Maquila family: Difference between revisions
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m Removing from Category:Theory using Cat-a-lot |
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Badness: 0.024445 | Badness: 0.024445 | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Maquila]] | [[Category:Maquila]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 01:31, 3 August 2022
The maquila family tempers out the maquila comma, 562949953421312/556182861328125 = [49 -6 -17⟩.
Maquila
Subgroup: 2.3.5
Comma: 562949953421312/556182861328125
Mapping: [⟨1 -6 5], ⟨0 17 -6]]
POTE generator: ~512/375 = 535.437
Badness: 0.472510
7-limit
Subgroup: 2.3.5.7
Comma list: 225/224, 30233088/28824005
Mapping: [⟨1 -6 5 -7], ⟨0 17 -6 22]]
Wedgie: ⟨⟨ 17 -6 22 -49 -13 68 ]]
POTE generator: ~48/35 = 535.322
Badness: 0.232430
11-limit
Subgroup: 2.3.5.7.11
Comma list: 99/98, 176/175, 73728/73205
Mapping: [⟨1 -6 5 -7 -1], ⟨0 17 -6 22 10]]
POTE generator: ~15/11 = 535.321
Optimal GPV sequence: Template:Val list
Badness: 0.072550
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 99/98, 144/143, 176/175, 847/845
Mapping: [⟨1 -6 5 -7 -1 -7], ⟨0 17 -6 22 10 24]]
POTE generator: ~15/11 = 535.298
Optimal GPV sequence: Template:Val list
Badness: 0.042198
Maquiloid
Subgroup: 2.3.5.7
Comma list: 686/675, 65625/65536
Mapping: [⟨1 -6 5 -3], ⟨0 17 -6 13]]
Wedgie: ⟨⟨ 17 -6 13 -49 -27 47 ]]
POTE generator: ~175/128 = 535.482
Badness: 0.188977
11-limit
Subgroup: 2.3.5.7.11
Comma list: 245/242, 385/384, 686/675
Mapping: [⟨1 -6 5 -3 -1], ⟨0 17 -6 13 10]]
POTE generator: ~15/11 = 535.485
Optimal GPV sequence: Template:Val list
Badness: 0.066234
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 91/90, 169/168, 245/242, 385/384
Mapping: [⟨1 -6 5 -3 -1 -3], ⟨0 17 -6 13 10 15]]
POTE generator: ~15/11 = 535.501
Optimal GPV sequence: Template:Val list
Badness: 0.041850
Hemimaquila
Subgroup: 2.3.5.7
Comma list: 6144/6125, 184528125/184473632
Mapping: [⟨1 -6 5 -5], ⟨0 34 -12 35]]
Wedgie: ⟨⟨ 34 -12 35 -98 -40 115 ]]
POTE generator: ~7/6 = 267.716
Badness: 0.111465
11-limit
Subgroup: 2.3.5.7.11
Comma list: 540/539, 5632/5625, 12005/11979
Mapping: [⟨1 -6 5 -5 -1], ⟨0 34 -12 35 20]]
POTE generator: ~7/6 = 267.717
Optimal GPV sequence: Template:Val list
Badness: 0.047440
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 364/363, 540/539, 676/675, 3584/3575
Mapping: [⟨1 -6 5 -5 -1 -5], ⟨0 34 -12 35 20 39]]
POTE generator: ~7/6 = 267.719
Optimal GPV sequence: Template:Val list
Badness: 0.024445