User:Tristanbay/Gallery of just intonation scales

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< User:Tristanbay
Revision as of 04:43, 4 January 2026 by Tristanbay (talk | contribs) (Created gallery of JI scales (expanded from my user page))
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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

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

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

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