Fifive family
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
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: Template:Val list
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
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: 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: ~12/11 = 139.867
Optimal GPV sequence: Template:Val list
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: Template:Val list
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
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
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: Template:Val list
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: Template:Val list
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: Template:Val list
Badness: 0.024796