Table of 72edo intervals: Difference between revisions

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{| class="wikitable"
A table of the [[interval]]s available in [[72edo]].
 
{| class="wikitable center-all"
|-
|-
| | Step
! #
| | Five limit
! 5-limit
| | Seven limit
! 7-limit
| | Eleven limit
! 11-limit
| | Thirteen limit
! 13-limit
|-
|-
| | 1
| 1
| | 81/80
| 81/80
| | 81/80
| 81/80
| | 81/80
| 81/80
| | 65/64
| 65/64
|-
|-
| | 2
| 2
| | 2048/2025
| 2048/2025
| | 49/48
| 49/48
| | 45/44
| 45/44
| | 45/44
| 45/44
|-
|-
| | 3
| 3
| | 128/125
| 128/125
| | 36/35
| 36/35
| | 33/32
| 33/32
| | 33/32
| 33/32
|-
|-
| | 4
| 4
| | 25/24
| 25/24
| | 25/24
| 25/24
| | 25/24
| 25/24
| | 25/24
| 25/24
|-
|-
| | 5
| 5
| | 135/128
| 135/128
| | 21/20
| 21/20
| | 21/20
| 21/20
| | 21/20
| 21/20
|-
|-
| | 6
| 6
| | 256/243
| 256/243
| | 200/189
| 200/189
| | 35/33
| 35/33
| | 35/33
| 35/33
|-
|-
| | 7
| 7
| | 16/15
| 16/15
| | 15/14
| 15/14
| | 15/14
| 15/14
| | 15/14
| 15/14
|-
|-
| | 8
| 8
| | 27/25
| 27/25
| | 27/25
| 27/25
| | 27/25
| 27/25
| | 13/12
| 13/12
|-
|-
| | 9
| 9
| | 1125/1024
| 1125/1024
| | 35/32
| 35/32
| | 12/11
| 12/11
| | 12/11
| 12/11
|-
|-
| | 10
| 10
| | 800/729
| 800/729
| | 54/49
| 54/49
| | 11/10
| 11/10
| | 11/10
| 11/10
|-
|-
| | 11
| 11
| | 10/9
| 10/9
| | 10/9
| 10/9
| | 10/9
| 10/9
| | 10/9
| 10/9
|-
|-
| | 12
| 12
| | 9/8
| 9/8
| | 9/8
| 9/8
| | 9/8
| 9/8
| | 9/8
| 9/8
|-
|-
| | 13
| 13
| | 729/640
| 729/640
| | 245/216
| 245/216
| | 25/22
| 25/22
| | 25/22
| 25/22
|-
|-
| | 14
| 14
| | 256/225
| 256/225
| | 8/7
| 8/7
| | 8/7
| 8/7
| | 8/7
| 8/7
|-
|-
| | 15
| 15
| | 125/108
| 125/108
| | 81/70
| 81/70
| | 81/70
| 81/70
| | 15/13
| 15/13
|-
|-
| | 16
| 16
| | 75/64
| 75/64
| | 7/6
| 7/6
| | 7/6
| 7/6
| | 7/6
| 7/6
|-
|-
| | 17
| 17
| | 1215/1024
| 1215/1024
| | 147/125
| 147/125
| | 33/28
| 33/28
| | 13/11
| 13/11
|-
|-
| | 18
| 18
| | 32/27
| 32/27
| | 25/21
| 25/21
| | 25/21
| 25/21
| | 25/21
| 25/21
|-
|-
| | 19
| 19
| | 6/5
| 6/5
| | 6/5
| 6/5
| | 6/5
| 6/5
| | 6/5
| 6/5
|-
|-
| | 20
| 20
| | 243/200
| 243/200
| | 98/81
| 98/81
| | 40/33
| 40/33
| | 39/32
| 39/32
|-
|-
| | 21
| 21
| | 4096/3375
| 4096/3375
| | 49/40
| 49/40
| | 11/9
| 11/9
| | 11/9
| 11/9
|-
|-
| | 22
| 22
| | 100/81
| 100/81
| | 100/81
| 100/81
| | 99/80
| 99/80
| | 16/13
| 16/13
|-
|-
| | 23
| 23
| | 5/4
| 5/4
| | 5/4
| 5/4
| | 5/4
| 5/4
| | 5/4
| 5/4
|-
|-
| | 24
| 24
| | 81/64
| 81/64
| | 63/50
| 63/50
| | 44/35
| 44/35
| | 44/35
| 44/35
|-
|-
| | 25
| 25
| | 512/405
| 512/405
| | 80/63
| 80/63
| | 14/11
| 14/11
| | 14/11
| 14/11
|-
|-
| | 26
| 26
| | 32/25
| 32/25
| | 9/7
| 9/7
| | 9/7
| 9/7
| | 9/7
| 9/7
|-
|-
| | 27
| 27
| | 125/96
| 125/96
| | 35/27
| 35/27
| | 35/27
| 35/27
| | 13/10
| 13/10
|-
|-
| | 28
| 28
| | 675/512
| 675/512
| | 21/16
| 21/16
| | 21/16
| 21/16
| | 21/16
| 21/16
|-
|-
| | 29
| 29
| | 320/243
| 320/243
| | 250/189
| 250/189
| | 33/25
| 33/25
| | 33/25
| 33/25
|-
|-
| | 30
| 30
| | 4/3
| 4/3
| | 4/3
| 4/3
| | 4/3
| 4/3
| | 4/3
| 4/3
|-
|-
| | 31
| 31
| | 27/20
| 27/20
| | 27/20
| 27/20
| | 27/20
| 27/20
| | 27/20
| 27/20
|-
|-
| | 32
| 32
| | 2187/1600
| 2187/1600
| | 49/36
| 49/36
| | 15/11
| 15/11
| | 15/11
| 15/11
|-
|-
| | 33
| 33
| | 512/375
| 512/375
| | 48/35
| 48/35
| | 11/8
| 11/8
| | 11/8
| 11/8
|-
|-
| | 34
| 34
| | 25/18
| 25/18
| | 25/18
| 25/18
| | 25/18
| 25/18
| | 18/13
| 18/13
|-
|-
| | 35
| 35
| | 45/32
| 45/32
| | 7/5
| 7/5
| | 7/5
| 7/5
| | 7/5
| 7/5
|-
|-
| | 36
| 36
| | 729/512
| 729/512
| | 343/243
| 343/243
| | 99/70
| 99/70
| | 55/39
| 55/39
|-
|-
| | 37
| 37
| | 64/45
| 64/45
| | 10/7
| 10/7
| | 10/7
| 10/7
| | 10/7
| 10/7
|-
|-
| | 38
| 38
| | 36/25
| 36/25
| | 36/25
| 36/25
| | 36/25
| 36/25
| | 13/9
| 13/9
|-
|-
| | 39
| 39
| | 375/256
| 375/256
| | 35/24
| 35/24
| | 16/11
| 16/11
| | 16/11
| 16/11
|-
|-
| | 40
| 40
| | 3200/2187
| 3200/2187
| | 72/49
| 72/49
| | 22/15
| 22/15
| | 22/15
| 22/15
|-
|-
| | 41
| 41
| | 40/27
| 40/27
| | 40/27
| 40/27
| | 40/27
| 40/27
| | 40/27
| 40/27
|-
|-
| | 42
| 42
| | 3/2
| 3/2
| | 3/2
| 3/2
| | 3/2
| 3/2
| | 3/2
| 3/2
|-
|-
| | 43
| 43
| | 243/160
| 243/160
| | 189/125
| 189/125
| | 50/33
| 50/33
| | 50/33
| 50/33
|-
|-
| | 44
| 44
| | 1024/675
| 1024/675
| | 32/21
| 32/21
| | 32/21
| 32/21
| | 32/21
| 32/21
|-
|-
| | 45
| 45
| | 125/81
| 125/81
| | 54/35
| 54/35
| | 54/35
| 54/35
| | 20/13
| 20/13
|-
|-
| | 46
| 46
| | 25/16
| 25/16
| | 14/9
| 14/9
| | 14/9
| 14/9
| | 14/9
| 14/9
|-
|-
| | 47
| 47
| | 405/256
| 405/256
| | 63/40
| 63/40
| | 11/7
| 11/7
| | 11/7
| 11/7
|-
|-
| | 48
| 48
| | 128/81
| 128/81
| | 100/63
| 100/63
| | 35/22
| 35/22
| | 35/22
| 35/22
|-
|-
| | 49
| 49
| | 8/5
| 8/5
| | 8/5
| 8/5
| | 8/5
| 8/5
| | 8/5
| 8/5
|-
|-
| | 50
| 50
| | 81/50
| 81/50
| | 81/50
| 81/50
| | 81/50
| 81/50
| | 13/8
| 13/8
|-
|-
| | 51
| 51
| | 3375/2048
| 3375/2048
| | 49/30
| 49/30
| | 18/11
| 18/11
| | 18/11
| 18/11
|-
|-
| | 52
| 52
| | 400/243
| 400/243
| | 81/49
| 81/49
| | 33/20
| 33/20
| | 33/20
| 33/20
|-
|-
| | 53
| 53
| | 5/3
| 5/3
| | 5/3
| 5/3
| | 5/3
| 5/3
| | 5/3
| 5/3
|-
|-
| | 54
| 54
| | 27/16
| 27/16
| | 27/16
| 27/16
| | 27/16
| 27/16
| | 27/16
| 27/16
|-
|-
| | 55
| 55
| | 2048/1215
| 2048/1215
| | 245/144
| 245/144
| | 56/33
| 56/33
| | 22/13
| 22/13
|-
|-
| | 56
| 56
| | 128/75
| 128/75
| | 12/7
| 12/7
| | 12/7
| 12/7
| | 12/7
| 12/7
|-
|-
| | 57
| 57
| | 125/72
| 125/72
| | 125/72
| 125/72
| | 121/70
| 121/70
| | 26/15
| 26/15
|-
|-
| | 58
| 58
| | 225/128
| 225/128
| | 7/4
| 7/4
| | 7/4
| 7/4
| | 7/4
| 7/4
|-
|-
| | 59
| 59
| | 1280/729
| 1280/729
| | 432/245
| 432/245
| | 44/25
| 44/25
| | 39/22
| 39/22
|-
|-
| | 60
| 60
| | 16/9
| 16/9
| | 16/9
| 16/9
| | 16/9
| 16/9
| | 16/9
| 16/9
|-
|-
| | 61
| 61
| | 9/5
| 9/5
| | 9/5
| 9/5
| | 9/5
| 9/5
| | 9/5
| 9/5
|-
|-
| | 62
| 62
| | 729/400
| 729/400
| | 49/27
| 49/27
| | 20/11
| 20/11
| | 20/11
| 20/11
|-
|-
| | 63
| 63
| | 2048/1125
| 2048/1125
| | 64/35
| 64/35
| | 11/6
| 11/6
| | 11/6
| 11/6
|-
|-
| | 64
| 64
| | 50/27
| 50/27
| | 50/27
| 50/27
| | 50/27
| 50/27
| | 13/7
| 13/7
|-
|-
| | 65
| 65
| | 15/8
| 15/8
| | 15/8
| 15/8
| | 15/8
| 15/8
| | 15/8
| 15/8
|-
|-
| | 66
| 66
| | 243/128
| 243/128
| | 189/100
| 189/100
| | 66/35
| 66/35
| | 49/26
| 49/26
|-
|-
| | 67
| 67
| | 256/135
| 256/135
| | 40/21
| 40/21
| | 21/11
| 21/11
| | 21/11
| 21/11
|-
|-
| | 68
| 68
| | 48/25
| 48/25
| | 27/14
| 27/14
| | 27/14
| 27/14
| | 25/13
| 25/13
|-
|-
| | 69
| 69
| | 125/64
| 125/64
| | 35/18
| 35/18
| | 35/18
| 35/18
| | 35/18
| 35/18
|-
|-
| | 70
| 70
| | 2025/1024
| 2025/1024
| | 49/25
| 49/25
| | 49/25
| 49/25
| | 49/25
| 49/25
|-
|-
| | 71
| 71
| | 160/81
| 160/81
| | 125/63
| 125/63
| | 99/50
| 99/50
| | 77/39
| 77/39
|-
|-
| | 72
| 72
| | 2/1
| 2/1
| | 2/1
| 2/1
| | 2/1
| 2/1
| | 2/1
| 2/1
|}
|}


[[Category:Interval collection]]
[[Category:Tables of edo intervals]]
[[Category:72edo]]
[[Category:72edo]]

Latest revision as of 19:17, 10 April 2025

A table of the intervals available in 72edo.

# 5-limit 7-limit 11-limit 13-limit
1 81/80 81/80 81/80 65/64
2 2048/2025 49/48 45/44 45/44
3 128/125 36/35 33/32 33/32
4 25/24 25/24 25/24 25/24
5 135/128 21/20 21/20 21/20
6 256/243 200/189 35/33 35/33
7 16/15 15/14 15/14 15/14
8 27/25 27/25 27/25 13/12
9 1125/1024 35/32 12/11 12/11
10 800/729 54/49 11/10 11/10
11 10/9 10/9 10/9 10/9
12 9/8 9/8 9/8 9/8
13 729/640 245/216 25/22 25/22
14 256/225 8/7 8/7 8/7
15 125/108 81/70 81/70 15/13
16 75/64 7/6 7/6 7/6
17 1215/1024 147/125 33/28 13/11
18 32/27 25/21 25/21 25/21
19 6/5 6/5 6/5 6/5
20 243/200 98/81 40/33 39/32
21 4096/3375 49/40 11/9 11/9
22 100/81 100/81 99/80 16/13
23 5/4 5/4 5/4 5/4
24 81/64 63/50 44/35 44/35
25 512/405 80/63 14/11 14/11
26 32/25 9/7 9/7 9/7
27 125/96 35/27 35/27 13/10
28 675/512 21/16 21/16 21/16
29 320/243 250/189 33/25 33/25
30 4/3 4/3 4/3 4/3
31 27/20 27/20 27/20 27/20
32 2187/1600 49/36 15/11 15/11
33 512/375 48/35 11/8 11/8
34 25/18 25/18 25/18 18/13
35 45/32 7/5 7/5 7/5
36 729/512 343/243 99/70 55/39
37 64/45 10/7 10/7 10/7
38 36/25 36/25 36/25 13/9
39 375/256 35/24 16/11 16/11
40 3200/2187 72/49 22/15 22/15
41 40/27 40/27 40/27 40/27
42 3/2 3/2 3/2 3/2
43 243/160 189/125 50/33 50/33
44 1024/675 32/21 32/21 32/21
45 125/81 54/35 54/35 20/13
46 25/16 14/9 14/9 14/9
47 405/256 63/40 11/7 11/7
48 128/81 100/63 35/22 35/22
49 8/5 8/5 8/5 8/5
50 81/50 81/50 81/50 13/8
51 3375/2048 49/30 18/11 18/11
52 400/243 81/49 33/20 33/20
53 5/3 5/3 5/3 5/3
54 27/16 27/16 27/16 27/16
55 2048/1215 245/144 56/33 22/13
56 128/75 12/7 12/7 12/7
57 125/72 125/72 121/70 26/15
58 225/128 7/4 7/4 7/4
59 1280/729 432/245 44/25 39/22
60 16/9 16/9 16/9 16/9
61 9/5 9/5 9/5 9/5
62 729/400 49/27 20/11 20/11
63 2048/1125 64/35 11/6 11/6
64 50/27 50/27 50/27 13/7
65 15/8 15/8 15/8 15/8
66 243/128 189/100 66/35 49/26
67 256/135 40/21 21/11 21/11
68 48/25 27/14 27/14 25/13
69 125/64 35/18 35/18 35/18
70 2025/1024 49/25 49/25 49/25
71 160/81 125/63 99/50 77/39
72 2/1 2/1 2/1 2/1
Retrieved from "https://en.xen.wiki/index.php?title=Table_of_72edo_intervals&oldid=190692"