Kalismic temperaments: Difference between revisions
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* [[Jubilismic family #Jubilee|Jubilee]] | * [[Jubilismic family #Jubilee|Jubilee]] | ||
* [[Marvel family #Fantastic|Fantastic]] | |||
* [[Sensamagic family #Bisector|Bisector]] | * [[Sensamagic family #Bisector|Bisector]] | ||
* [[Valinorsmic temperaments #Varda|Varda]] | * [[Valinorsmic temperaments #Varda|Varda]] | ||
Revision as of 08:07, 24 May 2021
These are rank-3 temperaments tempering out 9801/9800, but we can begin by looking at the rank-4 temperament.
Temperaments discussed elsewhere are:
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
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