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

From Xenharmonic Reference
VisualWikitext
Created gallery of JI scales (expanded from my user page)
 
 
(5 intermediate revisions by 2 users not shown)
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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== 12-note scales ==
== 12-note scales ==
'''Antitonic 17-limit'''
===Antitonic 17-limit===
<pre>17/16
<pre>17/16
39/32
39/32
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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
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2/1</pre>
2/1</pre>


'''Septimal Catgirl'''
===Septimal Catgirl===
<pre>28/27
<pre>28/27
9/8
9/8
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2/1</pre>
2/1</pre>


'''North Dakota'''
===North Dakota===
<pre>33/32
<pre>33/32
10/9
10/9
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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
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2/1</pre>
2/1</pre>


'''Ephemeral Soup Scale'''
===Ephemeral Soup Scale===
<pre>77/72
<pre>77/72
9/8
9/8
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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
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2/1</pre>
2/1</pre>


'''Centaur'''
===Centaur===
<pre>21/20
<pre>21/20
9/8
9/8
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2/1</pre>
2/1</pre>


'''Pental Diachrome'''
===Pental Diachrome===
<pre>10/9
<pre>10/9
9/8
9/8
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2/1</pre>
2/1</pre>


'''Margo Scale'''
===Margo Scale===
<pre>104/99
<pre>104/99
9/8
9/8
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2/1</pre>
2/1</pre>


'''Meta-Slendro'''
===Meta-Slendro===
<pre>50/49
<pre>50/49
8/7
8/7
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2/1</pre>
2/1</pre>


'''Succulent Undecimal Scale'''
===Succulent Undecimal Scale===
<pre>10/9
<pre>10/9
7/6
7/6
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== 14-note scales ==
== 14-note scales ==
'''No-13s ultrajust'''
===No-13s ultrajust===
17/16
17/16
9/8
9/8
19/16
19/16
5/4
5/4
21/16
21/16
11/8
11/8
23/16
23/16
3/2
3/2
19/12
19/12
5/3
5/3
7/4
7/4
11/6
11/6
23/12
23/12
2/1
2/1


== 17-note scales ==
== 17-note scales ==
'''Walkie'''
===Walkie===
65/64
65/64
13/12
13/12
9/8
9/8
585/512
585/512
39/32
39/32
5/4
5/4
4/3
4/3
65/48
65/48
45/32
45/32
3/2
3/2
195/128
195/128
13/8
13/8
5/3
5/3
16/9
16/9
117/64
117/64
15/8
15/8
2/1
2/1
 
===Mohahadene===
'''Mohahadene'''
55/54
55/54
88/81
88/81
9/8
9/8
55/48
55/48
11/9
11/9
5/4
5/4
4/3
4/3
11/8
11/8
45/32
45/32
3/2
3/2
55/36
55/36
44/27
44/27
5/3
5/3
55/32
55/32
11/6
11/6
15/8
15/8
2/1
2/1
===Dichotidene===
 
28/27
'''Dichotidene'''
35/32
28/27
9/8
35/32
7/6
9/8
5/4
7/6
35/27
5/4
4/3
35/27
45/32
4/3
35/24
45/32
3/2
35/24
14/9
3/2
105/64
14/9
27/16
105/64
7/4
27/16
15/8
7/4
35/18
15/8
2/1
35/18
===Just Spoogalaxy===
2/1
28/27
 
29/27
'''Just Spoogalaxy'''
9/8
28/27
7/6
29/27
29/24
9/8
81/64
7/6
21/16
29/24
87/64
81/64
116/81
21/16
3/2
87/64
14/9
116/81
29/18
3/2
27/16
14/9
7/4
29/18
29/16
27/16
243/128
7/4
2/1
29/16
===Cartwheel===
243/128
28/27
2/1
13/12
 
9/8
'''Cartwheel'''
7/6
28/27
11/9
13/12
5/4
9/8
4/3
7/6
11/8
11/9
13/9
5/4
3/2
4/3
14/9
11/8
13/8
13/9
5/3
3/2
7/4
14/9
11/6
13/8
15/8
5/3
2/1
7/4
===Ringer 17-quad===
11/6
33/32
15/8
17/16
2/1
9/8
 
19/16
'''Ringer 17-quad'''
77/64
33/32
5/4
17/16
21/16
9/8
11/8
19/16
23/16
77/64
3/2
5/4
49/32
21/16
25/16
11/8
13/8
23/16
7/4
3/2
29/16
49/32
15/8
25/16
2/1
13/8
===Ringer 17-tri===
7/4
49/48
29/16
17/16
15/8
9/8
2/1
19/16
 
29/24
'''Ringer 17-tri'''
5/4
49/48
21/16
17/16
11/8
9/8
23/16
19/16
3/2
29/24
74/48
5/4
25/16
21/16
13/8
11/8
7/4
23/16
11/6
3/2
15/8
74/48
2/1
25/16
===Schismadene===
13/8
135/128
7/4
10/9
11/6
9/8
15/8
32/27
2/1
5/4
 
81/64
'''Schismadene'''
4/3
135/128
45/32
10/9
40/27
9/8
3/2
32/27
128/81
5/4
5/3
81/64
27/16
4/3
16/9
45/32
15/8
40/27
160/81
3/2
2/1
128/81
===Traditional Baglama Fret Scale===
5/3
18/17
27/16
12/11
16/9
9/8
15/8
81/68
160/81
27/22
2/1
81/64
 
4/3
'''Traditional Baglama Fret Scale'''
24/17
18/17
16/11
12/11
3/2
9/8
27/17
81/68
18/11
27/22
27/16
81/64
16/9
4/3
32/17
24/17
64/33
16/11
2/1
3/2
===23-limit Pseudoringer===
27/17
33/32
18/11
13/12
27/16
9/8
16/9
7/6
32/17
39/32
64/33
5/4
2/1
4/3
 
11/8
'''23-limit Pseudoringer'''
17/12
33/32
3/2
13/12
19/12
9/8
13/8
7/6
5/3
39/32
7/4
5/4
11/6
4/3
23/12
11/8
2/1
17/12
===Zothogothic===
3/2
28/27
19/12
13/12
13/8
9/8
5/3
7/6
7/4
39/32
11/6
91/72
23/12
4/3
2/1
112/81
 
13/9
'''Zothogothic'''
3/2
28/27
14/9
13/12
13/8
9/8
91/54
7/6
7/4
39/32
117/64
91/72
91/48
4/3
2/1
112/81
===Zolugothic===
13/9
28/27
3/2
12/11
14/9
9/8
13/8
7/6
91/54
27/22
7/4
14/11
117/64
4/3
91/48
112/81
2/1
16/11
 
3/2
'''Zolugothic'''
14/9
28/27
18/11
12/11
56/33
9/8
7/4
7/6
81/44
27/22
21/11
14/11
2/1
4/3
===Persian Johnston===
112/81
33/32
16/11
17/16
3/2
9/8
14/9
19/16
18/11
5/4
56/33
21/16
7/4
4/3
81/44
11/8
21/11
23/16
2/1
3/2
 
13/8
'''Persian Johnston'''
5/3
33/32
7/4
17/16
57/32
9/8
15/8
19/16
63/32
5/4
2/1
21/16
===Succulent Novemdecimal scale===
4/3
13/12
11/8
10/9
23/16
7/6
3/2
19/16
13/8
5/4
5/3
21/16
7/4
4/3
57/32
11/8
15/8
17/12
63/32
3/2
2/1
19/12
 
5/3
'''Succulent Novemdecimal scale'''
7/4
13/12
16/9
10/9
11/6
7/6
17/9
19/16
2/1
5/4
===Aberrismic Neopersian===
21/16
64/63
4/3
13/12
11/8
9/8
17/12
8/7
3/2
39/32
19/12
26/21
5/3
4/3
7/4
256/189
16/9
13/9
11/6
3/2
17/9
32/21
2/1
13/8
 
104/63
'''Aberrismic Neopersian'''
12/7
64/63
117/64
13/12
13/7
9/8
2/1
8/7
===Latwethagothic===
39/32
33/32
26/21
69/64
4/3
9/8
256/189
32/27
13/9
11/9
3/2
23/18
32/21
4/3
13/8
11/8
104/63
23/16
12/7
3/2
117/64
99/64
13/7
207/128
2/1
27/16
 
16/9
'''Latwethagothic'''
11/6
33/32
23/12
69/64
2/1
9/8
===Zalatwethagothic===
32/27
33/32
11/9
69/64
23/18
9/8
4/3
7/6
11/8
11/9
23/16
23/18
3/2
21/16
99/64
11/8
207/128
23/16
27/16
3/2
16/9
14/9
11/6
44/27
23/12
46/27
2/1
7/4
 
11/6
'''Zalatwethagothic'''
23/12
33/32
2/1
69/64
===Chariot===
9/8
19/18
7/6
13/12
11/9
10/9
23/18
7/6
21/16
11/9
11/8
5/4
23/16
4/3
3/2
11/8
14/9
17/12
44/27
3/2
46/27
19/12
7/4
13/8
11/6
5/3
23/12
7/4
2/1
11/6
 
23/12
'''Chariot'''
2/1
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 ==
== 19-note scales ==
'''Not-quite-ringer 19p'''
===Not-quite-ringer 19p===
33/32
33/32
17/16
17/16
9/8
9/8
7/6
7/6
19/16
19/16
5/4
5/4
21/16
21/16
4/3
4/3
11/8
11/8
23/16
23/16
3/2
3/2
25/16
25/16
13/8
13/8
27/16
27/16
7/4
7/4
29/16
29/16
15/8
15/8
31/16
31/16
2/1
2/1
 
===Quasi-hemipyth detemper===
'''Quasi-hemipyth detemper'''
28/27
28/27
13/12
13/12
9/8
9/8
7/6
7/6
32/27
32/27
11/9
11/9
21/16
21/16
4/3
4/3
11/8
11/8
13/9
13/9
3/2
3/2
14/9
14/9
13/8
13/8
27/16
27/16
7/4
7/4
16/9
16/9
11/6
11/6
63/32
63/32
2/1
2/1
===19-limit dual-harmonic-segment-based===
 
25/24
'''19-limit dual-harmonic-segment-based'''
13/12
25/24
9/8
13/12
7/6
9/8
19/16
7/6
5/4
19/16
21/16
5/4
4/3
21/16
11/8
4/3
17/12
11/8
3/2
17/12
25/16
3/2
13/8
25/16
27/16
13/8
7/4
27/16
57/32
7/4
15/8
57/32
63/32
15/8
2/1
63/32
===Pseudo-fives scale===
2/1
33/32
 
77/72
'''Pseudo-fives scale'''
9/8
33/32
7/6
77/72
77/64
9/8
11/9
7/6
21/16
77/64
4/3
11/9
11/8
21/16
77/54
4/3
3/2
11/8
14/9
77/54
77/48
3/2
44/27
14/9
7/4
77/48
16/9
44/27
11/6
7/4
154/81
16/9
2/1
11/6
===Chipped Tetromino===
154/81
21/20
2/1
35/32
 
9/8
'''Chipped Tetromino'''
7/6
21/20
6/5
35/32
5/4
9/8
21/16
7/6
4/3
6/5
7/5
5/4
35/24
21/16
3/2
4/3
63/40
7/5
8/5
35/24
5/3
3/2
7/4
63/40
9/5
8/5
15/8
5/3
63/32
7/4
2/1
9/5
===Not-quite-ringer 19egh===
15/8
17/16
63/32
35/32
2/1
9/8
 
19/16
'''Not-quite-ringer 19egh'''
39/32
17/16
5/4
35/32
21/16
9/8
11/8
19/16
45/32
39/32
23/16
5/4
3/2
21/16
25/16
11/8
13/8
45/32
27/16
23/16
7/4
3/2
29/16
25/16
15/8
13/8
31/16
27/16
2/1
7/4
29/16
15/8
31/16
2/1


== 20-note scales ==
== 20-note scales ==
'''Yatha Double Blackdye'''
===Yatha Double Blackdye===
65/64
65/64
13/12
13/12
10/9
10/9
9/8
9/8
65/54
65/54
39/32
39/32
5/4
5/4
4/3
4/3
65/48
65/48
13/9
13/9
40/27
40/27
3/2
3/2
130/81
130/81
13/8
13/8
5/3
5/3
27/16
27/16
65/36
65/36
117/64
117/64
15/8
15/8
2/1
2/1
 
===Yala Double Blackdye===
'''Yala Double Blackdye'''
55/54
55/54
33/32
33/32
10/9
10/9
9/8
9/8
55/48
55/48
11/9
11/9
5/4
5/4
4/3
4/3
110/81
110/81
11/8
11/8
40/27
40/27
3/2
3/2
55/36
55/36
99/64
99/64
5/3
5/3
27/16
27/16
55/32
55/32
11/6
11/6
15/8
15/8
2/1
2/1


== 22-note scales ==
== 22-note scales ==
'''Yala Dart'''
===Yala Dart===
33/32
33/32
88/81
88/81
10/9
10/9
9/8
9/8
32/27
32/27
11/9
11/9
5/4
5/4
81/64
81/64
4/3
4/3
11/8
11/8
45/32
45/32
40/27
40/27
3/2
3/2
99/64
99/64
44/27
44/27
5/3
5/3
27/16
27/16
16/9
16/9
11/6
11/6
15/8
15/8
160/81
160/81
2/1
2/1
 
===Close-to-even Scale===
'''Close-to-even Scale'''
33/32
33/32
17/16
17/16
35/32
35/32
9/8
9/8
7/6
7/6
29/24
29/24
5/4
5/4
31/24
31/24
4/3
4/3
11/8
11/8
17/12
17/12
35/24
35/24
3/2
3/2
14/9
14/9
29/18
29/18
5/3
5/3
31/18
31/18
16/9
16/9
11/6
11/6
17/9
17/9
35/18
35/18
2/1
2/1
===Cheendene===
 
1053/1024
'''cheen detempering'''
13/12
1053/1024
10/9
13/12
9/8
10/9
32/27
9/8
39/32
32/27
5/4
39/32
81/64
5/4
4/3
81/64
351/256
4/3
45/32
351/256
40/27
45/32
3/2
40/27
3159/2048
3/2
13/8
3159/2048
5/3
13/8
27/16
5/3
16/9
27/16
117/64
16/9
15/8
117/64
160/81
15/8
2/1
160/81
===Compact 11-limit detemper===
2/1
33/32
 
77/72
'''Compact 11-limit detemper'''
35/32
33/32
9/8
77/72
7/6
35/32
77/64
9/8
5/4
7/6
165/128
77/64
4/3
5/4
11/8
165/128
45/32
4/3
35/24
11/8
3/2
45/32
14/9
35/24
77/48
3/2
5/3
14/9
55/32
77/48
7/4
5/3
11/6
55/32
15/8
7/4
35/18
11/6
2/1
15/8
35/18
2/1


== 24-note scales ==
== 24-note scales ==
'''Car'''
===Car===
33/32
33/32
17/16
17/16
13/12
13/12
9/8
9/8
7/6
7/6
19/16
19/16
39/32
39/32
5/4
5/4
21/16
21/16
4/3
4/3
11/8
11/8
17/12
17/12
23/16
23/16
3/2
3/2
14/9
14/9
19/12
19/12
13/8
13/8
5/3
5/3
7/4
7/4
57/32
57/32
11/6
11/6
15/8
15/8
23/12
23/12
2/1
2/1
 
===Sedan===
'''Sedan'''
33/32
33/32
17/16
17/16
13/12
13/12
10/9
10/9
7/6
7/6
19/16
19/16
39/32
39/32
5/4
5/4
21/16
21/16
4/3
4/3
11/8
11/8
17/12
17/12
23/16
23/16
3/2
3/2
14/9
14/9
19/12
19/12
13/8
13/8
5/3
5/3
7/4
7/4
16/9
16/9
11/6
11/6
15/8
15/8
23/12
23/12
2/1
2/1
===Modstraw===
 
28/27
'''Modstraw'''
35/32
28/27
10/9
35/32
9/8
10/9
7/6
9/8
32/27
7/6
5/4
32/27
35/27
5/4
21/16
35/27
4/3
21/16
45/32
4/3
35/24
45/32
40/27
35/24
3/2
40/27
14/9
3/2
105/64
14/9
5/3
105/64
27/16
5/3
7/4
27/16
16/9
7/4
15/8
16/9
35/18
15/8
63/32
35/18
2/1
63/32
===17-limit scale===
2/1
33/32
 
17/16
'''17-limit scale'''
13/12
33/32
10/9
17/16
7/6
13/12
32/27
10/9
11/9
7/6
5/4
32/27
21/16
11/9
4/3
5/4
11/8
21/16
17/12
4/3
13/9
11/8
3/2
17/12
14/9
13/9
51/32
3/2
13/8
14/9
5/3
51/32
7/4
13/8
16/9
5/3
11/6
7/4
15/8
16/9
52/27
11/6
2/1
15/8
===31-limit scale===
52/27
33/32
2/1
17/16
 
13/12
'''31-limit scale'''
9/8
33/32
7/6
17/16
19/16
13/12
29/24
9/8
5/4
7/6
21/16
19/16
4/3
29/24
11/8
5/4
17/12
21/16
23/16
4/3
3/2
11/8
14/9
17/12
19/12
23/16
13/8
3/2
5/3
14/9
7/4
19/12
16/9
13/8
29/16
5/3
15/8
7/4
31/16
16/9
2/1
29/16
===No-fives undecimal scale===
15/8
33/32
31/16
77/72
2/1
88/81
 
9/8
'''No-fives undecimal scale'''
7/6
33/32
77/64
77/72
11/9
88/81
81/64
9/8
21/16
7/6
4/3
77/64
11/8
11/9
77/54
81/64
352/243
21/16
3/2
4/3
14/9
11/8
77/48
77/54
44/27
352/243
27/16
3/2
7/4
14/9
16/9
77/48
11/6
44/27
154/81
27/16
63/32
7/4
2/1
16/9
===37-limit scale===
11/6
31/30
154/81
16/15
63/32
11/10
2/1
17/15
 
7/6
'''37-limit scale'''
6/5
31/30
37/30
16/15
19/15
11/10
13/10
17/15
4/3
7/6
11/8
6/5
17/12
37/30
35/24
19/15
3/2
13/10
31/20
4/3
8/5
11/8
33/20
17/12
17/10
35/24
7/4
3/2
9/5
31/20
37/20
8/5
19/10
33/20
39/20
17/10
2/1
7/4
===Hexquad===
9/5
28/27
37/20
77/72
19/10
35/32
39/20
9/8
2/1
7/6
 
77/64
'''Hexquad'''
11/9
28/27
5/4
77/72
35/27
35/32
4/3
9/8
11/8
7/6
45/32
77/64
35/24
11/9
3/2
5/4
14/9
35/27
77/48
4/3
44/27
11/8
5/3
45/32
7/4
35/24
231/128
3/2
11/6
14/9
15/8
77/48
35/18
44/27
2/1
5/3
===bus-like 11-limit detemper===
7/4
33/32
231/128
77/72
11/6
35/32
15/8
9/8
35/18
7/6
2/1
77/64
 
11/9
'''bus-like 11-limit detemper'''
5/4
33/32
21/16
77/72
4/3
35/32
11/8
9/8
45/32
7/6
35/24
77/64
3/2
11/9
14/9
5/4
77/48
21/16
105/64
4/3
5/3
11/8
7/4
45/32
16/9
35/24
11/6
3/2
15/8
14/9
35/18
77/48
2/1
105/64
5/3
7/4
16/9
11/6
15/8
35/18
2/1


== 26-note scales ==
== 26-note scales ==
'''Mothra Detemper'''
===Mothra Detemper===
135/128
135/128
15/14
15/14
35/32
35/32
9/8
9/8
8/7
8/7
7/6
7/6
315/256
315/256
5/4
5/4
9/7
9/7
21/16
21/16
4/3
4/3
45/32
45/32
10/7
10/7
35/24
35/24
3/2
3/2
32/21
32/21
45/28
45/28
105/64
105/64
5/3
5/3
12/7
12/7
7/4
7/4
945/512
945/512
15/8
15/8
40/21
40/21
63/32
63/32
2/1
2/1


== 29-note scales ==
== 29-note scales ==
'''andromeda[29] detemper'''
===andromeda[29] detemper===
33/32
33/32
135/128
135/128
13/12
13/12
10/9
10/9
9/8
9/8
7/6
7/6
32/27
32/27
11/9
11/9
5/4
5/4
81/64
81/64
21/16
21/16
4/3
4/3
11/8
11/8
45/32
45/32
13/9
13/9
189/128
189/128
3/2
3/2
14/9
14/9
405/256
405/256
13/8
13/8
5/3
5/3
27/16
27/16
7/4
7/4
16/9
16/9
11/6
11/6
15/8
15/8
52/27
52/27
63/32
63/32
2/1
2/1


== 31-note scales ==
== 31-note scales ==
'''Otonal Sevenice'''
===Otonal Sevenice===
36/35
36/35
21/20
21/20
15/14
15/14
35/32
35/32
9/8
9/8
8/7
8/7
7/6
7/6
6/5
6/5
128/105
128/105
5/4
5/4
9/7
9/7
21/16
21/16
4/3
4/3
48/35
48/35
7/5
7/5
10/7
10/7
35/24
35/24
3/2
3/2
32/21
32/21
63/40
63/40
8/5
8/5
105/64
105/64
5/3
5/3
12/7
12/7
7/4
7/4
9/5
9/5
64/35
64/35
15/8
15/8
40/21
40/21
63/32
63/32
2/1
2/1
 
===Utonal Sevenice===
'''Utonal Sevenice'''
36/35
36/35
21/20
21/20
15/14
15/14
35/32
35/32
9/8
9/8
8/7
8/7
7/6
7/6
6/5
6/5
315/256
315/256
5/4
5/4
9/7
9/7
21/16
21/16
4/3
4/3
48/35
48/35
7/5
7/5
10/7
10/7
35/24
35/24
3/2
3/2
32/21
32/21
63/40
63/40
8/5
8/5
105/64
105/64
5/3
5/3
12/7
12/7
7/4
7/4
9/5
9/5
64/35
64/35
15/8
15/8
40/21
40/21
63/32
63/32
2/1
2/1
===Ringer 31p===
 
39/38
'''Ringer 31p'''
20/19
39/38
41/38
20/19
21/19
41/38
43/38
21/19
22/19
43/38
45/38
22/19
23/19
45/38
47/38
23/19
24/19
47/38
49/38
24/19
25/19
49/38
51/38
25/19
26/19
51/38
27/19
26/19
55/38
27/19
28/19
55/38
3/2
28/19
29/19
3/2
30/19
29/19
61/38
30/19
31/19
61/38
32/19
31/19
33/19
32/19
67/38
33/19
34/19
67/38
35/19
34/19
36/19
35/19
37/19
36/19
75/38
37/19
2/1
75/38
===Symmetrizine===
2/1
64/63
 
28/27
'''Symmetrizine'''
16/15
64/63
12/11
28/27
9/8
16/15
8/7
12/11
7/6
9/8
6/5
8/7
11/9
7/6
5/4
6/5
9/7
11/9
21/16
5/4
4/3
9/7
11/8
21/16
45/32
4/3
64/45
11/8
16/11
45/32
3/2
64/45
32/21
16/11
14/9
3/2
8/5
32/21
18/11
14/9
5/3
8/5
12/7
18/11
7/4
5/3
16/9
12/7
11/6
7/4
15/8
16/9
27/14
11/6
63/32
15/8
2/1
27/14
63/32
2/1


== 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
135/128
135/128
16/15
16/15
27/25
27/25
10/9
10/9
9/8
9/8
256/225
256/225
75/64
75/64
32/27
32/27
6/5
6/5
100/81
100/81
5/4
5/4
81/64
81/64
32/25
32/25
320/243
320/243
4/3
4/3
27/20
27/20
25/18
25/18
45/32
45/32
64/45
64/45
36/25
36/25
40/27
40/27
3/2
3/2
243/160
243/160
25/16
25/16
128/81
128/81
8/5
8/5
81/50
81/50
5/3
5/3
27/16
27/16
128/75
128/75
225/128
225/128
16/9
16/9
9/5
9/5
50/27
50/27
15/8
15/8
256/135
256/135
48/25
48/25
160/81
160/81
2/1
2/1
 
===46-tone septimal JI===
'''46-tone septimal JI'''
64/63
64/63
36/35
36/35
21/20
21/20
16/15
16/15
15/14
15/14
35/32
35/32
10/9
10/9
9/8
9/8
8/7
8/7
7/6
7/6
189/160
189/160
6/5
6/5
128/105
128/105
315/256
315/256
5/4
5/4
80/63
80/63
9/7
9/7
21/16
21/16
4/3
4/3
27/20
27/20
48/35
48/35
7/5
7/5
45/32
45/32
10/7
10/7
35/24
35/24
189/128
189/128
3/2
3/2
32/21
32/21
14/9
14/9
63/40
63/40
8/5
8/5
45/28
45/28
105/64
105/64
5/3
5/3
27/16
27/16
12/7
12/7
7/4
7/4
16/9
16/9
9/5
9/5
64/35
64/35
28/15
28/15
15/8
15/8
40/21
40/21
27/14
27/14
63/32
63/32
2/1
2/1
===53-tone Semantic Scale===
 
81/80
'''53-tone Semantic Scale'''
128/125
81/80
25/24
128/125
135/128
25/24
16/15
135/128
27/25
16/15
800/729
27/25
10/9
800/729
9/8
10/9
256/225
9/8
144/125
256/225
75/64
144/125
32/27
75/64
6/5
32/27
243/200
6/5
100/81
243/200
5/4
100/81
81/64
5/4
32/25
81/64
125/96
32/25
320/243
125/96
4/3
320/243
27/20
4/3
512/375
27/20
25/18
512/375
45/32
25/18
64/45
45/32
36/25
64/45
375/256
36/25
40/27
375/256
3/2
40/27
243/160
3/2
192/125
243/160
25/16
192/125
128/81
25/16
8/5
128/81
81/50
8/5
400/243
81/50
5/3
400/243
27/16
5/3
128/75
27/16
125/72
128/75
225/128
125/72
16/9
225/128
9/5
16/9
729/400
9/5
50/27
729/400
15/8
50/27
256/135
15/8
48/25
256/135
125/64
48/25
160/81
125/64
2/1
160/81
===Boston===
2/1
81/80
 
45/44
'''130-tone 13-limit JI'''
33/32
225/224
25/24
105/104
21/20
65/64
35/33
45/44
15/14
36/35
27/25
33/32
12/11
28/27
11/10
25/24
10/9
21/20
9/8
135/128
25/22
35/33
55/48
16/15
231/200
15/14
7/6
14/13
33/28
13/12
25/21
12/11
6/5
35/32
40/33
11/10
11/9
72/65
99/80
10/9
5/4
28/25
63/50
9/8
14/11
112/99
9/7
25/22
100/77
8/7
55/42
55/48
33/25
15/13
4/3
65/56
27/20
7/6
15/11
168/143
11/8
13/11
25/18
32/27
7/5
25/21
140/99
6/5
10/7
135/112
36/25
40/33
16/11
128/105
22/15
11/9
40/27
16/13
3/2
26/21
50/33
56/45
55/36
5/4
77/50
63/50
14/9
81/64
11/7
14/11
100/63
32/25
8/5
9/7
160/99
84/65
18/11
13/10
33/20
72/55
5/3
21/16
27/16
33/25
300/176
143/108
55/32
4/3
693/400
75/56
7/4
27/20
99/56
65/48
25/14
15/11
9/5
48/35
20/11
11/8
11/6
18/13
297/160
25/18
15/8
7/5
189/100
45/32
21/11
99/70
27/14
64/45
150/77
10/7
55/28
36/25
99/50
13/9
2/1
16/11
===130-tone 13-limit JI===
35/24
225/224
22/15
105/104
96/65
65/64
40/27
45/44
112/75
36/35
3/2
33/32
448/297
28/27
50/33
25/24
32/21
21/20
55/36
135/128
20/13
35/33
65/42
16/15
14/9
15/14
25/16
14/13
11/7
13/12
128/81
12/11
100/63
35/32
8/5
11/10
45/28
72/65
21/13
10/9
13/8
28/25
18/11
9/8
105/64
112/99
33/20
25/22
224/135
8/7
5/3
55/48
42/25
15/13
27/16
65/56
22/13
7/6
143/84
168/143
12/7
13/11
112/65
32/27
26/15
25/21
96/55
6/5
7/4
135/112
44/25
40/33
99/56
128/105
16/9
11/9
25/14
16/13
9/5
26/21
65/36
56/45
20/11
5/4
64/35
63/50
11/6
81/64
24/13
14/11
13/7
32/25
28/15
9/7
15/8
84/65
66/35
13/10
256/135
72/55
40/21
21/16
48/25
33/25
27/14
143/108
64/33
4/3
35/18
75/56
49/25
27/20
63/32
65/48
99/50
15/11
143/72
48/35
2/1
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

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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