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Table of 31edo intervals: Difference between revisions

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Below is a table of (important) [[31edo/Individual degrees|intervals]] consistently represented in [[31edo]]. Intervals are found significantly, though not exclusively, in the 2.3.5.7.11.23 and 2.5.7.13.17.19.29.31 subgroups.
Below is a table of (important) [[31edo/Individual degrees|intervals]] consistently represented in [[31edo]]. Intervals are found significantly, though not exclusively, in the 2.3.5.7.11.23 and 2.5.7.13.17.19.29.31 subgroups.
{| class="wikitable"
{| class="wikitable"
|+
! Step
!Step
! Cents
!Cents
! 3-limit
!3-limit
! 5-limit
!5-limit
! 7-limit
!7-limit
! 11-limit
!11-limit
! 13-limit
!13-limit
! 17-limit
!17-limit
! 19-limit
!19-limit
! 23-limit
!23-limit
! 29-limit
!29-limit
! 31-limit
!31-limit
|-
|-
|1
| 1
|38.71
| 38.71
|
|  
|128/125
| 128/125
|36/35, 49/48, <br>50/49, 64/63
| 36/35, 49/48, <br />50/49, 64/63
|33/32, 45/44, <br>55/54, 56/55
| 33/32, 45/44, <br />55/54, 56/55
|40/39, 65/64
| 40/39, 65/64
|35/34
| 35/34
|39/38
| 39/38
|46/45
| 46/45
|
|  
|32/31
| 32/31
|-
|-
|2
| 2
|77.42
| 77.42
|
|  
|25/24
| 25/24
|21/20, 28/27
| 21/20, 28/27
|22/21
| 22/21
|
|  
|68/65
| 68/65
|20/19
| 20/19
|23/22
| 23/22
|
|  
|
|  
|-
|-
|3
| 3
|116.13
| 116.13
|
|  
|16/15
| 16/15
|15/14
| 15/14
|77/72, 128/121
| 77/72, 128/121
|14/13
| 14/13
|17/16
| 17/16
|
|  
|
|  
|
|  
|31/29
| 31/29
|-
|-
|4
| 4
|154.84
| 154.84
|
|  
|
|  
|35/32
| 35/32
|12/11, 11/10
| 12/11, 11/10
|(13/12)
| (13/12)
|
|  
|
|  
|23/21
| 23/21
|32/29
| 32/29
|
|  
|-
|-
|5
| 5
|193.55
| 193.55
|9/8
| 9/8
|10/9
| 10/9
|28/25
| 28/25
|55/49
| 55/49
|(39/35)
| (39/35)
|
|  
|19/17
| 19/17
|
|  
|29/26
| 29/26
|
|  
|-
|-
|6
| 6
|232.26
| 232.26
|
|  
|144/125
| 144/125
|8/7
| 8/7
|25/22, 55/48
| 25/22, 55/48
|15/13
| 15/13
|17/15
| 17/15
|
|  
|
|  
|
|  
|
|  
|-
|-
|7
| 7
|270.97
| 270.97
|
|  
|75/64
| 75/64
|7/6
| 7/6
|64/55
| 64/55
|
|  
|20/17
| 20/17
|
|  
|
|  
|
|  
|
|  
|-
|-
|8
| 8
|309.68
| 309.68
|32/27
| 32/27
|6/5
| 6/5
|25/21
| 25/21
|77/64
| 77/64
|
|  
|
|  
|19/16
| 19/16
|
|  
|
|  
|
|  
|-
|-
|9
| 9
|348.39
| 348.39
|
|  
|
|  
|49/40
| 49/40
|11/9, 27/22
| 11/9, 27/22
|16/13, 39/32
| 16/13, 39/32
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|10
| 10
|387.1
| 387.1
|
|  
|5/4
| 5/4
|
|  
|96/77
| 96/77
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|11
| 11
|425.81
| 425.81
|
|  
|32/25
| 32/25
|9/7
| 9/7
|14/11
| 14/11
|
|  
|
|  
|
|  
|23/18
| 23/18
|
|  
|
|  
|-
|-
|12
| 12
|464.52
| 464.52
|
|  
|125/96
| 125/96
|21/16, 64/49
| 21/16, 64/49
|33/25
| 33/25
|13/10
| 13/10
|17/13
| 17/13
|
|  
|
|  
|
|  
|
|  
|-
|-
|13
| 13
|503.23
| 503.23
|4/3
| 4/3
|27/20
| 27/20
|
|  
|162/121
| 162/121
|35/26
| 35/26
|85/64
| 85/64
|128/95
| 128/95
|
|  
|
|  
|
|  
|-
|-
|14
| 14
|541.94
| 541.94
|
|  
|
|  
|48/35, 49/36
| 48/35, 49/36
|11/8, 15/11
| 11/8, 15/11
|
|  
|
|  
|26/19
| 26/19
|
|  
|
|  
|
|  
|-
|-
|15
| 15
|580.65
| 580.65
|
|  
|45/32, 25/18
| 45/32, 25/18
|7/5
| 7/5
|108/77
| 108/77
|
|  
|24/17
| 24/17
|
|  
|32/23
| 32/23
|
|  
|
|  
|-
|-
|16
| 16
|619.35
| 619.35
|
|  
|64/45, 36/25
| 64/45, 36/25
|10/7
| 10/7
|77/54
| 77/54
|
|  
|17/12
| 17/12
|
|  
|23/16
| 23/16
|
|  
|
|  
|-
|-
|17
| 17
|658.06
| 658.06
|
|  
|
|  
|35/24, 72/49
| 35/24, 72/49
|16/11, 22/15
| 16/11, 22/15
|
|  
|
|  
|19/13
| 19/13
|
|  
|
|  
|
|  
|-
|-
|18
| 18
|696.77
| 696.77
|3/2
| 3/2
|40/27
| 40/27
|
|  
|121/81
| 121/81
|52/35
| 52/35
|128/85
| 128/85
|95/64
| 95/64
|
|  
|
|  
|
|  
|-
|-
|19
| 19
|735.48
| 735.48
|
|  
|192/125
| 192/125
|32/21, 49/32
| 32/21, 49/32
|50/33
| 50/33
|20/13
| 20/13
|26/17
| 26/17
|
|  
|
|  
|
|  
|
|  
|-
|-
|20
| 20
|774.19
| 774.19
|
|  
|25/16
| 25/16
|14/9
| 14/9
|11/7
| 11/7
|
|  
|
|  
|
|  
|36/23
| 36/23
|
|  
|
|  
|-
|-
|21
| 21
|812.9
| 812.9
|
|  
|8/5
| 8/5
|
|  
|77/48
| 77/48
|
|  
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|22
| 22
|851.61
| 851.61
|
|  
|
|  
|49/30
| 49/30
|18/11, 44/27
| 18/11, 44/27
|13/8, 64/39
| 13/8, 64/39
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|23
| 23
|890.32
| 890.32
|27/16
| 27/16
|5/3
| 5/3
|42/25
| 42/25
|128/77
| 128/77
|
|  
|
|  
|32/19
| 32/19
|
|  
|
|  
|
|  
|-
|-
|24
| 24
|929.03
| 929.03
|
|  
|128/75
| 128/75
|12/7
| 12/7
|55/32
| 55/32
|
|  
|17/10
| 17/10
|
|  
|
|  
|
|  
|
|  
|-
|-
|25
| 25
|967.74
| 967.74
|
|  
|125/72
| 125/72
|7/4
| 7/4
|96/55
| 96/55
|26/15
| 26/15
|30/17
| 30/17
|
|  
|
|  
|
|  
|
|  
|-
|-
|26
| 26
|1006.45
| 1006.45
|16/9
| 16/9
|9/5
| 9/5
|25/14
| 25/14
|98/55
| 98/55
|
|  
|
|  
|
|  
|
|  
|52/29
| 52/29
|
|  
|-
|-
|27
| 27
|1045.16
| 1045.16
|
|  
|
|  
|64/35
| 64/35
|11/6, 20/11
| 11/6, 20/11
|24/13
| 24/13
|
|  
|
|  
|42/23
| 42/23
|29/16
| 29/16
|
|  
|-
|-
|28
| 28
|1083.87
| 1083.87
|
|  
|15/8
| 15/8
|28/15
| 28/15
|144/77, 121/64
| 144/77, 121/64
|13/7
| 13/7
|32/17
| 32/17
|
|  
|
|  
|
|  
|58/31
| 58/31
|-
|-
|29
| 29
|1122.58
| 1122.58
|
|  
|48/25
| 48/25
|27/14, 40/21
| 27/14, 40/21
|21/11
| 21/11
|
|  
|65/34
| 65/34
|19/10
| 19/10
|44/23
| 44/23
|
|  
|
|  
|-
|-
|30
| 30
|1161.29
| 1161.29
|
|  
|125/64
| 125/64
|49/25, 35/18
| 49/25, 35/18
|88/45, 64/33
| 88/45, 64/33
|39/20
| 39/20
|
|  
|
|  
|45/23
| 45/23
|
|  
|31/16
| 31/16
|-
|-
|31
| 31
|1200
| 1200
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|2/1
| 2/1
|}
<includeonly>
{{Navbar table|cols=12|Table of 31edo intervals}}
</includeonly>
|}<noinclude>
[[Category:31edo]]
[[Category:31edo]]
[[Category:Tables of edo intervals]]
[[Category:Tables of edo intervals]]
</noinclude>
Retrieved from "https://en.xen.wiki/w/Table_of_31edo_intervals"