Dual-fifth temperaments

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 sequence: 13, 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 sequence: 18, 25, 43

Dual-3 Octokaidecal

Subgroup: 2.3⁻.9.5

2.9.5 POTE generator: 730.0679

Optimal ET sequence: 18, 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

Travesty

Subgroup: 2.3.5.97

Comma list: 177147/163840, 2619/2560

Mapping: [⟨1 1 -4 2], ⟨0 1 11 8]]

CTE generator: ~3/2 = 689.886

Supporting ETs: 7, 40, 33, 26[+5], 47, 19[+5, +97], 54[-3], 61[-3, -5, -97], 68[-3, -5, -97]