Kalismic temperaments

These are rank-3 temperaments tempering out 9801/9800. Temperaments discussed elsewhere are:

• Jubilee, {50/49, 99/98} → Jubilismic family
• Fantastic, {225/224, 4375/4356} → Marvel family
• Bisector, {121/120, 245/243} → Sensamagic family
• Julius or varda, {176/175, 896/891} → Diaschismic rank three family
• Hagrid, {243/242, 9801/9800} → Cataharry family
• Uniwiz, {385/384, 9801/9800} → Keenanismic temperaments
• Varuna, {441/440, 8019/8000} → Werckismic temperaments
• Hades, {540/539, 4000/3993} → Swetismic temperaments
• Dimcomp, {1375/1372, 6250/6237} → Dimcomp family
• Baldur, {2401/2400, 9801/9800} → Breed family
• Thor, {3025/3024, 4375/4374} → Ragismic family
• Semiporwell, {6144/6125, 9801/9800} → Porwell family
• Semicanou, {9801/9800, 14641/14580} → Canou family

Considered below are odin, loki, and van gogh, but we can begin by looking at the rank-4 temperament.

Kalismic

Subgroup: 2.3.5.7.11

Comma list: 9801/9800

Mapping: [⟨2 0 0 0 3], ⟨0 1 0 0 -2], ⟨0 0 1 0 1], ⟨0 0 0 1 1]]

Mapping generators: ~99/70, ~3, ~5, ~7

Odin

See also: Landscape family

Subgroup: 2.3.5.7.11

Comma list: 9801/9800, 151263/151250

Mapping: [⟨6 0 0 8 17], ⟨0 1 0 -2 -4], ⟨0 0 1 2 3]]

Mapping generators: ~55/49, ~3, ~5

Badness: 0.116 × 10^-3

Loki

Subgroup: 2.3.5.7.11

Comma list: 5632/5625, 9801/9800

Mapping: [⟨2 0 0 -21 -18], ⟨0 1 0 4 2], ⟨0 0 1 3 4]]

Mapping generators: ~99/70, ~3, ~5

Badness: 0.493 × 10^-3

Van Gogh

Subgroup: 2.3.5.7.11

Comma list: 9801/9800, 199297406/199290375

Mapping: [⟨2 0 8 0 11], ⟨0 1 1 2 1], ⟨0 0 -9 -1 -10]]

Mapping generators: ~99/70, ~3, ~9/7

Badness: 0.297 × 10^-3