Misty family: Difference between revisions

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Line 9: Line 9:
Map: [<3 0 26|, <0 1 -4|]
Map: [<3 0 26|, <0 1 -4|]


EDOs: 12, 51, 63, 75, 87, 99, 285, 384
EDOs: {{EDOs|12, 51, 63, 75, 87, 99, 285, 384}}


Badness: 0.1065
Badness: 0.1065
Line 18: Line 18:
Commas: 3136/3125, 5120/5103
Commas: 3136/3125, 5120/5103


[[POTE_tuning|POTE generator]]: 703.021
[[POTE_tuning|POTE generator]]: ~3/2 = 703.021


Map: [<3 0 26 56|, <0 1 -4 -10|]
Map: [<3 0 26 56|, <0 1 -4 -10|]
Line 24: Line 24:
Wedgie: <<3 -12 -30 -26 -56 -36||
Wedgie: <<3 -12 -30 -26 -56 -36||


EDOs: [[12edo|12]], [[87edo|87]], [[99edo|99]]
EDOs: {{EDOs|12, 87, 99}}


== 11-limit ==
== 11-limit ==
Commas: 441/440, 3136/3125, 4375/4356
Commas: 441/440, 3136/3125, 4375/4356


[[POTE_tuning|POTE generator]]: 703.210
[[POTE_tuning|POTE generator]]: ~3/2 = 703.210


Map: [<3 0 26 56 77|, <0 1 -4 -10 -14|]
Map: [<3 0 26 56 77|, <0 1 -4 -10 -14|]


EDOs: 12, 87, 99, 186
EDOs: {{EDOs|12, 87, 99e, 186e}}


=== 13-limit ===
=== 13-limit ===
Commas: 196/195, 352/351, 364/363, 635/624
Commas: 196/195, 352/351, 364/363, 625/624


[[POTE_tuning|POTE generator]]: 703.303
[[POTE_tuning|POTE generator]]: ~3/2 = 703.303


Map: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|]
Map: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|]


EDOs: 12, 87, 273
EDOs: {{EDOs|12f, 87, 99ef, 186ef, 273ef}}


==== 17-limit ====
==== 17-limit ====
Commas: 196/195, 352/351, 364/363, 635/624
Commas: 196/195, 352/351, 364/363, 375/374, 595/594


[[POTE_tuning|POTE generator]]: 703.233
[[POTE_tuning|POTE generator]]: ~3/2 = 703.233


Map: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|]
Map: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|]


EDOs: 12, 87, 186
EDOs: {{EDOs|12f, 87, 99ef, 186efg}}


==== 19-limit ====
==== 19-limit ====
Commas: 154/153, 196/195, 245/243, 273/272, 286/285, 325/324
Commas: 196/195, 210/209, 352/351, 364/363, 375/374, 595/594


[[POTE_tuning|POTE generator]]: 703.253
[[POTE_tuning|POTE generator]]: ~3/2 = 703.253


Map: [<3 0 26 56 77 92 -2 8|, <0 1 -4 -10 -14 -17 3 1|]
Map: [<3 0 26 56 77 92 -2 8|, <0 1 -4 -10 -14 -17 3 1|]


EDOs: 12, 87, 186
EDOs: {{EDOs|12f, 87, 99ef, 186efgh}}


=== Mystic ===
=== Mystic ===
Commas: 325/324, 441/440, 896/891, 1001/1000
Commas: 325/324, 441/440, 896/891, 1001/1000


[[POTE_tuning|POTE generator]]: 703.311
[[POTE_tuning|POTE generator]]: ~3/2 = 703.311


Map: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|]
Map: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|]


EDOs: 12, 87, 273
EDOs: {{EDOs|12, 87, 186e, 273e}}


== Hemimist ==
== Hemimist ==
Line 78: Line 78:
Map: [<3 0 26 56 8|, <0 2 -8 -20 1|]
Map: [<3 0 26 56 8|, <0 2 -8 -20 1|]


EDOs: 15, 24, 87, 111, 198
EDOs: {{EDOs|24d, 87, 111, 198}}


Badness: 0.0474
Badness: 0.0474
Line 89: Line 89:
Map: [<3 0 26 56 8 23|, <0 2 -8 -20 1 -5|]
Map: [<3 0 26 56 8 23|, <0 2 -8 -20 1 -5|]


EDOs: 15, 24, 87, 111, 198
EDOs: {{EDOs|24d, 87, 111, 198}}


Badness: 0.0229
Badness: 0.0229
Line 96: Line 96:
[[Category:Temperament family]]
[[Category:Temperament family]]
[[Category:Misty]]
[[Category:Misty]]
 
[[Category:Rank 2]]
[[Category:Todo:review]]

Revision as of 09:04, 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

See also: Hemimean clan § Misty

Commas: 3136/3125, 5120/5103

POTE generator: ~3/2 = 703.021

Map: [<3 0 26 56|, <0 1 -4 -10|]

Wedgie: <<3 -12 -30 -26 -56 -36||

EDOs: 12, 87, 99

11-limit

Commas: 441/440, 3136/3125, 4375/4356

POTE generator: ~3/2 = 703.210

Map: [<3 0 26 56 77|, <0 1 -4 -10 -14|]

EDOs: 12, 87, 99e, 186e

13-limit

Commas: 196/195, 352/351, 364/363, 625/624

POTE generator: ~3/2 = 703.303

Map: [<3 0 26 56 77 92|, <0 1 -4 -10 -14 -17|]

EDOs: 12f, 87, 99ef, 186ef, 273ef

17-limit

Commas: 196/195, 352/351, 364/363, 375/374, 595/594

POTE generator: ~3/2 = 703.233

Map: [<3 0 26 56 77 92 -2|, <0 1 -4 -10 -14 -17 3|]

EDOs: 12f, 87, 99ef, 186efg

19-limit

Commas: 196/195, 210/209, 352/351, 364/363, 375/374, 595/594

POTE generator: ~3/2 = 703.253

Map: [<3 0 26 56 77 92 -2 8|, <0 1 -4 -10 -14 -17 3 1|]

EDOs: 12f, 87, 99ef, 186efgh

Mystic

Commas: 325/324, 441/440, 896/891, 1001/1000

POTE generator: ~3/2 = 703.311

Map: [<3 0 26 56 77 -46|, <0 1 -4 -10 -14 12|]

EDOs: 12, 87, 186e, 273e

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: 24d, 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: 24d, 87, 111, 198

Badness: 0.0229

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