Kalismic temperaments

These are rank-3 temperaments tempering out 9801/9800, but we can begin by looking at the rank-4 temperament.

Temperaments discussed elsewhere are:

• jubilee, {50/49, 99/98} → Jubilismic family #Jubilee
• fantastic, {225/224, 4375/4356} → Marvel family #Fantastic
• bisector, {121/120, 245/243} → Sensamagic family #Bisector
• julius or varda, {176/175, 896/891} → Diaschismic rank three family #Julius aka varda
• hagrid, {243/242, 9801/9800} → Cataharry family #Hagrid
• varuna, {441/440, 8019/8000} → Werckismic temperaments #Varuna
• hades, {540/539, 4000/3993} → Swetismic temperaments #Hades
• dimcomp, {1375/1372, 6250/6237} → Dimcomp family #Undecimal dimcomp
• baldur, {2401/2400, 9801/9800} → Breed family #Baldur
• thor, {3025/3024, 4375/4374} → Ragismic family #Thor
• semicanou, {9801/9800, 14641/14580} → Canou family #Semicanou

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