Reversed meantone clan: Difference between revisions
CompactStar (talk | contribs) Created page with "The parent comma for the '''reversed meantone family''' is 82/81. == Reversed meantone == {{Main| Reversed meantone }} ''See also: No-fives subgroup temperaments#Reverse..." |
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The parent comma for the '''reversed meantone | {{Technical data page}} | ||
The parent comma for the '''reversed meantone clan''' is [[82/81]]. | |||
== Reversed meantone == | == Reversed meantone == | ||
{{Main| Reversed meantone }} | {{Main| Reversed meantone }} | ||
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[[Tp tuning|POL2 generator]]: ~4/3 = 494.509 | [[Tp tuning|POL2 generator]]: ~4/3 = 494.509 | ||
{{ | {{Optimal ET sequence|legend=1| 5, 12, 17 }} | ||
=== 2.3.7.41 subgroup === | === 2.3.7.41 subgroup === | ||
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[[TOP tuning|TOP generator]]s: ~2 = 1197.2342, ~4/3 = 488.9029 | [[TOP tuning|TOP generator]]s: ~2 = 1197.2342, ~4/3 = 488.9029 | ||
{{Optimal ET sequence|legend=1| 5, 12, 17, 22, 49 }} | |||
=== 2.3.7.11.41 subgroup === | === 2.3.7.11.41 subgroup === | ||
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[[TOP tuning|TOP generator]]s: ~2 = 1197.9683, ~4/3 = 491.3454 | [[TOP tuning|TOP generator]]s: ~2 = 1197.9683, ~4/3 = 491.3454 | ||
{{Optimal ET sequence|legend=1| 5, 12, 17, 22, 39d }} | |||
{{ | {{Optimal ET sequence|legend=1| 5, 12, 17 }} | ||
== Reversed reversed meantone == | == Reversed reversed meantone == | ||
[[Subgroup]]: 2.3.5.41 | [[Subgroup]]: 2.3.5.41 | ||
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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] | |||
[[Category:Temperament clans]] | |||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Rank-2]] | |||
Latest revision as of 00:34, 24 June 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The parent comma for the reversed meantone clan 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
Optimal ET sequence: 5, 12, 17
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 ET sequence: 5, 12, 17, 22, 49
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 ET sequence: 5, 12, 17, 22, 39d
Optimal ET sequence: 5, 12, 17
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]