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User:Overthink/The 7-limit in 53edo: Difference between revisions

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; Development of this page is paused indefinitely. 171edo is much more interesting.
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.
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|+Interval table (middle)
|+Hemifamity interval table (middle)
|
|
|256/175
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|
|
|
Line 249: Line 251:
|
|
|
|
|
|256/245,
|256/245, 729/700
729/700
|384/245
|384/245
|
|
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|
|
|
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|512/343
|
|
|-
|-
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|27/25
|27/25
|81/50
|81/50
|128/105, 243/200
|128/105,
243/200
|64/35
|64/35
|48/35
|48/35
|36/35
|36/35
|54/35
|54/35
|81/70
|81/70,
|243/140, 256/147
|243/140,
256/147
|64/49
|64/49
|96/49
|96/49
Line 282: Line 286:
|9/5
|9/5
|27/20
|27/20
|64/63, 81/80
|64/63,
81/80
|32/21
|32/21
|8/7
|8/7
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|243/224
|243/224
|-
|-
|28/15
|28/15,
|7/5
4096/2187
|21/20
|7/5,
|63/40, 128/81
1024/729
|21/20,
256/243
|63/40,
128/81
|32/27
|32/27
|16/9
|16/9
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|9/8
|9/8
|27/16
|27/16
|81/64, 80/63
|80/63,
|40/21
81/64
|10/7
|40/21,
|15/14
243/128
|10/7,
729/512
|15/14,
2187/2048
|-
|-
|448/243
|448/243
Line 314: Line 327:
|7/4
|7/4
|21/16
|21/16
|63/32, 160/81
|63/32,
160/81
|40/27
|40/27
|10/9
|10/9
Line 327: Line 341:
|49/48
|49/48
|49/32
|49/32
|147/128, 280/243
|147/128,
280/243
|140/81
|140/81
|35/27
|35/27
Line 333: Line 348:
|35/24
|35/24
|35/32
|35/32
|105/64, 400/243
|105/64,
|315/256, 100/81
400/243
|315/256,
100/81
|50/27
|50/27
|25/18
|25/18
|25/24
|25/24
|-
|-
|
|343/192
|
|343/256,
|
980/729
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|1029/1024,
|
245/243
|
|245/162
|
|245/216
|245/128, 1400/729
|245/144
|
|245/192
|
|245/128,
|
1400/729
|
|735/512,
|
350/243
|
|175/162
|
|175/108
|175/144
|175/96
|175/128
|250/243,
525/512
|}
|}
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