2/1
1916 #1+4 rat. hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' Hypodorian 7
1917 RAT_HYPODHEX4 48/47 48/43 4/3 16/11 96/65 96/61 2/1
1918 #1+5 rat. hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' Hypodorian 7
1919 RAT_HYPODHEX5 48/47 8/7 4/3 16/11 96/65 8/5 2/1
1920 #2+3 rationalized hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' hypod 7
1921 RAT_HYPODHEX6 24/23 48/43 4/3 16/11 3/2 96/61 2/1
1922 #1+1 rationalized pentachromatic/pentenharmonic genus derived from K.S.'s 'Bastar 7
1923 RAT_HYPODpen 40/39 20/19 4/3 16/11 40/27 80/53 2/1
1924 #1+2 rationalized pentachromatic/pentenharmonic genus from K.S.'s 'Bastard' hyp 7
1925 RAT_HYPODPEN2 40/39 40/37 4/3 16/11 40/27 20/13 2/1
1926 #1+3 rationalized pentachromatic/pentenharmonic genus from 'Bastard' Hypodorian 7
1927 RAT_HYPODPEN3 40/39 10/9 4/3 16/11 40/27 80/51 2/1
1928 #1+4 rationalized pentachromatic/pentenharmonic genus from 'Bastard' Hypodorian 7
1929 RAT_HYPODPEN4 40/39 8/7 4/3 16/11 40/27 8/5 2/1
1930 #2+3 rationalized pentachromatic/pentenharmonic genus from 'Bastard' Hypodorian 7
1931 RAT_HYPODPEN5 20/19 10/9 4/3 16/11 80/53 80/51 2/1
1932 #2+3 rationalized pentachromatic/pentenharmonic genus from 'Bastard' Hypodorian 7
1933 RAT_HYPODPEN6 40/39 8/7 4/3 16/11 80/53 8/5 2/1
1934 #rationalized first (1+1) trichromatic genus derived from K.S.'s 'Bastard' hyp 7
1935 RAT_HYPODTRI 24/23 12/11 4/3 16/11 3/2 48/31 2/1
1936 #rationalized second (1+2) trichromatic genus derived from K.S.'s 'Bastard' hyp 7
1937 RAT_HYPODTRI2 24/23 8/7 4/3 16/11 3/2 8/5 2/1
1938 #Rationalized Schlesinger's Hypolydian Harmonia in the enharmonic genus 8
1939 rat_hypolenh 40/39 20/19 4/3 10/7 20/13 80/51 8/5 2/1
1940 #Rationalized Schlesinger's Hypophrygian Harmonia in the chromatic genus 7
1941 rat_hypopchrom 18/17 9/8 18/13 3/2 36/23 18/11 2/1
1942 #Rationalized Schlesinger's Hypophrygian Harmonia in the enharmonic genus 7
1943 rat_hypopenh 36/35 18/17 18/13 3/2 72/47 36/23 2/1
1944 #Rationalized Schlesinger's Hypophrygian Harmonia in the pentachromatic genus 7
1945 rat_hypoppen 45/43 9/8 18/13 3/2 45/29 18/11 2/1
1946 #Rationalized Schlesinger's Hypophrygian Harmonia in first trichromatic genus 7
1947 rat_hypoptri 27/26 27/25 18/13 3/2 54/35 27/17 2/1
1948 #Rationalized Schlesinger's Hypophrygian Harmonia in second trichromatic genus 7
1949 RAT_HYPOPTRI2 27/26 9/8 18/13 3/2 54/35 18/11 2/1
1950 #Redfield New Diatonic 7
1951 redfield 10/9 5/4 4/3 3/2 5/3 15/8 2/1
1952 #Reinhard 12
1953 reinhard 18/17 9/8 45/38 5/4 4/3 24/17 3/2 30/19 5/3 30/17 15/8 2/1
1954 #Dead Robot (see lattice) 12
1955 robot 25/24 16/15 9/8 75/64 6/5 5/4 4/3 45/32 3/2 5/3 15/8 2/1
1956 #Live Robot 12
1957 robot_live 9/8 6/5 5/4 32/25 4/3 36/25 3/2 8/5 128/75 15/8 48/25 2/1
1958 #Romieu 12
1959 romieu 25/24 9/8 6/5 5/4 4/3 45/32 3/2 25/16 5/3 16/9 15/8 2
1960 #Rousseau 12
1961 rousseau 25/24 9/8 6/5 5/4 4/3 25/18 3/2 8/5 5/3 125/72 15/8 2
1962 #RSR - 7 limit JI 12
1963 rsr 16/15 8/7 6/5 5/4 4/3 7/5 3/2 8/5 5/3 9/5 15/8 2/1
1964 #Safiyu-D-Din's Diatonic, also the strong form of Avicenna's 8/7 diatonic 7
1965 Safiyu_diat 19/18 7/6 4/3 3/2 19/12 7/4 2/1
1966 #Safiyu-D-Din #2 Diatonic, a 3/4 tone diatonic like Ptolemy's Equable Diatonic 7
1967 Safiyu_diat2 64/59 32/27 4/3 3/2 96/59 16/9 2/1
1968 #Singular Major (DF #6), from Safiyu-d-Din 6
1969 Safiyu_major 14/13 16/13 4/3 56/39 3/2 2/1
1970 #Tritonic temperament of Salinas 12
1971 salinas 88.594 196.741 304.888 393.482 501.629 45/32 698.371 786.965 895.112 1003.259 1091.853 2/1
1972 #Salinas's Enharmonic 7
1973 salinas_enh 25/24 16/15 4/3 3/2 25/16 8/5 2/1
1974 #Savas's Byzantine Liturgical mode, 8 + 12 + 10 parts 7
1975 savas_bardiat 133.333 333.333 500.000 700.000 833.333 1033.333 2/1
1976 #Savas's Byzantine Liturgical mode, 8 + 16 + 6 parts 7
1977 savas_barenh 133.333 400.000 500.000 700.000 833.333 1100.000 2/1
1978 #Savas's Chromatic, Byzantine Liturgical mode, 8 + 14 + 8 parts 7
1979 savas_chrom 133.333 366.667 500.000 700.000 833.333 1066.667 2/1
1980 #Savas's Diatonic, Byzantine Liturgical mode, 10 + 8 + 12 parts 7
1981 savas_diat 166.667 300.000 500.000 700.000 866.667 1000.000 2/1
1982 #Savas's Byzantine Liturgical mode, 6 + 20 + 4 parts 7
1983 savas_palace 100.000 433.333 500.000 700.000 800.000 1133.333 2/1
1984 #Schidlof 21
1985 schidlof 81/80 21/20 15/14 9/8 7/6 135/112 100/81 5/4 4/3 27/20 7/5 10/7 3/2 14/9 45/28 5/3 7/4 25/14 50/27 15/8 2/1
1986 #Scale with major thirds flat by a schisma 12
1987 schismic 2187/2048 9/8 19683/16384 8192/6561 4/3 1024/729 3/2 6561/4096 32768/19683 59049/32768 4096/2187 2/1
1988 #Simple Tune #1 Carter Scholz 8
1989 scholz 28/27 8/7 7/6 4/3 3/2 14/9 7/4 2/1
1990 #Scottish bagpipe tuning 7
1991 scotbag 10/9 5/4 15/11 40/27 5/3 11/6 2/1
1992 #Scottish bagpipe tuning 2 7
1993 scotbag2 10/9 11/9 4/3 3/2 18/11 9/5 2/1
1994 #Scottish bagpipe tuning 3 7
1995 scotbag3 9/8 5/4 11/8 3/2 27/16 11/6 2/1
1996 #Scottish Bagpipe Ellis/Land 7
1997 SCOTBAG4 197.000 341.000 495.000 703.000 853.000 1009.000 2/1
1998 #George Secor's well temperament with 5 pure 11/7 and 3 near just 11/6 17
1999 secor 66.7425 144.855 214.440 278.340 353.610 428.880 492.780 562.365 640.4775 707.220 771.120 849.2325 921.660 985.560 1057.9875 1136.10 2/1
2000 #Arabic SEGAH (Dudon) Two 4 + 3 + 3 tetrachords 7
2001 segah 200.000 350.000 500.000 700.000 900.000 1050.000 2/1
2002 #Persian SEGAH (Dudon) 4 + 3 + 3 and 3 + 4 + 3 degrees of 24-tet 7
2003 segah_pers 200.000 350.000 500.000 700.000 850.000 1050.000 2/1
2004 #Seikilos Tuning 12
2005 seikilos 28/27 9/8 7/6 9/7 4/3 49/36 3/2 14/9 27/16 7/4 27/14 2/1
2006 #Septimal Slendro 1, From HMSL Manual, also Lou Harrison, Jacques Dudon 5
2007 sept_slendro1 8/7 64/49 3/2 12/7 2/1
2008 #Septimal Slendro 2, From Lou Harrison, Jacques Dudon's APTOS 5
2009 SEPT_SLENDRO2 9/8 21/16 3/2 12/7 2/1
2010 #Septimal Slendro 3, Harrison, Dudon, called "MILLS" after Mills Gamelan 5
2011 SEPT_SLENDRO3 9/8 9/7 3/2 12/7 2/1
2012 #Septimal Slendro 4, from Lou Harrison, Jacques Dudon, called "NAT" 5
2013 SEPT_SLENDRO4 9/8 21/16 3/2 7/4 2/1
2014 #Septimal Slendro 5, from Jacques Dudon 5
2015 SEPT_SLENDRO5 7/6 21/16 49/32 343/192 2/1
2016 #A slendro type pentatonic which is based on intervals of 7; from Lou Harrison 5
2017 septro1 8/7 9/7 3/2 12/7 2
2018 #A slendro type pentatonic which is based on intervals of 7, no. 2 5
2019 septro2 7/6 4/3 3/2 7/4 2/1
2020 #A slendro type pentatonic which is based on intervals of 7, no. 4 5
2021 septro4 9/8 4/3 3/2 12/7 2/1
2022 #Dorian mode of the Serre's Enharmonic 7
2023 serre_enh 64/63 16/15 4/3 3/2 32/21 8/5 2/1
2024 #Subharm1C-ConMixolydian 7
2025 sharm1c-conm 7/6 28/23 14/11 14/9 28/17 7/4 2/1
2026 #Subharm1C-ConPhryg 7
2027 sharm1c-conp 6/5 24/19 4/3 8/5 12/7 24/13 2/1
2028 #Subharm1C-Dorian 8
2029 sharm1c-dor 11/9 22/17 11/8 22/15 11/7 11/6 23/11 2/1
2030 #Subharm1C-Lydian 8
2031 sharm1c-lyd 13/11 26/21 13/10 19/13 13/9 13/7 52/27 2/1
2032 #Subharm1C-Mixolydian 7
2033 sharm1c-mix 7/6 28/23 14/11 7/5 7/4 28/15 2/1
2034 #Subharm1C-Phrygian 7
2035 sharm1c-phr 6/5 24/19 4/3 3/2 24/13 48/25 2/1
2036 #Subharm1E-ConMixolydian 7
2037 SHARM1E-CONM 28/23 56/45 14/11 28/17 56/33 7/4 2/1
2038 #Subharm1E-ConPhrygian 7
2039 sharm1e-conp 24/19 48/37 4/3 12/7 16/9 24/13 2/1
2040 #Subharm1E-Dorian 8
2041 sharm1e-dor 22/17 4/3 11/8 22/15 11/7 44/23 88/45 2/1
2042 #Subharm1E-Lydian 8
2043 SHARM1E-lyd 26/21 52/41 13/10 19/13 13/9 52/27 104/53 2/1
2044 #Subharm1E-Mixolydian 7
2045 sharm1e-mix 28/23 56/45 14/11 7/5 28/15 56/29 2/1
2046 #Subharm1E-Phrygian 7
2047 sharm1e-phr 24/19 48/37 4/3 3/2 48/25 96/49 2/1
2048 #Subharm2C-15-Harmonia 7
2049 SHARM2C-15 5/4 30/23 15/11 3/2 30/17 15/8 2/1
2050 #SHarm2C-Hypodorian 8
2051 sharm2c-hypod 16/13 32/25 4/3 32/23 16/11 16/9 32/17 2/1
2052 #SHarm2C-Hypolydian 8
2053 SHarm2C-Hypol 20/17 5/4 4/3 10/7 20/13 20/11 40/21 2/1
2054 #SHarm2C-Hypophrygian 8
2055 SHarm2C-Hypop 9/7 4/3 18/13 36/25 3/2 9/5 36/19 2/1
2056 #Subharm2E-15-Harmonia 7
2057 sharm2e-15 30/23 4/3 15/11 3/2 15/8 60/31 2/1
2058 #SHarm2E-Hypodorian 8
2059 SHarm2E-Hypod 32/25 64/49 4/3 32/23 16/11 32/17 64/33 2/1
2060 #SHarm2E-Hypolydian 8
2061 SHarm2E-Hypol 5/4 40/31 4/3 10/7 20/13 40/21 80/41 2/1
2062 #SHarm2E-Hypophrygian 8
2063 SHarm2E-Hypop 4/3 72/53 18/13 36/25 3/2 36/19 72/37 2/1
2064 #Sheng scale on naturals starting on d, from Fortuna 12
2065 sheng 141/134 34/31 55/46 71/58 4/3 80/57 117/80 107/67 63/38 59/33 63/34 2/1
2066 #Sherwood's improved meantone temperament 12
2067 sherwood 114.420 194.501 308.921 389.002 503.422 583.503 697.923 812.342 892.424 1006.843 1086.925 1201.344
2068 #Siamese Tuning, after Clem Fortuna's Microtonal Guide 12
2069 siamese 49.800 172.000 215.000 344.000 515.000 564.800 685.800 735.800 857.800 914.800 1028.800 2/1
2070 #Simonton Integral Ratio Scale, see JASA: A new integral ratio scale 12
2071 simonton 17/16 9/8 19/16 5/4 4/3 17/12 3/2 19/12 5/3 16/9 17/9 2/1
2072 #Ezra Sims' 18-tone mode 18
2073 sims 25/24 13/12 9/8 7/6 29/24 5/4 21/16 11/8 23/16 3/2 25/16 13/8 27/16 7/4 29/16 15/8 31/16 2/1
2074 #Sims II 20
2075 sims2 33/32 17/16 35/32 9/8 37/32 19/16 39/32 5/4 21/16 11/8 23/16 3/2 25/16 13/8 27/16 7/4 29/16 15/8 31/16 2/1
2076 #An observed xylophone tuning from Singapore 7
2077 singapore 187.000 356.000 526.000 672.000 856.000 985.000 2
2078 #Pelog white, Slendro black 12
2079 SLEN_PEL 1/1 137.000 228.000 446.000 575.000 484.000 687.000 728.000 820.000 960.000 1098.000 2/1
2080 #16-tET Slendro and Pelog 12
2081 slen_pel16 1/1 150.000 150.000 225.000 300.000 450.000 675.000 675.000 750.000 825.000 900.000 2/1
2082 #23-tET Slendro and Pelog 12
2083 SLEN_PEL23 1/1 208.696 208.696 156.522 469.565 313.043 730.435 730.435 678.261 939.130 834.783 2/1
2084 #Slendro/JC PELOG S1c,P1c#,S2d,eb,P2e,S3f,P3f#,S4g,ab,P4a,S5bb,P5b 12
2085 SLEN_PEL_jc 1/1 8/7 8/7 16/15 64/49 4/3 3/2 3/2 3/2 12/7 8/5 2/1
2086 #Dan Schmidt (Pelog white, Slendro black) 12
2087 slen_pel_schmidt 1/1 9/8 7/6 5/4 4/3 11/8 3/2 3/2 7/4 7/4 15/8 2/1
2088 #Schmidt with 13,17,19,21,27 12
2089 slen_pel_schmidt2 17/16 9/8 19/16 5/4 21/16 11/8 3/2 13/8 27/16 7/4 15/8 2/1
2090 #Observed Javanese Slendro scale 5
2091 slendro 228.000 484.000 728.000 960.000 2
2092 #Dudon's Slendro A1 from "Seven-Limit Slendro Mutations," 1/1 8:2 Jan 1994 5
2093 slendro_a1 8/7 4/3 3/2 7/4 2/1
2094 #Dudon's Slendro A2 from "Seven-Limit Slendro Mutations," 1/1 8:2 Jan 1994 5
2095 slendro_a2 8/7 64/49 32/21 12/7 2/1
2096 #Dudon's Slendro M from "Seven-Limit Slendro Mutations," 1/1 8:2 Jan 1994 5
2097 slendro_m 8/7 4/3 3/2 12/7 2/1
2098 #Dudon's Slendro Matrix from "Seven-Limit Slendro Mutations," 1/1 8:2 Jan 1994 12
2099 slendro_mat 1/1 8/7 8/7 64/49 21/16 4/3 3/2 32/21 12/7 256/147 7/4 2/1
2100 #Dudon's Slendro S1 from "Seven-Limit Slendro Mutations," 1/1 8:2 Jan 1994 5
2101 slendro_s1 8/7 4/3 32/21 7/4 2/1
2102 #Dudon's Slendro S2 5
2103 slendro_s2 8/7 64/49 32/21 256/147 2/1
2104 #Slendro Udan Mas (approx) 5
2105 slendro_udan 7/6 47/35 20/13 16/9 2/1
2106 #From Lou Harrison, a soft diatonic 7
2107 softdiat 21/20 6/5 4/3 3/2 63/40 9/5 2
2108 #New Soft Diatonic genus with equally divided Pyknon; Dorian Mode; 1:1 pyknon 7
2109 SOFTDIAT2 125.000 375.000 500.000 700.000 825.000 1075.000 2/1
2110 #Solemn 6 6
2111 solemn 6/5 4/3 3/2 8/5 9/5 2/1
2112 #Songlines.DEM, Bill Thibault and Scott Gresham-Lancaster. 1992 ICMC 12
2113 songlines 7/6 6/5 5/4 4/3 7/5 3/2 8/5 5/3 7/4 9/5 11/6 2/1
2114 #This is a subharmonic six-tone series, notated as a whole-tone scale. 6
2115 spondeion 11/10 11/9 11/8 11/7 11/6 2/1
2116 #Tonality square with generators 1 3 5 7 13
2117 square 8/7 7/6 6/5 5/4 4/3 7/5 10/7 3/2 8/5 5/3 12/7 7/4 2/1
2118 #Well temperament of Charles, third earl of Stanhope, 1806 12
2119 stanhope 91.202 196.741 295.112 5/4 4/3 589.247 3/2 793.157 891.527 16/9 15/8 2
2120 #Stellated Eikosany 3 out of 1 3 5 7 9 11 70
2121 steleiko 385/384 49/48 45/44 33/32 25/24 135/128 77/72 693/640 35/32 847/768 495/448 9/8 1155/1024 55/48 147/128 297/256 7/6 75/64 105/88 77/64 315/256 99/80 5/4 121/96 81/64 245/192 165/128 21/16 385/288 693/512 11/8 539/384 45/32 363/256 63/44 275/192 231/160 35/24 165/112 189/128 3/2 385/256 55/36 49/32 99/64 25/16 63/40 605/384 35/22 77/48 45/28 105/64 5/3 27/16 55/32 7/4 99/56 385/216 315/176 231/128 175/96 11/6 15/8 121/64 77/40 495/256 35/18 55/28 63/32 2/1
2122 #Stellated two out of 1 3 5 7 hexany, also dekatesserany, mandala, tetradekany 14
2123 STELHEX1 21/20 15/14 35/32 9/8 5/4 21/16 35/24 3/2 49/32 25/16 105/64 7/4 15/8 2/1
2124 #Stellated two out of 1 3 5 9 hexany 12
2125 stelhex2 135/128 9/8 5/4 81/64 27/20 45/32 3/2 25/16 5/3 27/16 15/8 2/1
2126 #Stellated Tetrachordal Hexany based on Archytas's Enharmonic 14
2127 stelhex3 28/27 16/15 784/729 448/405 256/225 35/27 4/3 48/35 112/81 64/45 1792/1215 224/135 16/9 2/1
2128 #Stellated Tetrachordal Hexany based on the 1/1 35/36 16/15 4/3 tetrachord 14
2129 STELHEX4 36/35 1296/1225 16/15 192/175 256/225 9/7 4/3 48/35 112/81 64/45 256/175 288/175 16/9 2/1
2130 #Stockhausen's 25-note ET scale 25
2131 stockhausen 111.453 222.905 334.358 445.810 557.263 668.715 780.168 891.620 1003.073 1114.526 1225.978 1337.431 1448.883 1560.336 1671.788 1783.241 1894.694 2006.146 2117.600 2229.052 2340.505 2451.957 2563.410 2674.862 5
2132 #Tom Stone's Guitar Scale 16
2133 stone 17/16 9/8 19/16 5/4 21/16 11/8 23/16 3/2 25/16 13/8 27/16 7/4 29/16 15/8 31/16 2/1
2134 #Tuning used in John Chowning's STRIA, 9th root of Phi 9
2135 stria 92.566 185.131 277.697 370.262 462.828 555.394 647.959 740.525 833.090
2136 #Subharmonics 24-1 24
2137 sub24 1/24 1/23 1/22 1/21 1/20 1/19 1/18 1/17 1/16 1/15 1/14 1/13 1/12 1/11 1/10 1/9 1/8 1/7 1/6 1/5 1/4 1/3 1/2 1/1
2138 #sub 40-20 12
2139 sub40 20/19 10/9 20/17 5/4 4/3 10/7 20/13 8/5 5/3 20/11 40/21 2/1
2140 #12 of sub 48 (Leven) 12
2141 SUB48 16/15 8/7 6/5 24/19 4/3 24/17 3/2 8/5 12/7 16/9 48/25 2/1
2142 #12 of sub 50 12
2143 sub50 25/24 10/9 25/21 5/4 25/19 10/7 25/17 25/16 5/3 25/14 50/27 2/1
2144 #Subharmonic series 1/16 - 1/8 8
2145 sub8 16/15 8/7 16/13 4/3 16/11 8/5 16/9 2/1
2146 #Surupan Melog.S&P? 12
2147 surupan 1/1 270.000 270.000 150.000 540.000 270.000 690.000 720.000 690.000 960.000 810.000 2/1
2148 #Tau-on-Side 12
2149 t-side 25/24 16/15 9/8 5/4 4/3 45/32 3/2 25/16 8/5 5/3 15/8 2/1
2150 #Sub-40 tanbur scale 12
2151 tanbur 40/39 20/19 40/37 10/9 8/7 320/273 160/133 320/259 80/63 64/49 160/119 2/1
2152 #TEMES'S 5-TONE PHI SCALE/2cycle 10
2153 temes 273.000 366.910 466.181 560.090 833.090 1100.729 2/1 1299.271 1393.181 1666.181
2154 #One modern guess at the scale of the ancient greek poet Terpander, 6th c BC 6
2155 terpander 11/10 11/9 11/8 11/7 11/6 2
2156 #Tetragam Dia2 12
2157 tetragam-di 16/15 10/9 10/9 5/4 4/3 64/45 3/2 8/5 5/3 5/3 7/4 2/1
2158 #Tetragam Enharm. 12
2159 tetragam-en 28/27 16/15 16/15 5/4 4/3 7/5 3/2 14/9 8/5 8/5 7/4 2/1
2160 #Tetragam/Hexgam 12
2161 tetragam-hex 28/27 9/8 7/6 5/4 21/16 35/24 3/2 14/9 5/3 7/4 15/8 2/1
2162 #Tetragam Pyth. 12
2163 tetragam-py 256/243 9/8 9/8 81/64 4/3 729/512 3/2 128/81 27/16 27/16 16/9 2/1
2164 #Tetragam Slendro as 5-tET, Pelog-like pitches on C# E F# A B 12
2165 tetragam-slpe 1/1 240.000 240.000 16/15 480.000 4/3 720.000 960.000 3/2 960.000 8/5 2/1
2166 #Tetragam Slendro as 5-tET, Pelog-like pitches on C# E F# A B 12
2167 tetragam-slpe2 1/1 240.000 240.000 156.000 480.000 312.000 720.000 720.000 678.000 960.000 834.000 2/1
2168 #Tetragam Septimal 12
2169 tetragam-sp 28/27 28/27 28/27 9/7 4/3 7/5 3/2 14/9 14/9 14/9 7/4 2/1
2170 #Tetragam Undecimal 12
2171 tetragam-un 33/32 12/11 12/11 11/9 4/3 11/8 3/2 99/64 18/11 18/11 11/6 2/1
2172 #Tetragam (13-tET) 12
2173 tetragam13 92.308 276.923 276.923 461.538 461.538 738.462 738.462 923.077 923.077 923.077 1107.692 2/1
2174 #Tetragam (5-tET) 12
2175 tetragam5 240.000 240.000 240.000 240.000 480.000 480.000 720.000 960.000 960.000 960.000 960.000 2/1
2176 #Tetragam (6-tET) 12
2177 tetragam6 240.000 200.000 200.000 400.000 400.000 600.000 600.000 800.000 800.000 800.000 960.000 2/1
2178 #Tetragam (7-tET) 12
2179 tetragam7 171.429 171.429 171.429 342.857 514.286 514.286 685.714 857.143 857.143 857.143 1028.571 2/1
2180 #Tetragam (8-tET) 12
2181 TETRAGAM8 150.000 300.000 300.000 450.000 450.000 750.000 750.000 900.000 900.000 900.000 900.000 2/1
2182 #Tetragam (9-tET) A 12
2183 tetragam9a 133.333 266.667 266.667 400.000 533.333 800.000 800.000 933.333 933.333 933.333 1066.667 2/1
2184 #Tetragam (9-tET) B 12
2185 tetragam9b 133.333 133.333 133.333 266.667 266.667 666.667 666.667 800.000 800.000 800.000 933.333 2/1
2186 #31-tone Tetraphonic Cycle, conjunctive form on 5/4, 6/5, 7/6 and 8/7 31
2187 tetraphonic_31 50/49 25/24 50/47 25/23 10/9 25/22 50/43 25/21 50/41 5/4 60/47 30/23 4/3 15/11 60/43 10/7 60/41 3/2 49/32 147/94 147/92 49/30 147/88 147/86 7/4 84/47 42/23 28/15 21/11 84/43 2/1
2188 #Observed scale from Thailand 7
2189 thai 129.000 277.000 508.000 726.000 771.000 1029.000 2
2190 #Chinese flute scale 7
2191 ti-tsu 178.000 339.000 448.000 662.000 888.000 1103.000 1196.000
2192 #Tiby's 1st Byzantine Liturgical genus, 12 + 13 + 3 parts 7
2193 tiby1 211.765 441.176 494.118 705.882 917.647 1147.059 2/1
2194 #Tiby's second Byzantine Liturgical genus, 12 + 5 + 11 parts 7
2195 tiby2 211.765 300.000 494.118 705.882 917.647 1005.882 2/1
2196 #Tiby's third Byzantine Liturgical genus, 12 + 9 + 7 parts 7
2197 tiby3 211.765 370.588 494.118 705.882 917.647 1076.471 2/1
2198 #Tiby's fourth Byzantine Liturgical genus, 9 + 12 + 7 parts 7
2199 tiby4 158.824 370.588 494.118 705.882 864.706 1076.471 2/1
2200 #Diatonic Perfect Immutable System in the new Tonos-15 15
2201 tonos15_pis 11/10 11/9 11/8 22/15 22/13 11/6 2/1 44/21 11/5 22/9 11/4 44/15 44/13 11/3 4/1
2202 #Diatonic Perfect Immutable System in the new Tonos-17 15
2203 tonos17_pis 12/11 6/5 4/3 24/17 8/5 24/13 2/1 48/23 24/11 12/5 8/3 48/17 3/1 24/7 4/1
2204 #Diatonic Perfect Immutable System in the new Tonos-19 15
2205 tonos19_pis 14/13 7/6 14/11 28/19 14/9 7/4 2/1 56/27 28/13 7/3 28/11 56/19 28/9 7/2 4/1
2206 #Diatonic Perfect Immutable System in the new Tonos-21 15
2207 tonos21_pis 8/7 16/13 4/3 32/21 32/19 16/9 2/1 32/15 16/7 32/13 8/3 64/21 64/19 32/9 4/1
2208 #Diatonic Perfect Immutable System in the new Tonos-23 15
2209 tonos23_pis 9/8 9/7 18/13 36/23 12/7 9/5 2/1 36/17 9/4 18/7 36/13 72/23 24/7 18/5 4/1
2210 #Diatonic Perfect Immutable System in the new Tonos-25 15
2211 tonos25_pis 9/8 9/7 18/13 36/25 18/11 9/5 2/1 36/17 9/4 18/7 36/13 72/25 36/11 18/5 4/1
2212 #Diatonic Perfect Immutable System in the new Tonos-27 15
2213 tonos27_pis 10/9 5/4 10/7 40/27 5/3 40/21 2/1 40/19 20/9 5/2 20/7 80/27 10/3 80/21 4/1
2214 #Diatonic Perfect Immutable System in the new Tonos-29 15
2215 tonos29_pis 11/10 11/9 11/8 44/29 22/13 11/6 2/1 44/21 11/5 22/9 11/4 88/29 44/13 11/3 4/1
2216 #Diatonic Perfect Immutable System in the new Tonos-31 15
2217 tonos31_pis 23/22 23/20 23/18 46/31 23/14 23/13 23/12 2/1 23/11 23/10 23/9 92/31 23/7 46/13 4/1
2218 #Diatonic Perfect Immutable System in the new Tonos-31B 15
2219 tonos31_pis2 12/11 6/5 4/3 48/31 12/7 24/13 2/1 48/23 24/11 12/5 8/3 96/31 24/7 48/13 4/1
2220 #Diatonic Perfect Immutable System in the new Tonos-33 15
2221 tonos33_pis 12/11 6/5 4/3 16/11 8/5 16/9 2/1 48/23 24/11 12/5 8/3 32/11 16/5 32/9 4/1
2222 #Bac Dan Tranh scale 5
2223 tranh 10/9 4/3 3/2 5/3 2/1
2224 #Dan Ca Dan Tranh Scale 5
2225 tranh2 10/9 20/17 3/2 5/3 2/1
2226 #Sa Mac Dan Tranh scale 6
2227 tranh3 17/14 4/3 3/2 38/21 51/28 2/1
2228 #12-tone Tritriadic of 7:9:11 12
2229 TRI12-1 99/98 81/77 11/9 121/98 14/11 9/7 14/9 11/7 18/11 81/49 121/63 2/1
2230 #3:5:7 Tritriadic 19-Tone Matrix 19
2231 tri19-1 50/49 36/35 7/6 25/21 6/5 60/49 49/36 25/18 7/5 10/7 36/25 72/49 49/30 5/3 42/25 12/7 35/18 49/25 2/1
2232 #3:5:9 Tritriadic 19-Tone Matrix 19
2233 tri19-2 27/25 10/9 9/8 6/5 100/81 5/4 4/3 27/20 25/18 36/25 40/27 3/2 8/5 81/50 5/3 16/9 9/5 50/27 2/1
2234 #4:5:6 Tritriadic 19-Tone Matrix 19
2235 tri19-3 25/24 16/15 10/9 9/8 6/5 5/4 32/25 4/3 25/18 36/25 3/2 25/16 8/5 5/3 16/9 9/5 15/8 48/25 2/1
2236 #4:5:9 Tritriadic 19-Tone Matrix 19
2237 tri19-4 81/80 10/9 9/8 100/81 5/4 81/64 32/25 25/18 45/32 64/45 36/25 25/16 128/81 8/5 81/50 16/9 9/5 160/81 2/1
2238 #5:7:9 Tritriadic 19-Tone Matrix 19
2239 tri19-5 50/49 49/45 10/9 81/70 98/81 100/81 63/50 9/7 7/5 10/7 14/9 100/63 81/50 81/49 140/81 9/5 90/49 49/25 2/1
2240 #6:7:8 Tritriadic 19-Tone Matrix 19
2241 tri19-6 49/48 9/8 8/7 7/6 9/7 64/49 21/16 4/3 49/36 72/49 3/2 32/21 49/32 14/9 12/7 7/4 16/9 96/49 2/1
2242 #6:7:9 Tritriadic 19-Tone Matrix 19
2243 tri19-7 28/27 54/49 9/8 8/7 7/6 98/81 9/7 4/3 49/36 72/49 3/2 14/9 81/49 12/7 7/4 16/9 49/27 27/14 2/1
2244 #7:9:11 Tritriadic 19-Tone Matrix 19
2245 TRI19-8 99/98 126/121 81/77 98/81 11/9 121/98 14/11 9/7 162/121 121/81 14/9 11/7 196/121 18/11 81/49 154/81 121/63 196/99 2/1
2246 #4:5:7 Tritriadic 19-Tone Matrix 19
2247 tri19-9 50/49 35/32 28/25 8/7 49/40 5/4 32/25 64/49 7/5 10/7 49/32 25/16 8/5 80/49 7/4 25/14 64/35 49/25 2/1
2248 #12-tone Triaphonic Cycle, conjunctive form on 4/3, 5/4 and 6/5 12
2249 triaphonic_12 20/19 10/9 20/17 5/4 4/3 80/57 40/27 80/51 5/3 30/17 15/8 2/1
2250 #17-tone Triaphonic Cycle, conjunctive form on 4/3, 7/6 and 9/7 17
2251 triaphonic_17 28/27 14/13 28/25 7/6 28/23 14/11 4/3 112/81 56/39 112/75 14/9 21/13 42/25 7/4 42/23 21/11 2/1
2252 #Trichordal Undecatonic 11
2253 trichord 9/8 7/6 5/4 21/16 4/3 3/2 5/3 27/16 7/4 15/8 2/1
2254 #Sub-(6-7-8) Tritriadic 7
2255 trisub1 8/7 4/3 3/2 32/21 12/7 16/9 2/1
2256 #Tritriadic scale of the 10:12:15 triad, natural minor mode 7
2257 TRITRIAD 9/8 6/5 4/3 3/2 8/5 9/5 2/1
2258 #Tritriadic scale of the 10:14:15 triad 7
2259 TRITRIAD10 21/20 9/8 4/3 7/5 3/2 28/15 2/1
2260 #Tritriadic scale of the 11:13:15 triad 7
2261 TRITRIAD11 13/11 15/11 22/15 195/121 26/15 225/121 2/1
2262 #Tritriadic scale of the 10:13:15 triad 7
2263 tritriad13 9/8 13/10 4/3 3/2 26/15 39/20 2/1
2264 #14.18.21 Tritriadic. Primary triads 1/1 9/7 3/2, secondary are 1/1 7/6 3/2 7
2265 TRITRIAD14 9/8 9/7 4/3 3/2 12/7 27/14 2/1
2266 #Tritriadic scale of the 18:22:27 triad 7
2267 TRITRIAD18 9/8 11/9 4/3 3/2 44/27 11/6 2/1
2268 #Tritriadic scale of the 22:27:33 triad 7
2269 TRITRIAD22 9/8 27/22 4/3 3/2 18/11 81/44 2/1
2270 #Tritriadic scale of the 26:30:39 triad 7
2271 TRITRIAD26 9/8 15/13 4/3 3/2 20/13 45/26 2/1
2272 #Tritriadic scale of the 26:32:39 triad 7
2273 TRITRIAD32 9/8 16/13 4/3 3/2 64/39 24/13 2/1
2274 #Tritriadic scale of the 54:64:81 triad 7
2275 TRITRIAD54 9/8 32/27 4/3 3/2 128/81 16/9 2/1
2276 #Tritriadic scale of the 6:7:9 triad 7
2277 TRITRIAD6 9/8 7/6 4/3 3/2 14/9 7/4 2/1
2278 #Tritriadic scale of the 64:81:96 triad 7
2279 TRITRIAD64 9/8 81/64 4/3 3/2 27/16 243/128 2/1
2280 #Tritriadic scale of the 7:9:11 triad 7
2281 TRITRIAD7 99/98 121/98 14/11 9/7 11/7 18/11 2/1
2282 #Tritriadic scale of the 9:11:13 triad 7
2283 tritriad9 169/162 11/9 18/13 13/9 22/13 143/81 2/1
2284 #TT456DTDMT 12
2285 TT456DTDMT 25/24 9/8 6/5 5/4 4/3 25/16 3/2 8/5 5/3 9/5 15/8 2/1
2286 #TT679DTDMMT 12
2287 TT679DTDMMT 9/8 7/6 9/7 4/3 49/36 3/2 14/9 12/7 7/4 49/27 27/14 2/1
2288 #Turkish Scale, 5-limit From Palmer on an album of Turkish music 7
2289 turkish 16/15 5/4 4/3 3/2 5/3 16/9 2/1
2290 #Ur-Partch curved keyboard, published in Interval 39
2291 ur-partch 49/48 33/32 22/21 16/15 12/11 10/9 9/8 8/7 7/6 6/5 11/9 5/4 14/11 9/7 21/16 4/3 15/11 11/8 7/5 10/7 16/11 22/15 3/2 32/21 14/9 11/7 8/5 18/11 5/3 12/7 7/4 16/9 9/5 11/6 15/8 21/11 64/33 96/49 2/1
2292 #Ur-Temes's 5-tone phi scale 5
2293 ur-temes 273.000 366.910 466.181 560.090 833.090
2294 #A vertex tetrachord from Chapter 5, 66.7 + 266.7 + 166.7 7
2295 vertex_chrom 66.667 333.333 500.000 700.000 766.667 933.333 2/1
2296 #A vertex tetrachord from Chapter 5, 83.3 + 283.3 + 133.3 7
2297 vertex_chrom2 83.333 366.667 500.000 700.000 783.333 1066.667 2/1
2298 #A vertex tetrachord from Chapter 5, 87.5 + 287.5 + 125 7
2299 vertex_chrom3 87.500 375.000 500.000 700.000 787.500 1075.000 2/1
2300 #A vertex tetrachord from Chapter 5, 88.9 + 288.9 + 122.2 7
2301 VERTEX_CHROM4 88.900 377.800 500.000 700.000 788.900 1077.800 2/1
2302 #A vertex tetrachord from Chapter 5, 133.3 + 266.7 + 100 7
2303 vertex_chrom5 133.333 400.000 500.000 700.000 833.333 1100.000 2/1
2304 #A vertex tetrachord from Chapter 5, 233.3 + 133.3 + 133.3 7
2305 vertex_diat 233.333 366.667 500.000 700.000 933.333 1066.667 2/1
2306 #A vertex tetrachord from Chapter 5, 212.5 + 162.5 + 125 7
2307 vertex_diat10 212.500 375.000 500.000 700.000 912.500 1075.000 2/1
2308 #A vertex tetrachord from Chapter 5, 212.5 + 62.5 + 225 7
2309 VERTEX_DIAT11 212.500 275.000 500.000 700.000 912.500 975.000 2/1
2310 #A vertex tetrachord from Chapter 5, 200 + 125 + 175 7
2311 vertex_diat12 200.000 325.000 500.000 700.000 900.000 1025.000 2/1
2312 #A vertex tetrachord from Chapter 5, 233.3 + 166.7 + 100 7
2313 vertex_diat2 233.333 400.000 500.000 700.000 933.333 1100.000 2/1
2314 #A vertex tetrachord from Chapter 5, 75 + 225 + 200 7
2315 vertex_diat3 75.000 300.000 500.000 700.000 775.000 1000.000 2/1
2316 #A vertex tetrachord from Chapter 5, 225 + 175 + 100 7
2317 vertex_diat4 225.000 400.000 500.000 700.000 925.000 1100.000 2/1
2318 #A vertex tetrachord from Chapter 5, 87.5 + 237.5 + 175 7
2319 vertex_diat5 87.500 325.000 500.000 700.000 787.500 1025.000 2/1
2320 #A vertex tetrachord from Chapter 5, 200 + 75 + 225 7
2321 vertex_diat7 200.000 275.000 500.000 700.000 900.000 975.000 2/1
2322 #A vertex tetrachord from Chapter 5, 100 + 175 + 225 7
2323 vertex_diat8 100.000 275.000 500.000 700.000 800.000 975.000 2/1
2324 #A vertex tetrachord from Chapter 5, 212.5 + 137.5 + 150 7
2325 vertex_diat9 212.500 350.000 500.000 700.000 912.500 1050.000 2/1
2326 #A vertex tetrachord from Chapter 5, 87.5 + 187.5 + 225 7
2327 vertex_sdiat 87.500 275.000 500.000 700.000 787.500 975.000 2/1
2328 #A vertex tetrachord from Chapter 5, 75 + 175 + 250 7
2329 vertex_sdiat2 75.000 250.000 500.000 700.000 775.000 950.000 2/1
2330 #A vertex tetrachord from Chapter 5, 25 + 225 + 250 7
2331 vertex_sdiat3 25.000 250.000 500.000 700.000 725.000 950.000 2/1
2332 #A vertex tetrachord from Chapter 5, 66.7 + 183.3 + 250 7
2333 vertex_sdiat4 66.667 250.000 500.000 700.000 766.667 950.000 2/1
2334 #A vertex tetrachord from Chapter 5, 233.33 + 16.67 + 250 7
2335 vertex_sdiat5 233.333 250.000 500.000 700.000 933.333 950.000 2/1
2336 #Vogel's 21-tone Archytas system, see Divisions of the tetrachord 21
2337 vogel 28/27 16/15 9/8 7/6 32/27 6/5 896/729 512/405 4/3 112/81 64/45 3/2 14/9 128/81 8/5 3584/2187 2048/1215 16/9 448/243 256/135 2/1
2338 #African scale according to Volans 0=G 7
2339 volans 171.000 360.000 514.000 685.000 860.000 1060.000 2/1
2340 #Vong Co Dan Tranh scale 7
2341 vong 11/10 36/29 27/20 3/2 33/20 51/28 2/1
2342 #Andreas Werckmeister's scale 12
2343 werck 256/243 192.465 32/27 389.652 4/3 1024/729 695.801 128/81 888.266 16/9 1091.607 2/1
2344 #Andreas Werckmeister's temperament (1681) 12
2345 werckmeister 256/243 192.180 32/27 390.225 4/3 588.270 696.090 128/81 888.270 16/9 1092.180 2/1
2346 #Wilson 19-tone 19
2347 wilson 21/20 35/32 9/8 7/6 6/5 5/4 21/16 4/3 7/5 35/24 3/2 63/40 105/64 27/16 7/4 9/5 15/8 63/32 2/1
2348 #Wilson's 22-tone 5-limit scale 22
2349 wilson5 25/24 16/15 10/9 9/8 75/64 6/5 5/4 32/25 4/3 27/20 45/32 36/25 3/2 25/16 8/5 5/3 27/16 225/128 9/5 15/8 48/25 2/1
2350 #Wilson's 22-tone 7-limit 'marimba' scale 22
2351 wilson7 28/27 16/15 10/9 9/8 7/6 6/5 5/4 35/27 4/3 27/20 45/32 35/24 3/2 14/9 8/5 5/3 27/16 7/4 9/5 15/8 35/18 2/1
2352 #Wilson 7-limit scale 22
2353 wilson7_2 126/125 21/20 35/32 9/8 7/6 6/5 5/4 63/50 21/16 27/20 7/5 36/25 3/2 25/16 63/40 5/3 42/25 7/4 9/5 15/8 189/100 2/1
2354 #Wilson 7-limit scale 22
2355 wilson7_3 128/125 16/15 10/9 9/8 32/27 6/5 5/4 32/25 4/3 27/20 64/45 36/25 3/2 25/16 8/5 5/3 128/75 16/9 9/5 15/8 48/25 2/1
2356 #Wilson Diaphonic cycles, tetrachordal form 22
2357 wilson_dia1 36/35 18/17 12/11 9/8 36/31 6/5 36/29 9/7 4/3 18/13 27/19 54/37 3/2 54/35 27/17 18/11 27/16 54/31 9/5 54/29 27/14 2/1
2358 #Wilson Diaphonic cycle, conjunctive form 22
2359 WILSON_DIA2 39/38 39/37 13/12 39/35 39/34 13/11 39/32 39/31 13/10 39/29 39/28 13/9 52/35 26/17 52/33 13/8 52/31 26/15 52/29 13/7 52/27 2/1
2360 #Wilson Diaphonic cycle on 3/2 22
2361 WILSON_DIA3 39/38 39/37 13/12 39/35 39/34 13/11 39/32 39/31 13/10 39/29 39/28 13/9 3/2 54/35 27/17 18/11 27/16 54/31 9/5 54/29 27/14 2/1
2362 #Wilson Diaphonic cycle on 4/3 22
2363 WILSON_DIA4 36/35 18/17 12/11 9/8 36/31 6/5 36/29 9/7 4/3 26/19 54/37 13/9 52/35 26/17 52/33 13/8 52/31 26/15 52/29 13/7 52/27 2/1
2364 #Wilson 'duovigene' 22
2365 wilson_duo 28/27 16/15 35/32 9/8 7/6 6/5 5/4 35/27 4/3 112/81 45/32 35/24 3/2 14/9 8/5 5/3 27/16 7/4 9/5 15/8 35/18 2/1
2366 #Wilson's Enharmonic & 3rd new Enharmonic on Hofmann's list of superp. 4chords 7
2367 wilson_enh 96/95 16/15 4/3 3/2 144/95 8/5 2/1
2368 #Wilson's 81/64 Enharmonic, a strong division of the 256/243 pyknon 7
2369 wilson_enh2 64/63 256/243 4/3 3/2 32/21 128/81 2/1
2370 #Wilson study in 'conjunct facets', Hexany based 22
2371 wilson_facet 28/27 21/20 10/9 9/8 7/6 6/5 5/4 35/27 4/3 27/20 7/5 40/27 3/2 14/9 63/40 5/3 140/81 7/4 9/5 28/15 35/18 2/1
2372 #Wilson's Helix Song, see David Rosenthal, Helix Song, XH 7&8, 1979 12
2373 wilson_helix 13/12 9/8 7/6 5/4 4/3 11/8 3/2 13/8 5/3 7/4 11/6 2/1
2374 #Wilson's Hyperenharmonic, this genus has a CI of 9/7 7
2375 wilson_hypenh 56/55 28/27 4/3 3/2 84/55 14/9 2/1
2376 #Wilson 11-limit scale 22
2377 wilson_l1 33/32 21/20 35/32 9/8 7/6 77/64 5/4 165/128 21/16 11/8 7/5 231/160 3/2 99/64 77/48 33/20 55/32 7/4 231/128 15/8 77/40 2/1
2378 #Wilson 11-limit scale 22
2379 wilson_l2 49/48 77/72 11/10 9/8 7/6 77/64 5/4 77/60 4/3 11/8 77/54 35/24 3/2 11/7 77/48 5/3 77/45 7/4 11/6 15/8 77/40 2/1
2380 #Wilson 11-limit scale 22
2381 wilson_l3 33/32 21/20 35/32 9/8 7/6 6/5 5/4 14/11 21/16 11/8 7/5 35/24 3/2 14/9 8/5 105/64 27/16 7/4 9/5 15/8 21/11 2/1
2382 #Wilson 11-limit scale 22
2383 wilson_l4 49/48 21/20 10/9 8/7 7/6 6/5 5/4 35/27 4/3 49/36 7/5 35/24 3/2 14/9 8/5 5/3 12/7 7/4 9/5 28/15 35/18 2/1
2384 #Wilson 11-limit scale 22
2385 wilson_l5 49/48 77/72 12/11 8/7 7/6 6/5 5/4 14/11 4/3 49/36 7/5 35/24 3/2 14/9 8/5 5/3 12/7 7/4 11/6 28/15 35/18 2/1
2386 #Winnington-Ingram's Spondeion 5
2387 winnington 12/11 4/3 3/2 18/11 2/1
2388 #Wuerschmidt's normalised 12-tone system 12
2389 wurschmidt 135/128 9/8 6/5 81/64 27/20 45/32 3/2 405/256 27/16 9/5 15/8 2/1
2390 #Wuerschmidt's 31-tone system 31
2391 WURSCHMIDT_31 128/125 25/24 16/15 1125/1024 9/8 144/125 75/64 6/5 625/512 5/4 32/25 125/96 4/3 512/375 25/18 36/25 375/256 3/2 192/125 25/16 8/5 1024/625 5/3 128/75 125/72 16/9 2048/1125 15/8 48/25 125/64 2/1
2392 #Wuerschmidt's 31-tone system with alternative tritone 31
2393 WURSCHMIDT_31a 128/125 25/24 16/15 1125/1024 9/8 144/125 75/64 6/5 625/512 5/4 32/25 125/96 4/3 512/375 25/18 64/45 375/256 3/2 192/125 25/16 8/5 1024/625 5/3 128/75 125/72 16/9 2048/1125 15/8 48/25 125/64 2/1
2394 #Wuerschmidt's 53-tone system 53
2395 wurschmidt_53 81/80 128/125 25/24 135/128 16/15 27/25 1125/1024 10/9 9/8 256/225 144/125 75/64 32/27 6/5 625/512 768/625 5/4 81/64 32/25 125/96 675/512 4/3 27/20 512/375 25/18 45/32 64/45 36/25 375/256 40/27 3/2 1024/675 192/125 25/16 128/81 8/5 625/384 1024/625 5/3 27/16 128/75 125/72 225/128 16/9 9/5 2048/1125 50/27 15/8 256/135 48/25 125/64 160/81 2/1
2396 #Xenakis's Byzantine Liturgical mode, 5 + 19 + 6 parts 7
2397 xenakis_chrom 83.333 400.000 500.000 700.000 783.333 1100.000 2/1
2398 #Xenakis's Byzantine Liturgical mode, 12 + 11 + 7 parts 7
2399 xenakis_diat 200.000 383.333 500.000 700.000 900.000 1083.333 2/1
2400 #Xenakis's Byzantine Liturgical mode, 7 + 16 + 7 parts 7
2401 xenakis_schrom 116.667 383.333 500.000 700.000 816.667 1083.333 2/1
2402 #Yasser Hexad, 6 of 19 as whole tone scale 6
2403 yasser_6 189.474 378.947 568.421 757.895 947.368 2/1
2404 #Yasser's Supra-Diatonic, the flat notes are V,W,X,Y,and Z 12
2405 yasser_diat 126.316 189.474 6/5 378.947 505.263 631.579 694.737 821.053 5/3 1010.526 1073.684 2/1
2406 #Yasser's JI Scale, 2 Yasser hexads, a 121/91 apart 12
2407 yasser_ji 121/112 9/8 121/104 5/4 121/91 11/8 1089/728 13/8 605/364 7/4 1331/728 2/1
2408 #Vallotti & Young scale (Young version) 12
2409 young 256/243 196.090 32/27 392.180 4/3 1024/729 698.045 128/81 894.135 16/9 1090.225 2/1
2410 #Yugoslavian Bagpipe 12
2411 YUGOBAG 99.000 202.000 362.000 463.000 655.000 754.000 861.000 949.000 991.000 1047.000 1129.000 2/1
2412 #Modern Arabic scale 7
2413 zalzal 9/8 27/22 4/3 3/2 18/11 16/9 2
2414 #Zalzal's Scale, a medieval Islamic with Ditone Diatonic & 10/9 x 13/12 x 72/65 7
2415 zalzal2 9/8 81/64 4/3 40/27 130/81 16/9 2/1
2416 #2/7th comma temperament of Zarlino 12
2417 zarlino 25/24 191.621 312.569 383.241 504.190 574.862 695.810 766.483 887.431 1008.379 1079.052 2/1
2418 #Medieval Arabic scale 7
2419 zenkouleh 9/8 8192/6561 4/3 262144/177147 32768/19683 16/9 2
2420 #Harmonic six-star, group A, from Fokker 8
2421 zesster_a 16/15 6/5 32/25 4/3 3/2 8/5 48/25 2/1
2422 #Harmonic six-star, group B, from Fokker 8
2423 zesster_b 28/25 8/7 32/25 7/5 8/5 7/4 64/35 2/1
2424 #Harmonic six-star, group C on Eb, from Fokker 8
2425 zesster_c 8/7 7/6 4/3 32/21 14/9 7/4 16/9 2/1
2426 #Harmonic six-star, groups A, B and C mixed, from Fokker 16
2427 zesster_mix 21/20 16/15 28/25 8/7 6/5 32/25 4/3 48/35 7/5 3/2 8/5 7/4 64/35 28/15 48/25 2/1
2428 #Zirafkend Bouzourk (IG #3, DF #9), from both Rouanet and Safiyu-d-Din 6
2429 zir_Bouzourk 14/13 7/6 6/5 27/20 3/2 2/1
2430 #Arabic Zirafkend mode 8
2431 zirafkend 65536/59049 32/27 4/3 262144/177147 128/81 32768/19683 4096/2187 2/1