Reversed meantone clan

From Xenharmonic Wiki
Jump to navigation Jump to search

The parent comma for the reversed meantone clan is 82/81.

Reversed meantone

Main article: 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 sequence5, 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 sequence5, 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 sequence5, 12, 17, 22, 39d

Optimal ET sequence5, 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]