Vector: Vector moved page Gallery of just intonation scales to User:Tristanbay/Gallery of just intonation scales

2026-01-04T08:34:45Z

Vector moved page Gallery of just intonation scales to User:Tristanbay/Gallery of just intonation scales

← Older revision	Revision as of 08:34, 4 January 2026
(No difference)

Inthar: /* 26:29:32:34:38:42:44:50:52 */

2026-01-04T06:23:55Z

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

← Older revision		Revision as of 06:23, 4 January 2026
Line 15:		Line 15:

	=== 26:29:32:34:38:42:44:50:52 ===		=== 26:29:32:34:38:42:44:50:52 ===
	<pre>26~~:29:32:34:38:42:44:50:52~~</pre>		<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===		===24:27:28:30:33:36:39:42:45:48===

Inthar: /* Boutique scales (less than 12 notes) */

2026-01-04T06:22:56Z

Boutique scales (less than 12 notes)

← Older revision		Revision as of 06:22, 4 January 2026
Line 13:		Line 13:
	15/8		15/8
	2/1</pre>		2/1</pre>

			=== 26:29:32:34:38:42:44:50:52 ===
			<pre>26:29:32:34:38:42:44:50:52</pre>

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

Tristanbay: Gave each scale their own section

2026-01-04T05:07:01Z

Gave each scale their own section

Show changes

Tristanbay: /* Large scales (greater than 31 notes) */ Added Boston scale

2026-01-04T04:59:01Z

Large scales (greater than 31 notes): Added Boston scale

@@ Line 1,481: / Line 1,481: @@
 /64
 /81
 /1
 '''130-tone 13-limit JI'''

Tristanbay: Formatting and named a scale

2026-01-04T04:52:26Z

Formatting and named a scale

Show changes

Tristanbay: Created gallery of JI scales (expanded from my user page)

2026-01-04T04:43:56Z

Created gallery of JI scales (expanded from my user page)

New page

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'''
<pre>13/12
7/6
5/4
4/3
11/8
3/2
13/8
7/4
15/8
2/1</pre>

'''24:27:28:30:33:36:39:42:45:48'''
<pre>9/8
7/6
5/4
11/8
3/2
13/8
7/4
15/8
2/1</pre>

'''60:63:64:70:80:84:96:105:120'''
<pre>35/32
5/4
21/16
4/3
35/24
5/3
7/4
2/1</pre>

'''56:60:64:70:84:90:96:105:112'''
<pre>35/32
7/6
5/4
4/3
35/24
7/4
15/8
2/1</pre>

'''18:20:22:24:27:30:33:36'''
<pre>10/9
11/9
4/3
3/2
5/3
11/6
2/1</pre>

'''14:16:18:20:21:24:27:28'''
<pre>8/7
9/7
10/7
3/2
12/7
27/14
2/1</pre>

'''27:28:33:36:39:42:45:54'''
<pre>28/27
11/9
4/3
13/9
14/9
5/3
2/1</pre>

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

'''56:60:64:70:72:80:84:90:96:105:112'''
<pre>15/14
8/7
5/4
9/7
10/7
3/2
45/28
12/7
15/8
2/1</pre>

'''52:58:64:71:78:86:95:104'''
<pre>71/64
39/32
43/32
95/64
13/8
29/16
2/1</pre>

'''48:52:58:64:72:78:87:96'''
<pre>13/12
29/24
4/3
3/2
13/8
29/16
2/1</pre>

'''33:36:40:42:44:48:54:60:63:66'''
<pre>12/11
40/33
14/11
4/3
16/11
18/11
20/11
21/11
2/1</pre>

'''720:780:840:910:945:1008:1092:1170:1260:1365:1440'''
<pre>13/12
7/6
91/72
21/16
7/5
91/60
13/8
7/4
91/48
2/1</pre>

== 12-note scales ==
'''Antitonic 17-limit'''
<pre>17/16
39/32
5/4
21/16
11/8
3/2
51/32
13/8
5/3
7/4
11/6
2/1</pre>

'''Bicycle'''
<pre>13/12
9/8
7/6
5/4
4/3
11/8
3/2
13/8
5/3
7/4
11/6
2/1</pre>

'''Duodene'''
<pre>16/15
9/8
6/5
5/4
4/3
45/32
3/2
8/5
5/3
9/5
15/8
2/1</pre>

'''Septimal Catgirl'''
<pre>28/27
9/8
7/6
5/4
4/3
45/32
3/2
14/9
5/3
7/4
15/8
2/1</pre>

'''North Dakota'''
<pre>33/32
10/9
7/6
5/4
4/3
11/8
3/2
14/9
5/3
7/4
11/6
2/1</pre>

'''Johnston Piano Scale (Ringer 12)'''
<pre>15/14
8/7
17/14
9/7
19/14
10/7
3/2
11/7
12/7
13/7
27/14
2/1</pre>

'''Ephemeral Soup Scale'''
<pre>77/72
9/8
77/64
21/16
693/512
189/128
3/2
77/48
7/4
231/128
63/32
2/1</pre>

'''Once Upon A Time Scale'''
<pre>10/9
9/8
5/4
9/7
21/16
35/24
3/2
5/3
12/7
7/4
35/18
2/1</pre>

'''Centaur'''
<pre>21/20
9/8
7/6
5/4
4/3
7/5
3/2
14/9
5/3
7/4
15/8
2/1</pre>

'''Pental Diachrome'''
<pre>10/9
9/8
5/4
81/64
4/3
40/27
3/2
5/3
27/16
15/8
160/81
2/1</pre>

'''Margo Scale'''
<pre>104/99
9/8
13/11
14/11
4/3
63/44
3/2
52/33
56/33
16/9
21/11
2/1</pre>

'''Meta-Slendro'''
<pre>50/49
8/7
57/49
64/49
65/49
72/49
74/49
151/98
12/7
86/49
96/49
2/1</pre>

'''Succulent Undecimal Scale'''
<pre>10/9
7/6
5/4
21/16
4/3
11/8
3/2
5/3
7/4
16/9
11/6
2/1</pre>

== 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

'''cheen detempering'''
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

'''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