Misty family: Difference between revisions
m Marking this. In 17-limit a comma is missing. Edo list is also inconvincing |
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The misty family tempers out the [[misty comma]], 67108864/66430125 = |26 -12 -3 | The '''misty family''' tempers out the [[misty comma]], 67108864/66430125 = {{monzo|26 -12 -3}}. | ||
=Misty= | = Misty = | ||
Comma: 67108864/66430125 = |26 -12 -3 | Comma: 67108864/66430125 = {{monzo|26 -12 -3}} | ||
POTE generator: ~3/2 = 703.111 | POTE generator: ~3/2 = 703.111 | ||
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Badness: 0.1065 | Badness: 0.1065 | ||
= 7-limit = | |||
{{see also|Hemimean clan #Misty}} | {{see also|Hemimean clan #Misty}} | ||
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EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]] | EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]] | ||
==11-limit== | == 11-limit == | ||
Commas: 441/440, 3136/3125, 4375/4356 | Commas: 441/440, 3136/3125, 4375/4356 | ||
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EDOs: 12, 87, 99, 186 | EDOs: 12, 87, 99, 186 | ||
==13-limit== | === 13-limit === | ||
Commas: 196/195, 352/351, 364/363, 635/624 | Commas: 196/195, 352/351, 364/363, 635/624 | ||
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EDOs: 12, 87, 273 | EDOs: 12, 87, 273 | ||
= | ==== 17-limit ==== | ||
==17-limit== | |||
Commas: 196/195, 352/351, 364/363, 635/624 | Commas: 196/195, 352/351, 364/363, 635/624 | ||
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EDOs: 12, 87, 186 | EDOs: 12, 87, 186 | ||
==19-limit== | ==== 19-limit ==== | ||
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324 | Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324 | ||
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EDOs: 12, 87, 186 | EDOs: 12, 87, 186 | ||
=Hemimist= | === Mystic === | ||
Commas: 325/324, 441/440, 896/891, 1001/1000 | |||
[[POTE_tuning|POTE generator]]: 703.311 | |||
Map: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|] | |||
EDOs: 12, 87, 273 | |||
== Hemimist == | |||
Commas: 3136/3125, 5120/5103, 3025/3024 | Commas: 3136/3125, 5120/5103, 3025/3024 | ||
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Badness: 0.0474 | Badness: 0.0474 | ||
==13-limit== | === 13-limit === | ||
Commas: 352/351, 676/675, 847/845, 3025/3024 | Commas: 352/351, 676/675, 847/845, 3025/3024 | ||
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[[Category:Todo:review]] | [[Category:Todo:review]] | ||
Revision as of 08:37, 24 October 2020
The misty family tempers out the misty comma, 67108864/66430125 = [26 -12 -3⟩.
Misty
Comma: 67108864/66430125 = [26 -12 -3⟩
POTE generator: ~3/2 = 703.111
Map: [<3 0 26|, <0 1 -4|]
EDOs: 12, 51, 63, 75, 87, 99, 285, 384
Badness: 0.1065
7-limit
Commas: 3136/3125, 5120/5103
POTE generator: 703.021
Map: [<3 0 26 56|, <0 1 -4 -10|]
Wedgie: <<3 -12 -30 -26 -56 -36||
11-limit
Commas: 441/440, 3136/3125, 4375/4356
POTE generator: 703.210
Map: [<3 0 26 56 77|, <0 1 -4 -10 -14|]
EDOs: 12, 87, 99, 186
13-limit
Commas: 196/195, 352/351, 364/363, 635/624
POTE generator: 703.303
Map: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|]
EDOs: 12, 87, 273
17-limit
Commas: 196/195, 352/351, 364/363, 635/624
POTE generator: 703.233
Map: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|]
EDOs: 12, 87, 186
19-limit
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324
POTE generator: 703.253
Map: [<3 0 26 56 77 92 -2 8|, <0 1 -4 -10 -14 -17 3 1|]
EDOs: 12, 87, 186
Mystic
Commas: 325/324, 441/440, 896/891, 1001/1000
POTE generator: 703.311
Map: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|]
EDOs: 12, 87, 273
Hemimist
Commas: 3136/3125, 5120/5103, 3025/3024
POTE generator: ~11/8 = 551.527
Map: [<3 0 26 56 8|, <0 2 -8 -20 1|]
EDOs: 15, 24, 87, 111, 198
Badness: 0.0474
13-limit
Commas: 352/351, 676/675, 847/845, 3025/3024
POTE generator: ~11/8 = 551.525
Map: [<3 0 26 56 8 23|, <0 2 -8 -20 1 -5|]
EDOs: 15, 24, 87, 111, 198
Badness: 0.0229