Vishnu family: Difference between revisions
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Map: [<2 4 5|, <0 -7 -3|] | Map: [<2 4 5|, <0 -7 -3|] | ||
EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo| | EDOs: [[16edo|16]], [[18edo|18]], [[34edo|34]], [[50edo|50]], [[84edo|84]], [[118edo|118]], [[152edo|152]], [[270edo|270]], [[388edo|380]], [[422edo|422]], 506, 894, 1400 | ||
Badness: 0.0312 | Badness: 0.0312 | ||
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Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|] | Map: [<2 4 5 10 10|, <0 -7 -3 -37 -26|] | ||
EDOs: 118, 152, 270, [[422edo| | EDOs: 118, 152, 270, [[422edo|422]], [[962edo|962]], 1232, 1502 | ||
Badness: 0.0142 | Badness: 0.0142 | ||
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Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|] | Map: [<2 4 5 10 10 17|, <0 -7 -3 -37 -26 -81|] | ||
EDOs: 270, | EDOs: 270, 692, 962 | ||
Badness: 0.0158 | Badness: 0.0158 | ||
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POTE generator: ~7/5 = 582.2134 | POTE generator: ~7/5 = 582.2134 | ||
Map: [<2 | Map: [<2 4 5 6|, <0 -28 -12 -13|] | ||
EDOs: 68, 134, 202, 270, 742, 1012 | EDOs: 68, 134, 202, 270, 742, 1012 | ||
Badness: 0.0450 | Badness: 0.0450 | ||
[[Category:family]] | [[Category:family]] | ||
[[Category:temperament_family]] | [[Category:temperament_family]] | ||
[[Category: | [[Category:temperament]] | ||
[[Category:vishnu]] | [[Category:vishnu]] | ||
[[Category:vishnuzmic]] | [[Category:vishnuzmic]] | ||
Revision as of 22:10, 1 December 2018
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, 422, 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, 422, 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