User:Tristanbay/Gallery of just intonation scales: Difference between revisions

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== Boutique scales (less than 12 notes) ==
== Boutique scales (less than 12 notes) ==
'''24:26:28:30:32:33:36:39:42:45:48'''
===24:26:28:30:32:33:36:39:42:45:48===
<pre>13/12
<pre>13/12
7/6
7/6
Line 14: Line 14:
2/1</pre>
2/1</pre>


'''24:27:28:30:33:36:39:42:45:48'''
=== 26:29:32:34:38:42:44:50:52 ===
<pre>29/26
16/13
17/13
19/13
21/13
22/13
25/13
2/1</pre>
 
===24:27:28:30:33:36:39:42:45:48===
<pre>9/8
<pre>9/8
7/6
7/6
Line 25: Line 35:
2/1</pre>
2/1</pre>


'''60:63:64:70:80:84:96:105:120'''
===60:63:64:70:80:84:96:105:120===
<pre>35/32
<pre>35/32
5/4
5/4
Line 35: Line 45:
2/1</pre>
2/1</pre>


'''56:60:64:70:84:90:96:105:112'''
===56:60:64:70:84:90:96:105:112===
<pre>35/32
<pre>35/32
7/6
7/6
Line 45: Line 55:
2/1</pre>
2/1</pre>


'''18:20:22:24:27:30:33:36'''
===18:20:22:24:27:30:33:36===
<pre>10/9
<pre>10/9
11/9
11/9
Line 54: Line 64:
2/1</pre>
2/1</pre>


'''14:16:18:20:21:24:27:28'''
===14:16:18:20:21:24:27:28===
<pre>8/7
<pre>8/7
9/7
9/7
Line 63: Line 73:
2/1</pre>
2/1</pre>


'''27:28:33:36:39:42:45:54'''
===27:28:33:36:39:42:45:54===
<pre>28/27
<pre>28/27
11/9
11/9
Line 72: Line 82:
2/1</pre>
2/1</pre>


'''7:8:9:10:11:12:13:14'''
===7:8:9:10:11:12:13:14===
<pre>8/7
<pre>8/7
9/7
9/7
Line 81: Line 91:
2/1</pre>
2/1</pre>


'''56:60:64:70:72:80:84:90:96:105:112'''
===56:60:64:70:72:80:84:90:96:105:112===
<pre>15/14
<pre>15/14
8/7
8/7
Line 93: Line 103:
2/1</pre>
2/1</pre>


'''52:58:64:71:78:86:95:104'''
===52:58:64:71:78:86:95:104===
<pre>71/64
<pre>71/64
39/32
39/32
Line 102: Line 112:
2/1</pre>
2/1</pre>


'''48:52:58:64:72:78:87:96'''
===48:52:58:64:72:78:87:96===
<pre>13/12
<pre>13/12
29/24
29/24
Line 111: Line 121:
2/1</pre>
2/1</pre>


'''33:36:40:42:44:48:54:60:63:66'''
===33:36:40:42:44:48:54:60:63:66===
<pre>12/11
<pre>12/11
40/33
40/33
Line 122: Line 132:
2/1</pre>
2/1</pre>


'''720:780:840:910:945:1008:1092:1170:1260:1365:1440'''
===720:780:840:910:945:1008:1092:1170:1260:1365:1440===
<pre>13/12
<pre>13/12
7/6
7/6
Line 135: Line 145:


== 12-note scales ==
== 12-note scales ==
'''Antitonic 17-limit'''
===Antitonic 17-limit===
<pre>17/16
<pre>17/16
39/32
39/32
Line 149: Line 159:
2/1</pre>
2/1</pre>


'''Bicycle'''
===Bicycle===
<pre>13/12
<pre>13/12
9/8
9/8
Line 163: Line 173:
2/1</pre>
2/1</pre>


'''Duodene'''
===Duodene===
<pre>16/15
<pre>16/15
9/8
9/8
Line 177: Line 187:
2/1</pre>
2/1</pre>


'''Septimal Catgirl'''
===Septimal Catgirl===
<pre>28/27
<pre>28/27
9/8
9/8
Line 191: Line 201:
2/1</pre>
2/1</pre>


'''North Dakota'''
===North Dakota===
<pre>33/32
<pre>33/32
10/9
10/9
Line 205: Line 215:
2/1</pre>
2/1</pre>


'''Johnston Piano Scale (Ringer 12)'''
===Johnston Piano Scale (Ringer 12)===
<pre>15/14
<pre>15/14
8/7
8/7
Line 219: Line 229:
2/1</pre>
2/1</pre>


'''Ephemeral Soup Scale'''
===Ephemeral Soup Scale===
<pre>77/72
<pre>77/72
9/8
9/8
Line 233: Line 243:
2/1</pre>
2/1</pre>


'''Once Upon A Time Scale'''
===Once Upon A Time Scale===
<pre>10/9
<pre>10/9
9/8
9/8
Line 247: Line 257:
2/1</pre>
2/1</pre>


'''Centaur'''
===Centaur===
<pre>21/20
<pre>21/20
9/8
9/8
Line 261: Line 271:
2/1</pre>
2/1</pre>


'''Pental Diachrome'''
===Pental Diachrome===
<pre>10/9
<pre>10/9
9/8
9/8
Line 275: Line 285:
2/1</pre>
2/1</pre>


'''Margo Scale'''
===Margo Scale===
<pre>104/99
<pre>104/99
9/8
9/8
Line 289: Line 299:
2/1</pre>
2/1</pre>


'''Meta-Slendro'''
===Meta-Slendro===
<pre>50/49
<pre>50/49
8/7
8/7
Line 303: Line 313:
2/1</pre>
2/1</pre>


'''Succulent Undecimal Scale'''
===Succulent Undecimal Scale===
<pre>10/9
<pre>10/9
7/6
7/6
Line 318: Line 328:


== 14-note scales ==
== 14-note scales ==
'''No-13s ultrajust'''
===No-13s ultrajust===
  17/16
  17/16
  9/8
  9/8
Line 335: Line 345:


== 17-note scales ==
== 17-note scales ==
'''Walkie'''
===Walkie===
  65/64
  65/64
  13/12
  13/12
Line 353: Line 363:
  15/8
  15/8
  2/1
  2/1
'''Mohahadene'''
===Mohahadene===
  55/54
  55/54
  88/81
  88/81
Line 371: Line 381:
  15/8
  15/8
  2/1
  2/1
'''Dichotidene'''
===Dichotidene===
  28/27
  28/27
  35/32
  35/32
Line 389: Line 399:
  35/18
  35/18
  2/1
  2/1
'''Just Spoogalaxy'''
===Just Spoogalaxy===
  28/27
  28/27
  29/27
  29/27
Line 407: Line 417:
  243/128
  243/128
  2/1
  2/1
'''Cartwheel'''
===Cartwheel===
  28/27
  28/27
  13/12
  13/12
Line 425: Line 435:
  15/8
  15/8
  2/1
  2/1
'''Ringer 17-quad'''
===Ringer 17-quad===
  33/32
  33/32
  17/16
  17/16
Line 443: Line 453:
  15/8
  15/8
  2/1
  2/1
'''Ringer 17-tri'''
===Ringer 17-tri===
  49/48
  49/48
  17/16
  17/16
Line 461: Line 471:
  15/8
  15/8
  2/1
  2/1
'''Schismadene'''
===Schismadene===
  135/128
  135/128
  10/9
  10/9
Line 479: Line 489:
  160/81
  160/81
  2/1
  2/1
'''Traditional Baglama Fret Scale'''
===Traditional Baglama Fret Scale===
  18/17
  18/17
  12/11
  12/11
Line 497: Line 507:
  64/33
  64/33
  2/1
  2/1
'''23-limit Pseudoringer'''
===23-limit Pseudoringer===
  33/32
  33/32
  13/12
  13/12
Line 515: Line 525:
  23/12
  23/12
  2/1
  2/1
'''Zothogothic'''
===Zothogothic===
  28/27
  28/27
  13/12
  13/12
Line 533: Line 543:
  91/48
  91/48
  2/1
  2/1
'''Zolugothic'''
===Zolugothic===
  28/27
  28/27
  12/11
  12/11
Line 551: Line 561:
  21/11
  21/11
  2/1
  2/1
'''Persian Johnston'''
===Persian Johnston===
  33/32
  33/32
  17/16
  17/16
Line 569: Line 579:
  63/32
  63/32
  2/1
  2/1
'''Succulent Novemdecimal scale'''
===Succulent Novemdecimal scale===
  13/12
  13/12
  10/9
  10/9
Line 587: Line 597:
  17/9
  17/9
  2/1
  2/1
'''Aberrismic Neopersian'''
===Aberrismic Neopersian===
  64/63
  64/63
  13/12
  13/12
Line 605: Line 615:
  13/7
  13/7
  2/1
  2/1
'''Latwethagothic'''
===Latwethagothic===
  33/32
  33/32
  69/64
  69/64
Line 623: Line 633:
  23/12
  23/12
  2/1
  2/1
'''Zalatwethagothic'''
===Zalatwethagothic===
  33/32
  33/32
  69/64
  69/64
Line 641: Line 651:
  23/12
  23/12
  2/1
  2/1
'''Chariot'''
===Chariot===
  19/18
  19/18
  13/12
  13/12
Line 661: Line 671:


== 19-note scales ==
== 19-note scales ==
'''Not-quite-ringer 19p'''
===Not-quite-ringer 19p===
  33/32
  33/32
  17/16
  17/16
Line 681: Line 691:
  31/16
  31/16
  2/1
  2/1
'''Quasi-hemipyth detemper'''
===Quasi-hemipyth detemper===
  28/27
  28/27
  13/12
  13/12
Line 701: Line 711:
  63/32
  63/32
  2/1
  2/1
'''19-limit dual-harmonic-segment-based'''
===19-limit dual-harmonic-segment-based===
  25/24
  25/24
  13/12
  13/12
Line 721: Line 731:
  63/32
  63/32
  2/1
  2/1
'''Pseudo-fives scale'''
===Pseudo-fives scale===
  33/32
  33/32
  77/72
  77/72
Line 741: Line 751:
  154/81
  154/81
  2/1
  2/1
'''Chipped Tetromino'''
===Chipped Tetromino===
  21/20
  21/20
  35/32
  35/32
Line 761: Line 771:
  63/32
  63/32
  2/1
  2/1
'''Not-quite-ringer 19egh'''
===Not-quite-ringer 19egh===
  17/16
  17/16
  35/32
  35/32
Line 783: Line 793:


== 20-note scales ==
== 20-note scales ==
'''Yatha Double Blackdye'''
===Yatha Double Blackdye===
  65/64
  65/64
  13/12
  13/12
Line 804: Line 814:
  15/8
  15/8
  2/1
  2/1
'''Yala Double Blackdye'''
===Yala Double Blackdye===
  55/54
  55/54
  33/32
  33/32
Line 827: Line 837:


== 22-note scales ==
== 22-note scales ==
'''Yala Dart'''
===Yala Dart===
  33/32
  33/32
  88/81
  88/81
Line 850: Line 860:
  160/81
  160/81
  2/1
  2/1
'''Close-to-even Scale'''
===Close-to-even Scale===
  33/32
  33/32
  17/16
  17/16
Line 873: Line 883:
  35/18
  35/18
  2/1
  2/1
'''Cheendene'''
===Cheendene===
  1053/1024
  1053/1024
  13/12
  13/12
Line 896: Line 906:
  160/81
  160/81
  2/1
  2/1
'''Compact 11-limit detemper'''
===Compact 11-limit detemper===
  33/32
  33/32
  77/72
  77/72
Line 921: Line 931:


== 24-note scales ==
== 24-note scales ==
'''Car'''
===Car===
  33/32
  33/32
  17/16
  17/16
Line 946: Line 956:
  23/12
  23/12
  2/1
  2/1
'''Sedan'''
===Sedan===
  33/32
  33/32
  17/16
  17/16
Line 971: Line 981:
  23/12
  23/12
  2/1
  2/1
'''Modstraw'''
===Modstraw===
  28/27
  28/27
  35/32
  35/32
Line 996: Line 1,006:
  63/32
  63/32
  2/1
  2/1
'''17-limit scale'''
===17-limit scale===
  33/32
  33/32
  17/16
  17/16
Line 1,021: Line 1,031:
  52/27
  52/27
  2/1
  2/1
'''31-limit scale'''
===31-limit scale===
  33/32
  33/32
  17/16
  17/16
Line 1,046: Line 1,056:
  31/16
  31/16
  2/1
  2/1
'''No-fives undecimal scale'''
===No-fives undecimal scale===
  33/32
  33/32
  77/72
  77/72
Line 1,071: Line 1,081:
  63/32
  63/32
  2/1
  2/1
'''37-limit scale'''
===37-limit scale===
  31/30
  31/30
  16/15
  16/15
Line 1,096: Line 1,106:
  39/20
  39/20
  2/1
  2/1
'''Hexquad'''
===Hexquad===
  28/27
  28/27
  77/72
  77/72
Line 1,121: Line 1,131:
  35/18
  35/18
  2/1
  2/1
'''bus-like 11-limit detemper'''
===bus-like 11-limit detemper===
  33/32
  33/32
  77/72
  77/72
Line 1,148: Line 1,158:


== 26-note scales ==
== 26-note scales ==
'''Mothra Detemper'''
===Mothra Detemper===
  135/128
  135/128
  15/14
  15/14
Line 1,177: Line 1,187:


== 29-note scales ==
== 29-note scales ==
'''andromeda[29] detemper'''
===andromeda[29] detemper===
  33/32
  33/32
  135/128
  135/128
Line 1,209: Line 1,219:


== 31-note scales ==
== 31-note scales ==
'''Otonal Sevenice'''
===Otonal Sevenice===
  36/35
  36/35
  21/20
  21/20
Line 1,241: Line 1,251:
  63/32
  63/32
  2/1
  2/1
'''Utonal Sevenice'''
===Utonal Sevenice===
  36/35
  36/35
  21/20
  21/20
Line 1,273: Line 1,283:
  63/32
  63/32
  2/1
  2/1
'''Ringer 31p'''
===Ringer 31p===
  39/38
  39/38
  20/19
  20/19
Line 1,305: Line 1,315:
  75/38
  75/38
  2/1
  2/1
'''Symmetrizine'''
===Symmetrizine===
  64/63
  64/63
  28/27
  28/27
Line 1,339: Line 1,349:


== Large scales (greater than 31 notes) ==
== Large scales (greater than 31 notes) ==
'''41-tone 5-limit JI'''
===41-tone 5-limit JI===
  81/80
  81/80
  25/24
  25/24
Line 1,381: Line 1,391:
  160/81
  160/81
  2/1
  2/1
'''46-tone septimal JI'''
===46-tone septimal JI===
  64/63
  64/63
  36/35
  36/35
Line 1,428: Line 1,438:
  63/32
  63/32
  2/1
  2/1
'''53-tone Semantic Scale'''
===53-tone Semantic Scale===
  81/80
  81/80
  128/125
  128/125
Line 1,482: Line 1,492:
  160/81
  160/81
  2/1
  2/1
'''130-tone 13-limit JI'''
===Boston===
81/80
45/44
33/32
25/24
21/20
35/33
15/14
27/25
12/11
11/10
10/9
9/8
25/22
55/48
231/200
7/6
33/28
25/21
6/5
40/33
11/9
99/80
5/4
63/50
14/11
9/7
100/77
55/42
33/25
4/3
27/20
15/11
11/8
25/18
7/5
140/99
10/7
36/25
16/11
22/15
40/27
3/2
50/33
55/36
77/50
14/9
11/7
100/63
8/5
160/99
18/11
33/20
5/3
27/16
300/176
55/32
693/400
7/4
99/56
25/14
9/5
20/11
11/6
297/160
15/8
189/100
21/11
27/14
150/77
55/28
99/50
2/1
===130-tone 13-limit JI===
  225/224
  225/224
  105/104
  105/104

Latest revision as of 08:34, 4 January 2026

All of the scales below are constant structure and repeat at 2/1.

Boutique scales (less than 12 notes)

24:26:28:30:32:33:36:39:42:45:48

13/12
7/6
5/4
4/3
11/8
3/2
13/8
7/4
15/8
2/1

26:29:32:34:38:42:44:50:52

29/26
16/13
17/13
19/13
21/13
22/13
25/13
2/1

24:27:28:30:33:36:39:42:45:48

9/8
7/6
5/4
11/8
3/2
13/8
7/4
15/8
2/1

60:63:64:70:80:84:96:105:120

35/32
5/4
21/16
4/3
35/24
5/3
7/4
2/1

56:60:64:70:84:90:96:105:112

35/32
7/6
5/4
4/3
35/24
7/4
15/8
2/1

18:20:22:24:27:30:33:36

10/9
11/9
4/3
3/2
5/3
11/6
2/1

14:16:18:20:21:24:27:28

8/7
9/7
10/7
3/2
12/7
27/14
2/1

27:28:33:36:39:42:45:54

28/27
11/9
4/3
13/9
14/9
5/3
2/1

7:8:9:10:11:12:13:14

8/7
9/7
10/7
11/7
12/7
13/7
2/1

56:60:64:70:72:80:84:90:96:105:112

15/14
8/7
5/4
9/7
10/7
3/2
45/28
12/7
15/8
2/1

52:58:64:71:78:86:95:104

71/64
39/32
43/32
95/64
13/8
29/16
2/1

48:52:58:64:72:78:87:96

13/12
29/24
4/3
3/2
13/8
29/16
2/1

33:36:40:42:44:48:54:60:63:66

12/11
40/33
14/11
4/3
16/11
18/11
20/11
21/11
2/1

720:780:840:910:945:1008:1092:1170:1260:1365:1440

13/12
7/6
91/72
21/16
7/5
91/60
13/8
7/4
91/48
2/1

12-note scales

Antitonic 17-limit

17/16
39/32
5/4
21/16
11/8
3/2
51/32
13/8
5/3
7/4
11/6
2/1

Bicycle

13/12
9/8
7/6
5/4
4/3
11/8
3/2
13/8
5/3
7/4
11/6
2/1

Duodene

16/15
9/8
6/5
5/4
4/3
45/32
3/2
8/5
5/3
9/5
15/8
2/1

Septimal Catgirl

28/27
9/8
7/6
5/4
4/3
45/32
3/2
14/9
5/3
7/4
15/8
2/1

North Dakota

33/32
10/9
7/6
5/4
4/3
11/8
3/2
14/9
5/3
7/4
11/6
2/1

Johnston Piano Scale (Ringer 12)

15/14
8/7
17/14
9/7
19/14
10/7
3/2
11/7
12/7
13/7
27/14
2/1

Ephemeral Soup Scale

77/72
9/8
77/64
21/16
693/512
189/128
3/2
77/48
7/4
231/128
63/32
2/1

Once Upon A Time Scale

10/9
9/8
5/4
9/7
21/16
35/24
3/2
5/3
12/7
7/4
35/18
2/1

Centaur

21/20
9/8
7/6
5/4
4/3
7/5
3/2
14/9
5/3
7/4
15/8
2/1

Pental Diachrome

10/9
9/8
5/4
81/64
4/3
40/27
3/2
5/3
27/16
15/8
160/81
2/1

Margo Scale

104/99
9/8
13/11
14/11
4/3
63/44
3/2
52/33
56/33
16/9
21/11
2/1

Meta-Slendro

50/49
8/7
57/49
64/49
65/49
72/49
74/49
151/98
12/7
86/49
96/49
2/1

Succulent Undecimal Scale

10/9
7/6
5/4
21/16
4/3
11/8
3/2
5/3
7/4
16/9
11/6
2/1

14-note scales

No-13s ultrajust

17/16
9/8
19/16
5/4
21/16
11/8
23/16
3/2
19/12
5/3
7/4
11/6
23/12
2/1

17-note scales

Walkie

65/64
13/12
9/8
585/512
39/32
5/4
4/3
65/48
45/32
3/2
195/128
13/8
5/3
16/9
117/64
15/8
2/1

Mohahadene

55/54
88/81
9/8
55/48
11/9
5/4
4/3
11/8
45/32
3/2
55/36
44/27
5/3
55/32
11/6
15/8
2/1

Dichotidene

28/27
35/32
9/8
7/6
5/4
35/27
4/3
45/32
35/24
3/2
14/9
105/64
27/16
7/4
15/8
35/18
2/1

Just Spoogalaxy

28/27
29/27
9/8
7/6
29/24
81/64
21/16
87/64
116/81
3/2
14/9
29/18
27/16
7/4
29/16
243/128
2/1

Cartwheel

28/27
13/12
9/8
7/6
11/9
5/4
4/3
11/8
13/9
3/2
14/9
13/8
5/3
7/4
11/6
15/8
2/1

Ringer 17-quad

33/32
17/16
9/8
19/16
77/64
5/4
21/16
11/8
23/16
3/2
49/32
25/16
13/8
7/4
29/16
15/8
2/1

Ringer 17-tri

49/48
17/16
9/8
19/16
29/24
5/4
21/16
11/8
23/16
3/2
74/48
25/16
13/8
7/4
11/6
15/8
2/1

Schismadene

135/128
10/9
9/8
32/27
5/4
81/64
4/3
45/32
40/27
3/2
128/81
5/3
27/16
16/9
15/8
160/81
2/1

Traditional Baglama Fret Scale

18/17
12/11
9/8
81/68
27/22
81/64
4/3
24/17
16/11
3/2
27/17
18/11
27/16
16/9
32/17
64/33
2/1

23-limit Pseudoringer

33/32
13/12
9/8
7/6
39/32
5/4
4/3
11/8
17/12
3/2
19/12
13/8
5/3
7/4
11/6
23/12
2/1

Zothogothic

28/27
13/12
9/8
7/6
39/32
91/72
4/3
112/81
13/9
3/2
14/9
13/8
91/54
7/4
117/64
91/48
2/1

Zolugothic

28/27
12/11
9/8
7/6
27/22
14/11
4/3
112/81
16/11
3/2
14/9
18/11
56/33
7/4
81/44
21/11
2/1

Persian Johnston

33/32
17/16
9/8
19/16
5/4
21/16
4/3
11/8
23/16
3/2
13/8
5/3
7/4
57/32
15/8
63/32
2/1

Succulent Novemdecimal scale

13/12
10/9
7/6
19/16
5/4
21/16
4/3
11/8
17/12
3/2
19/12
5/3
7/4
16/9
11/6
17/9
2/1

Aberrismic Neopersian

64/63
13/12
9/8
8/7
39/32
26/21
4/3
256/189
13/9
3/2
32/21
13/8
104/63
12/7
117/64
13/7
2/1

Latwethagothic

33/32
69/64
9/8
32/27
11/9
23/18
4/3
11/8
23/16
3/2
99/64
207/128
27/16
16/9
11/6
23/12
2/1

Zalatwethagothic

33/32
69/64
9/8
7/6
11/9
23/18
21/16
11/8
23/16
3/2
14/9
44/27
46/27
7/4
11/6
23/12
2/1

Chariot

19/18
13/12
10/9
7/6
11/9
5/4
4/3
11/8
17/12
3/2
19/12
13/8
5/3
7/4
11/6
23/12
2/1

19-note scales

Not-quite-ringer 19p

33/32
17/16
9/8
7/6
19/16
5/4
21/16
4/3
11/8
23/16
3/2
25/16
13/8
27/16
7/4
29/16
15/8
31/16
2/1

Quasi-hemipyth detemper

28/27
13/12
9/8
7/6
32/27
11/9
21/16
4/3
11/8
13/9
3/2
14/9
13/8
27/16
7/4
16/9
11/6
63/32
2/1

19-limit dual-harmonic-segment-based

25/24
13/12
9/8
7/6
19/16
5/4
21/16
4/3
11/8
17/12
3/2
25/16
13/8
27/16
7/4
57/32
15/8
63/32
2/1

Pseudo-fives scale

33/32
77/72
9/8
7/6
77/64
11/9
21/16
4/3
11/8
77/54
3/2
14/9
77/48
44/27
7/4
16/9
11/6
154/81
2/1

Chipped Tetromino

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

Not-quite-ringer 19egh

17/16
35/32
9/8
19/16
39/32
5/4
21/16
11/8
45/32
23/16
3/2
25/16
13/8
27/16
7/4
29/16
15/8
31/16
2/1

20-note scales

Yatha Double Blackdye

65/64
13/12
10/9
9/8
65/54
39/32
5/4
4/3
65/48
13/9
40/27
3/2
130/81
13/8
5/3
27/16
65/36
117/64
15/8
2/1

Yala Double Blackdye

55/54
33/32
10/9
9/8
55/48
11/9
5/4
4/3
110/81
11/8
40/27
3/2
55/36
99/64
5/3
27/16
55/32
11/6
15/8
2/1

22-note scales

Yala Dart

33/32
88/81
10/9
9/8
32/27
11/9
5/4
81/64
4/3
11/8
45/32
40/27
3/2
99/64
44/27
5/3
27/16
16/9
11/6
15/8
160/81
2/1

Close-to-even Scale

33/32
17/16
35/32
9/8
7/6
29/24
5/4
31/24
4/3
11/8
17/12
35/24
3/2
14/9
29/18
5/3
31/18
16/9
11/6
17/9
35/18
2/1

Cheendene

1053/1024
13/12
10/9
9/8
32/27
39/32
5/4
81/64
4/3
351/256
45/32
40/27
3/2
3159/2048
13/8
5/3
27/16
16/9
117/64
15/8
160/81
2/1

Compact 11-limit detemper

33/32
77/72
35/32
9/8
7/6
77/64
5/4
165/128
4/3
11/8
45/32
35/24
3/2
14/9
77/48
5/3
55/32
7/4
11/6
15/8
35/18
2/1

24-note scales

Car

33/32
17/16
13/12
9/8
7/6
19/16
39/32
5/4
21/16
4/3
11/8
17/12
23/16
3/2
14/9
19/12
13/8
5/3
7/4
57/32
11/6
15/8
23/12
2/1

Sedan

33/32
17/16
13/12
10/9
7/6
19/16
39/32
5/4
21/16
4/3
11/8
17/12
23/16
3/2
14/9
19/12
13/8
5/3
7/4
16/9
11/6
15/8
23/12
2/1

Modstraw

28/27
35/32
10/9
9/8
7/6
32/27
5/4
35/27
21/16
4/3
45/32
35/24
40/27
3/2
14/9
105/64
5/3
27/16
7/4
16/9
15/8
35/18
63/32
2/1

17-limit scale

33/32
17/16
13/12
10/9
7/6
32/27
11/9
5/4
21/16
4/3
11/8
17/12
13/9
3/2
14/9
51/32
13/8
5/3
7/4
16/9
11/6
15/8
52/27
2/1

31-limit scale

33/32
17/16
13/12
9/8
7/6
19/16
29/24
5/4
21/16
4/3
11/8
17/12
23/16
3/2
14/9
19/12
13/8
5/3
7/4
16/9
29/16
15/8
31/16
2/1

No-fives undecimal scale

33/32
77/72
88/81
9/8
7/6
77/64
11/9
81/64
21/16
4/3
11/8
77/54
352/243
3/2
14/9
77/48
44/27
27/16
7/4
16/9
11/6
154/81
63/32
2/1

37-limit scale

31/30
16/15
11/10
17/15
7/6
6/5
37/30
19/15
13/10
4/3
11/8
17/12
35/24
3/2
31/20
8/5
33/20
17/10
7/4
9/5
37/20
19/10
39/20
2/1

Hexquad

28/27
77/72
35/32
9/8
7/6
77/64
11/9
5/4
35/27
4/3
11/8
45/32
35/24
3/2
14/9
77/48
44/27
5/3
7/4
231/128
11/6
15/8
35/18
2/1

bus-like 11-limit detemper

33/32
77/72
35/32
9/8
7/6
77/64
11/9
5/4
21/16
4/3
11/8
45/32
35/24
3/2
14/9
77/48
105/64
5/3
7/4
16/9
11/6
15/8
35/18
2/1

26-note scales

Mothra Detemper

135/128
15/14
35/32
9/8
8/7
7/6
315/256
5/4
9/7
21/16
4/3
45/32
10/7
35/24
3/2
32/21
45/28
105/64
5/3
12/7
7/4
945/512
15/8
40/21
63/32
2/1

29-note scales

andromeda[29] detemper

33/32
135/128
13/12
10/9
9/8
7/6
32/27
11/9
5/4
81/64
21/16
4/3
11/8
45/32
13/9
189/128
3/2
14/9
405/256
13/8
5/3
27/16
7/4
16/9
11/6
15/8
52/27
63/32
2/1

31-note scales

Otonal Sevenice

36/35
21/20
15/14
35/32
9/8
8/7
7/6
6/5
128/105
5/4
9/7
21/16
4/3
48/35
7/5
10/7
35/24
3/2
32/21
63/40
8/5
105/64
5/3
12/7
7/4
9/5
64/35
15/8
40/21
63/32
2/1

Utonal Sevenice

36/35
21/20
15/14
35/32
9/8
8/7
7/6
6/5
315/256
5/4
9/7
21/16
4/3
48/35
7/5
10/7
35/24
3/2
32/21
63/40
8/5
105/64
5/3
12/7
7/4
9/5
64/35
15/8
40/21
63/32
2/1

Ringer 31p

39/38
20/19
41/38
21/19
43/38
22/19
45/38
23/19
47/38
24/19
49/38
25/19
51/38
26/19
27/19
55/38
28/19
3/2
29/19
30/19
61/38
31/19
32/19
33/19
67/38
34/19
35/19
36/19
37/19
75/38
2/1

Symmetrizine

64/63
28/27
16/15
12/11
9/8
8/7
7/6
6/5
11/9
5/4
9/7
21/16
4/3
11/8
45/32
64/45
16/11
3/2
32/21
14/9
8/5
18/11
5/3
12/7
7/4
16/9
11/6
15/8
27/14
63/32
2/1

Large scales (greater than 31 notes)

41-tone 5-limit JI

81/80
25/24
135/128
16/15
27/25
10/9
9/8
256/225
75/64
32/27
6/5
100/81
5/4
81/64
32/25
320/243
4/3
27/20
25/18
45/32
64/45
36/25
40/27
3/2
243/160
25/16
128/81
8/5
81/50
5/3
27/16
128/75
225/128
16/9
9/5
50/27
15/8
256/135
48/25
160/81
2/1

46-tone septimal JI

64/63
36/35
21/20
16/15
15/14
35/32
10/9
9/8
8/7
7/6
189/160
6/5
128/105
315/256
5/4
80/63
9/7
21/16
4/3
27/20
48/35
7/5
45/32
10/7
35/24
189/128
3/2
32/21
14/9
63/40
8/5
45/28
105/64
5/3
27/16
12/7
7/4
16/9
9/5
64/35
28/15
15/8
40/21
27/14
63/32
2/1

53-tone Semantic Scale

81/80
128/125
25/24
135/128
16/15
27/25
800/729
10/9
9/8
256/225
144/125
75/64
32/27
6/5
243/200
100/81
5/4
81/64
32/25
125/96
320/243
4/3
27/20
512/375
25/18
45/32
64/45
36/25
375/256
40/27
3/2
243/160
192/125
25/16
128/81
8/5
81/50
400/243
5/3
27/16
128/75
125/72
225/128
16/9
9/5
729/400
50/27
15/8
256/135
48/25
125/64
160/81
2/1

Boston

81/80
45/44
33/32
25/24
21/20
35/33
15/14
27/25
12/11
11/10
10/9
9/8
25/22
55/48
231/200
7/6
33/28
25/21
6/5
40/33
11/9
99/80
5/4
63/50
14/11
9/7
100/77
55/42
33/25
4/3
27/20
15/11
11/8
25/18
7/5
140/99
10/7
36/25
16/11
22/15
40/27
3/2
50/33
55/36
77/50
14/9
11/7
100/63
8/5
160/99
18/11
33/20
5/3
27/16
300/176
55/32
693/400
7/4
99/56
25/14
9/5
20/11
11/6
297/160
15/8
189/100
21/11
27/14
150/77
55/28
99/50
2/1

130-tone 13-limit JI

225/224
105/104
65/64
45/44
36/35
33/32
28/27
25/24
21/20
135/128
35/33
16/15
15/14
14/13
13/12
12/11
35/32
11/10
72/65
10/9
28/25
9/8
112/99
25/22
8/7
55/48
15/13
65/56
7/6
168/143
13/11
32/27
25/21
6/5
135/112
40/33
128/105
11/9
16/13
26/21
56/45
5/4
63/50
81/64
14/11
32/25
9/7
84/65
13/10
72/55
21/16
33/25
143/108
4/3
75/56
27/20
65/48
15/11
48/35
11/8
18/13
25/18
7/5
45/32
99/70
64/45
10/7
36/25
13/9
16/11
35/24
22/15
96/65
40/27
112/75
3/2
448/297
50/33
32/21
55/36
20/13
65/42
14/9
25/16
11/7
128/81
100/63
8/5
45/28
21/13
13/8
18/11
105/64
33/20
224/135
5/3
42/25
27/16
22/13
143/84
12/7
112/65
26/15
96/55
7/4
44/25
99/56
16/9
25/14
9/5
65/36
20/11
64/35
11/6
24/13
13/7
28/15
15/8
66/35
256/135
40/21
48/25
27/14
64/33
35/18
49/25
63/32
99/50
143/72
2/1
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