View source for User:Tristanbay/Gallery of just intonation scales

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>

=== 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
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
===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