Dual-fifth temperaments

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Revision as of 18:10, 7 May 2023 by Cmloegcmluin (talk | contribs) ("optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence)
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Todo: explicitly write out vals

Dual-3 A-Team

Subgroup: 2.3⁻.9.5

Comma list: 81/80, [-8 -3 4 0

Mapping: [1 0 2 0], 0 4 3 6]]

2.9.5 POTE generator: 464.1591

Optimal ET sequence13, 18, 31

Dual-3 Sixix

Subgroup: 2.3⁻.9.5

Comma list: 81/80, [2 -3 0 1

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

2.9.5 POTE generator: 335.8409

Optimal ET sequence18, 25, 43

Dual-3 Octokaidecal

Subgroup: 2.3⁻.9.5

2.9.5 POTE generator: 730.0679

Optimal ET sequence18, 28

Megapyth

Subgroup: 2.3-.3+.5.7

2.9.5.7 POTE generator: ~3+/2 = 715.319

Commas: 2.3-.3+.5.7[-4 3 1 -1 0], 2.3-.3+.5.7[6 0 -2 0 -1], 2.3-.3+.5.7[-5 -1 6 0 0]

47b, 52b

Duofamity (Rank-3)

Subgroup: 2.3-.3+.5.7

Generators: 2, 3-, 3+

Least-squares for 5/4, 9/8, and 8/7: 690.155, 715.325

Commas: 2.3-.3+.5.7[-4 3 1 -1 0], 2.3-.3+.5.7[6 0 -2 0 -1]

30c, 47b, 52b