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In 53edo, the [[7-limit]] is well-approximated, and especially the 5- and 3-limits. On this page, we will analyze the approximations and structures of 53edo in the 7-limit.
In 53edo, the [[7-limit]] is well-approximated, and especially the 5- and 3-limits. On this page, we will analyze the approximations and structures of 53edo in the 7-limit.
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible"
|+ Intervals of 53edo
|+ Intervals of 53edo
! Steps
! Steps
Line 12: Line 12:
| 1
| 1
| 22.642
| 22.642
| 1/1
| 81/80, 64/63, 50/49, 531441/524288
|-
|-
| 2
| 2
| 45.283
| 45.283
| 1/1
| 49/48, 128/125, ...
|-
|-
| 3
| 3
| 67.925
| 67.925
| 1/1
| 28/27, 25/24
|-
|-
| 4
| 4
| 90.566
| 90.566
| 1/1
| 256/243, 21/20
|-
|-
| 5
| 5
| 113.208
| 113.208
| 1/1
| 16/15, 15/14, 2187/2048
|-
|-
| 6
| 6
| 135.849
| 135.849
| 1/1
| 27/25,
|-
|-
| 7
| 7
| 158.491
| 158.491
| 1/1
|  
|-
|-
| 8
| 8
| 181.132
| 181.132
| 1/1
| 10/9
|-
|-
| 9
| 9
| 203.774
| 203.774
| 1/1
| 9/8
|-
|-
| 10
| 10
| 226.415
| 226.415
| 1/1
| 8/7
|-
|-
| 11
| 11
| 249.057
| 249.057
| 1/1
|  
|-
|-
| 12
| 12
| 271.698
| 271.698
| 1/1
| 7/6, 75/64
|-
|-
| 13
| 13
| 294.340
| 294.340
| 1/1
| 32/27
|-
|-
| 14
| 14
| 316.981
| 316.981
| 1/1
| 6/5
|-
|-
| 15
| 15
| 339.623
| 339.623
| 1/1
|  
|-
|-
| 16
| 16
| 362.264
| 362.264
| 1/1
|  
|-
|-
| 17
| 17
| 384.906
| 384.906
| 1/1
| 5/4
|-
|-
| 18
| 18
| 407.547
| 407.547
| 1/1
| 81/64
|-
|-
| 19
| 19
| 430.189
| 430.189
| 1/1
| 9/7, 32/25
|-
|-
| 20
| 20
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