Fifive family: Difference between revisions
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This tempers out the fifive comma, 9765625/9565938 = |-1 -14 10 | This tempers out the fifive comma, 9765625/9565938 = {{monzo|-1 -14 10}}. | ||
=Fifive= | = Fifive = | ||
Comma: 9765625/9565938 | Comma: 9765625/9565938 | ||
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Map: [<2 2 3|, <0 5 7|] | Map: [<2 2 3|, <0 5 7|] | ||
EDOs: 8, 26, 34, 94, 128 | EDOs: {{EDOs|8, 26, 34, 94, 128}} | ||
Badness: 0.2058 | Badness: 0.2058 | ||
=Crepuscular= | = Crepuscular = | ||
{{see also|Jubilismic clan #Crepuscular}} | |||
Commas: 50/49, 4375/4374 | Commas: 50/49, 4375/4374 | ||
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Wedgie: <<10 14 14 -1 -6 -7|| | Wedgie: <<10 14 14 -1 -6 -7|| | ||
EDOs: 8d, 26, 34d, 60d | EDOs: {{EDOs|8d, 26, 34d, 60d}} | ||
Badness: 0.0867 | Badness: 0.0867 | ||
==11-limit== | == 11-limit == | ||
Commas: 50/49, 99/98, 864/847 | Commas: 50/49, 99/98, 864/847 | ||
| Line 32: | Line 34: | ||
Map: [<2 2 3 4 6|, <0 5 7 7 4|] | Map: [<2 2 3 4 6|, <0 5 7 7 4|] | ||
EDOs: 8d, 26, 34d, 60d | EDOs: {{EDOs|8d, 26, 34d, 60d}} | ||
Badness: 0.0408 | Badness: 0.0408 | ||
==13-limit== | == 13-limit == | ||
Commas: 50/49, 78/77, 99/98, 144/143 | Commas: 50/49, 78/77, 99/98, 144/143 | ||
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Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|] | Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|] | ||
EDOs: 8d, 26, 34d, 60d | EDOs: {{EDOs|8d, 26, 34d, 60d}} | ||
Badness: 0.0244 | Badness: 0.0244 | ||
=Fifives= | = Fifives = | ||
Commas: 875/864, 83349/81920 | Commas: 875/864, 83349/81920 | ||
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Map: [<2 2 3 7|, <0 5 7 -6|] | Map: [<2 2 3 7|, <0 5 7 -6|] | ||
EDOs: 8, 26, 34, 60, 94d | EDOs: {{EDOs|8, 26, 34, 60, 94d}} | ||
Badness: 0.1306 | Badness: 0.1306 | ||
=Fourfives= | = Fourfives = | ||
Commas: 245/243, 235298/234375 | Commas: 245/243, 235298/234375 | ||
| Line 65: | Line 67: | ||
Map: [<4 4 6 7|, <0 5 7 9|] | Map: [<4 4 6 7|, <0 5 7 9|] | ||
EDOs: 8d, 60, 68, 128 | EDOs: {{EDOs|8d, 60, 68, 128}} | ||
Badness: 0.1141 | Badness: 0.1141 | ||
==11-limit== | == 11-limit == | ||
Commas: 245/243, 385/384, 235298/234375 | Commas: 245/243, 385/384, 235298/234375 | ||
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Map: [<4 4 6 7 19|, <0 5 7 9 -11|] | Map: [<4 4 6 7 19|, <0 5 7 9 -11|] | ||
EDOs: 8de, 60, 68, 128, 196 | EDOs: {{EDOs|8de, 60, 68, 128, 196}} | ||
Badness: 0.1202 | Badness: 0.1202 | ||
==13-limit== | == 13-limit == | ||
Commas: 196/195, 245/243, 385/384, 20000/19773 | Commas: 196/195, 245/243, 385/384, 20000/19773 | ||
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Map: [<4 4 6 7 19 12|, <0 5 7 9 -11 6|] | Map: [<4 4 6 7 19 12|, <0 5 7 9 -11 6|] | ||
EDOs: 8de, 60, 68, 128, 196f | EDOs: {{EDOs|8de, 60, 68, 128, 196f}} | ||
Badness: 0.0674 | Badness: 0.0674 | ||
[[Category:Theory]] | |||
[[Category:Temperament family]] | |||
[[Category:Rank 2]] | |||
[[Category:Fifive]] | |||
Revision as of 17:36, 8 November 2020
This tempers out the fifive comma, 9765625/9565938 = [-1 -14 10⟩.
Fifive
Comma: 9765625/9565938
POTE generator: ~27/25 = 140.624
Map: [<2 2 3|, <0 5 7|]
Badness: 0.2058
Crepuscular
Commas: 50/49, 4375/4374
POTE generator: ~27/25 = 140.349
Map: [<2 2 3 4|, <0 5 7 7|]
Wedgie: <<10 14 14 -1 -6 -7||
Badness: 0.0867
11-limit
Commas: 50/49, 99/98, 864/847
POTE generator: ~12/11 = 140.587
Map: [<2 2 3 4 6|, <0 5 7 7 4|]
Badness: 0.0408
13-limit
Commas: 50/49, 78/77, 99/98, 144/143
POTE generator: ~12/11 = 140.554
Map: [<2 2 3 4 6 6|, <0 5 7 7 4 6|]
Badness: 0.0244
Fifives
Commas: 875/864, 83349/81920
POTE generator: ~27/25 = 139.909
Map: [<2 2 3 7|, <0 5 7 -6|]
Badness: 0.1306
Fourfives
Commas: 245/243, 235298/234375
POTE generator: ~27/25 = 140.754
Map: [<4 4 6 7|, <0 5 7 9|]
Badness: 0.1141
11-limit
Commas: 245/243, 385/384, 235298/234375
POTE generator: ~27/25 = 140.771
Map: [<4 4 6 7 19|, <0 5 7 9 -11|]
Badness: 0.1202
13-limit
Commas: 196/195, 245/243, 385/384, 20000/19773
POTE generator: ~13/12 = 140.760
Map: [<4 4 6 7 19 12|, <0 5 7 9 -11 6|]
Badness: 0.0674