Fifive family

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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

Optimal GPV sequence8, 26, 34, 94, 128

Badness: 0.205812

Crepuscular

See also: Jubilismic clan #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

Optimal GPV sequence8d, 26, 34d, 60d

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: 8d, 26, 34d, 60d

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: 8d, 26, 34d, 60d

Badness: 0.024368

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 50/49, 78/77, 85/84, 99/98, 144/143

Mapping: [2 2 3 4 6 6 7], 0 5 7 7 4 6 5]]

POTE generator: ~12/11 = 140.405

Optimal GPV sequence: 8d, 26, 34d, 60d

Badness: 0.018567

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

Optimal GPV sequence8, 26, 34, 60

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: ~12/11 = 139.884

Optimal GPV sequence: 8, 26, 34, 60

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: ~12/11 = 139.867

Optimal GPV sequence: 8, 26, 34, 60

Badness: 0.044253

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 100/99, 105/104, 144/143, 170/169, 221/220

Mapping: [2 2 3 7 6 6 7], 0 5 7 -6 4 6 5]]

POTE generator: ~12/11 = 139.868

Optimal GPV sequence: 8, 26, 34, 60

Badness: 0.029429

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

Optimal GPV sequence8d, 60, 68, 128

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: 8de, 60, 68, 128, 196

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: 8de, 60, 68, 128, 196f

Badness: 0.067365

Quadrafives

Subgroup: 2.3.5.7.11

Comma list: 121/120, 245/243, 1375/1372

Mapping: [4 4 6 7 11], 0 5 7 9 6]]

POTE generator: ~27/25 = 140.630

Optimal GPV sequence: 8d, 60e, 68, 128e

Badness: 0.057268

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 121/120, 196/195, 245/243, 275/273

Mapping: [4 4 6 7 11 12], 0 5 7 9 6 6]]

POTE generator: ~13/12 = 140.728

Optimal GPV sequence: 8d, 60e, 68, 128e

Badness: 0.036128

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 121/120, 154/153, 170/169, 196/195, 245/243

Mapping: [4 4 6 7 11 12 14], 0 5 7 9 6 6 5]]

POTE generator: ~13/12 = 140.718

Optimal GPV sequence: 8d, 60e, 68, 128e

Badness: 0.024796