Dual-fifth temperaments: Difference between revisions
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m Moving from Category:Temperament to Category:Lists of temperaments using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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| Line 10: | Line 10: | ||
2.9.5 POTE generator: 464.1591 | 2.9.5 POTE generator: 464.1591 | ||
{{ | {{Optimal ET sequence|legend=1| 13, 18, 31 }} | ||
== Dual-3 Sixix == | == Dual-3 Sixix == | ||
| Line 21: | Line 21: | ||
2.9.5 POTE generator: 335.8409 | 2.9.5 POTE generator: 335.8409 | ||
{{ | {{Optimal ET sequence|legend=1| 18, 25, 43 }} | ||
== Dual-3 Octokaidecal == | == Dual-3 Octokaidecal == | ||
| Line 28: | Line 28: | ||
2.9.5 [[POTE]] generator: 730.0679 | 2.9.5 [[POTE]] generator: 730.0679 | ||
{{ | {{Optimal ET sequence|legend=1|18, 28}} | ||
== Megapyth == | == Megapyth == | ||
| Line 37: | Line 37: | ||
[[Comma]]s: 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] | [[Comma]]s: 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] | ||
{{Optimal ET sequence|47b, 52b}} | |||
== Duofamity (Rank-3) == | == Duofamity (Rank-3) == | ||
| Line 48: | Line 48: | ||
[[Comma]]s: 2.3-.3+.5.7[-4 3 1 -1 0], 2.3-.3+.5.7[6 0 -2 0 -1] | [[Comma]]s: 2.3-.3+.5.7[-4 3 1 -1 0], 2.3-.3+.5.7[6 0 -2 0 -1] | ||
{{Optimal ET sequence|30c, 47b, 52b}} | |||
[[Category:Dual-fifth]] | [[Category:Dual-fifth]] | ||
[[Category:Lists of temperaments]] | [[Category:Lists of temperaments]] | ||
Revision as of 18:10, 7 May 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]