Fifive family: Difference between revisions
m Moving from Category:Temperament family to Category:Temperament families using Cat-a-lot |
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POTE generator: ~12/11 = 140.587 | POTE generator: ~12/11 = 140.587 | ||
Optimal GPV sequence: {{Val list| 8d, 26, 34d, 60d }} | |||
Badness: 0.040758 | Badness: 0.040758 | ||
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POTE generator: ~12/11 = 140.554 | POTE generator: ~12/11 = 140.554 | ||
Optimal GPV sequence: {{Val list| 8d, 26, 34d, 60d }} | |||
Badness: 0.024368 | Badness: 0.024368 | ||
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POTE generator: ~27/25 = 139.884 | POTE generator: ~27/25 = 139.884 | ||
Optimal GPV sequence: {{Val list| 8, 26, 34, 60 }} | |||
Badness: 0.080306 | Badness: 0.080306 | ||
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POTE generator: ~27/25 = 139.867 | POTE generator: ~27/25 = 139.867 | ||
Optimal GPV sequence: {{Val list| 8, 26, 34, 60 }} | |||
Badness: 0.044253 | Badness: 0.044253 | ||
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POTE generator: ~27/25 = 140.771 | POTE generator: ~27/25 = 140.771 | ||
Optimal GPV sequence: {{Val list| 8de, 60, 68, 128, 196 }} | |||
Badness: 0.120165 | Badness: 0.120165 | ||
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POTE generator: ~13/12 = 140.760 | POTE generator: ~13/12 = 140.760 | ||
Optimal GPV sequence: {{Val list| 8de, 60, 68, 128, 196f }} | |||
Badness: 0.067365 | Badness: 0.067365 | ||
Revision as of 13:02, 3 March 2022
This tempers out the fifive comma, 9765625/9565938 = [-1 -14 10⟩.
Fifive
Subgroup: 2.3.5
Comma: 9765625/9565938
Mapping: [⟨2 2 3], ⟨0 5 7]]
POTE generator: ~27/25 = 140.624
Badness: 0.205812
Crepuscular
Subgroup: 2.3.5.7
Comma list: 50/49, 4375/4374
Mapping: [⟨2 2 3 4], ⟨0 5 7 7]]
Wedgie: ⟨⟨ 10 14 14 -1 -6 -7 ]]
POTE generator: ~27/25 = 140.349
Badness: 0.086669
11-limit
Subgroup: 2.3.5.7.11
Comma list: 50/49, 99/98, 864/847
Mapping: [⟨2 2 3 4 6], ⟨0 5 7 7 4]]
POTE generator: ~12/11 = 140.587
Optimal GPV sequence: Template:Val list
Badness: 0.040758
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 50/49, 78/77, 99/98, 144/143
Mapping: [⟨2 2 3 4 6 6], ⟨0 5 7 7 4 6]]
POTE generator: ~12/11 = 140.554
Optimal GPV sequence: Template:Val list
Badness: 0.024368
Fifives
Subgroup: 2.3.5.7
Comma list: 875/864, 83349/81920
Mapping: [⟨2 2 3 7], ⟨0 5 7 -6]]
POTE generator: ~27/25 = 139.909
Badness: 0.130589
11-limit
Subgroup: 2.3.5.7.11
Comma list: 100/99, 385/384, 3969/3872
Mapping: [⟨2 2 3 7 6], ⟨0 5 7 -6 4]]
POTE generator: ~27/25 = 139.884
Optimal GPV sequence: Template:Val list
Badness: 0.080306
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 105/104, 144/143, 1352/1331
Mapping: [⟨2 2 3 7 6 6], ⟨0 5 7 -6 4 6]]
POTE generator: ~27/25 = 139.867
Optimal GPV sequence: Template:Val list
Badness: 0.044253
Fourfives
Subgroup: 2.3.5.7
Comma list: 245/243, 235298/234375
Mapping: [⟨4 4 6 7], ⟨0 5 7 9]]
POTE generator: ~27/25 = 140.754
Badness: 0.114143
11-limit
Subgroup: 2.3.5.7.11
Comma list: 245/243, 385/384, 235298/234375
Mapping: [⟨4 4 6 7 19], ⟨0 5 7 9 -11]]
POTE generator: ~27/25 = 140.771
Optimal GPV sequence: Template:Val list
Badness: 0.120165
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 196/195, 245/243, 385/384, 20000/19773
Mapping: [⟨4 4 6 7 19 12], ⟨0 5 7 9 -11 6]]
POTE generator: ~13/12 = 140.760
Optimal GPV sequence: Template:Val list
Badness: 0.067365