editing disabled


The vishnuzmic family of temperaments tempers out the vishnuzma, |23 6 -14> = 6115295232/6103515625, a small 5-limit comma of size 3.338 cents. It is the amount by which seven just chromatic semitones of size 25/24 fall short of a just perfect fourth of 4/3, or in other words (4/3)/(25/24)^7.

Comma: 6115295232/6103515625

POTE generator: ~25/24 = 71.1432

Map: [<2 4 5|, <0 -7 -3|]
EDOs: 16, 18, 34, 50, 84, 118, 152, 270, 380, 422edo, 506, 894, 1400
Badness: 0.0312

Vishnu

Commas: 4375/4374, 29360128/29296875

POTE generator: ~25/24 = 71.1075

Map: [<2 4 5 10|, <0 -7 -3 -37|]
EDOs: 118, 152, 270, 1232, 1502
Badness: 0.0419

11-limit

Commas: 3025/3024, 4375/4374, 5632/5625

POTE generator: ~25/24 = 71.1048

Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|]
EDOs: 118, 152, 270, 422edo, 962, 1232, 1502
Badness: 0.0142

Ananta

Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374

POTE generator: ~25/24 = 71.1170

Map: [<2 4 5 10 10 1|, <0 -7 -3 -37 -26 54|]
EDOs: 118, 152, 270, 928, 1198, 1468
Badness: 0.0237

Acyuta

Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625

POTE generator: ~25/24 = 71.1001

Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|]
EDOs: 270, 692, 962
Badness: 0.0158

Quarvish

Commas: 2401/2400, 6115295232/6103515625

POTE generator: ~7/5 = 582.2134

Map: [<2, 4, 5, 6|, <0, -28, -12, -13|]
EDOs: 68, 134, 202, 270, 742, 1012
Badness: 0.0450