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

See also: Kalismic temperaments

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

58 & 224 & 460

See also: Kalismic temperaments

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: 3.2 × 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