Arcturus clan: Difference between revisions
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[[Comma list]]: 15625/15309, 177147/171875 | [[Comma list]]: 15625/15309, 177147/171875 | ||
[[Gencom]]: [3/1 5/3; 15625/15309 177147/171875] | |||
[[Mapping]]: [{{val|1 1 -1 5}}, {{val|0 1 6 -6}}] | [[Mapping]]: [{{val|1 1 -1 5}}, {{val|0 1 6 -6}}] | ||
Revision as of 08:38, 7 April 2023
These are rank-2 temperaments that temper out the Arcturus comma, 15625/15309 = [0 -7 6 -1⟩.
Temperaments dicussed elsewhere include the "yes-twos" temperaments opossum, crepuscular, catalan, bunya, bohpier, and superkleismic.
Arcturus
Subgroup: 3.5.7
Comma list: 15625/15309
Sval mapping: [⟨1 0 -7], ⟨0 1 6]]
Sval mapping generators: ~3, ~5
POTE generator: ~5/3 = 878.042
Optimal GPV sequence: b2, b11, b13
Polturus
This extension of Arcturus adds Polaris's mapping for 11/9.
Subgroup: 3.5.7.11
Comma list: 15625/15309, 177147/171875
Gencom: [3/1 5/3; 15625/15309 177147/171875]
Mapping: [⟨1 1 -1 5], ⟨0 1 6 -6]]
POTE generator: ~5/3 = 884.268
EDTs: 15, 13[+11], 28[+11], 43[+7, +11]