Arcturus clan: Difference between revisions
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[[Optimal GPV sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]] | [[Optimal GPV sequence]]: [[2edt|b2]], [[11edt|b11]], [[13edt|b13]] | ||
== Polturus == | |||
This extension of Arcturus adds [[Polaris]]'s mapping for [[11/9]]. | |||
[[Subgroup]]: 3.5.7.11 | |||
[[Comma list]]: 15625/15309, 177147/171875 | |||
[[Mapping]]: [{{val|1 1 -1 5}}, {{val|0 1 6 -6}}] | |||
[[POTE generator]]: ~[[5/3]] = 884.268 | |||
[[EDT]]s: 15, 13[+11], 28[+11], 43[+7, +11] | |||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 08:36, 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
Mapping: [⟨1 1 -1 5], ⟨0 1 6 -6]]
POTE generator: ~5/3 = 884.268
EDTs: 15, 13[+11], 28[+11], 43[+7, +11]