Vishnuzmic family: Difference between revisions

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

[[Comma]]: 6115295232/6103515625

[[Mapping]]: [{{val|2 4 5}}, {{val|0 -7 -3}}]

[[POTE generator]]: ~25/24 = 71.143

{{Val list|legend=1| 16, 34, 84, 118, 270, 388, 506, 894, 1400, 3306c, 4706cc }}

[[Badness]]: 0.031181

= Vishnu =

[[Comma list]]: 4375/4374, 29360128/29296875

[[Mapping]]: [{{val|2 4 5 10}}, {{val|0 -7 -3 -37}}]

{{Multival|legend=1|14 6 74 -23 78 155}}

[[POTE generator]]: ~25/24 = 71.107

[[Badness]]: 0.041912

Comma list: 3025/3024, 4375/4374, 5632/5625

Mapping: [{{val|2 4 5 10 10}}, {{val|0 -7 -3 -37 -26}}]

POTE generator: ~25/24 = 71.105

Vals: {{Val list| 118, 152, 270, 962, 1232, 1502, 2734bcd, 4236bbccdd }}

Badness: 0.014180

Comma list: 1001/1000, 3025/3024, 4096/4095, 4375/4374

Mapping: [{{val|2 4 5 10 10 1}}, {{val|0 -7 -3 -37 -26 54}}]

POTE generator: ~25/24 = 71.117

Vals: {{Val list| 118, 152, 270, 928, 1198, 1468 }}

Badness: 0.023678

Comma list: 1716/1715, 2080/2079, 3025/3024, 5632/5625

Mapping: [{{val|2 4 5 10 10 17}}, {{val|0 -7 -3 -37 -26 -81}}]

POTE generator: ~25/24 = 71.101

Vals: {{Val list| 270, 692, 962, 1654cd, 2616bcdf }}

Badness: 0.015805

[[Comma list]]: 2401/2400, 6115295232/6103515625

[[Mapping]]: [{{val|2 4 5 6}}, {{val|0 -28 -12 -13}}]

[[POTE generator]]: ~7/5 = 582.213

 

Badness: 0.045029