Dual-fifth temperaments: Difference between revisions
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{{Optimal ET sequence|30c, 47b, 52b}} | {{Optimal ET sequence|30c, 47b, 52b}} | ||
== Travesty == | |||
[[Subgroup]]: 2.3.5.97 | |||
[[Comma list]]: [[177147/163840]], 2619/2560 | |||
{{Mapping|legend=1|1 1 -4 2|0 1 11 8}} | |||
[[CTE tuning|CTE generator]]: ~[[3/2]] = 689.886 | |||
[[Support]]ing [[ET]]s: 7, 40, 33, 26[+5], 47, 19[+5, +97], 54[-3], 61[-3, -5, -97], 68[-3, -5, -97] | |||
[[Category:Dual-fifth]] | [[Category:Dual-fifth]] | ||
[[Category:Lists of temperaments]] | [[Category:Lists of temperaments]] | ||
Revision as of 03:52, 16 June 2023
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
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]
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]
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]