User:VIxen/Sandbox
Wizmic family
These are rank-3 temperaments where the wizma 420175/419904 is tempered out. For the clan of rank-2 temperaments with this comma, see Wizmic microtemperaments.
Wizmic
Subgroup: 2.3.5.7
Comma list: 420175/419904
Mapping: [⟨1 0 3 0], ⟨0 1 4 0], ⟨0 0 -5 2]]
Mapping generators: ~2, ~3, ~648/245
Badness: 0.0864 × 10-3
Gersemi
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 41503/41472
Mapping: [⟨2 0 1 2 6], ⟨0 1 4 0 2], ⟨0 0 -5 2 -3]]
Mapping generators: ~99/70, ~3, ~144/77
Badness: 0.368 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 4096/4095, 9801/9800, 41503/41472
Mapping: [⟨2 0 1 2 6 21], ⟨0 1 4 0 2 -6], ⟨0 0 -5 2 -3 3]]
Mapping generators: ~99/70, ~3, ~144/77
Badness: 0.867 × 10-3
13-limit (ibnsinmic)
Subgroup: 2.3.5.7.11.13
Comma list: 1716/1715, 2080/2079, 17303/17280
Mapping: [⟨2 0 1 2 6 -3], ⟨0 1 4 0 2 1], ⟨0 0 -5 2 -3 4]]
Mapping generators: ~99/70, ~3, ~144/77
Badness: 1.56 × 10-3
Skeetsmic family
These are rank-3 temperaments where the skeetsma is tempered out.
Skeetsmic
Subgroup: 2.3.5.7
Comma list: 14348907/14336000
Mapping: [⟨1 0 0 -14], ⟨0 1 0 15], ⟨0 0 1 -3]]
Mapping generators: ~2, ~3, ~5
Badness: 0.333 × 10-3
Skald
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 1240029/1239040
Mapping: [⟨2 0 1 -28 -25], ⟨0 1 0 15 13], ⟨0 0 1 -3 -2]]
Mapping generators: ~99/70, ~3, ~5
Badness: 3.20 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 9801/9800, 10648/10647, 59535/59488
Mapping: [⟨2 0 1 -31 -27 -22], ⟨0 1 0 15 13 11], ⟨0 0 2 -6 -4 -3]]
Mapping generators: ~99/70, ~3, ~220/117
Badness: 1.31 × 10-3
Other from the kalismic family
Rishi
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 572145834917888/571919811374025
Mapping: [⟨2 0 3 -10 -4], ⟨0 1 2 4 4], ⟨0 0 8 -5 3]]
Mapping generators: ~99/70, ~3, ~17364375/14172488
Badness: 2.10 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 9801/9800, 10648/10647, 371293/371250
Mapping: [⟨2 0 3 -10 -4 2], ⟨0 1 2 4 4 3], ⟨0 0 8 -5 3 7]]
Mapping generators: ~99/70, ~3, ~364/297
Badness: 0.505 × 10-3