Reversed meantone clan: Difference between revisions
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[[Comma list]]: 81/80, 41/40 | [[Comma list]]: 81/80, 41/40 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 3/2; 81/80 41/40] | ||
[[Mapping]]: [{{val|1 1 0 3}}, {{val|0 1 4 4}}] | [[Mapping]]: [{{val|1 1 0 3}}, {{val|0 1 4 4}}] | ||
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[[POTE generator]]: ~[[3/2]] = 696.126 | [[POTE generator]]: ~[[3/2]] = 696.126 | ||
[[EDO]]s: 7[-41], 12, 5, 19[-41], 17[+5], 26[-41], 31[-41], 9[-5, -41], 33[-5, --41], 16[-5, --41], 45[--41], 11[--5, --41], 40[-5, --41], 23[-5, --41] | |||
Revision as of 02:44, 17 April 2023
The parent comma for the reversed meantone family is 82/81.
Reversed meantone
See also: No-fives subgroup temperaments#Reversed meantone
Subgroup: 2.3.41
Comma list: 82/81
Gencom: [2 4/3; 82/81]
Sval mapping: [⟨1 2 7], ⟨0 -1 -4]]
POL2 generator: ~4/3 = 494.509
2.3.7.41 subgroup
Subgroup: 2.3.7.41
Comma list: 64/63, 82/81
Gencom: [2 4/3; 64/63 82/81]
Sval mapping: [⟨1 2 2 7], ⟨0 -1 2 -4]]
POTE generator: ~4/3 = 490.0323
TOP generators: ~2 = 1197.2342, ~4/3 = 488.9029
Optimal GPV sequence: Template:Val list
2.3.7.11.41 subgroup
Subgroup: 2.3.7.11.41
Comma list: 64/63, 82/81, 99/98
Gencom: [2 4/3; 64/63 82/81 99/98]
Sval mapping: [⟨1 2 2 1 7], ⟨0 -1 2 6 -4]]
POTE generator: ~4/3 = 492.1787
TOP generators: ~2 = 1197.9683, ~4/3 = 491.3454
Optimal GPV sequence: Template:Val list
Reversed reversed meantone
Subgroup: 2.3.5.41
Comma list: 81/80, 41/40
Gencom: [2 3/2; 81/80 41/40]
Mapping: [⟨1 1 0 3], ⟨0 1 4 4]]
POTE generator: ~3/2 = 696.126
EDOs: 7[-41], 12, 5, 19[-41], 17[+5], 26[-41], 31[-41], 9[-5, -41], 33[-5, --41], 16[-5, --41], 45[--41], 11[--5, --41], 40[-5, --41], 23[-5, --41]