Vishnuzmic family: Difference between revisions

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-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.
+__FORCETOC__
+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.
-= Vishnuzmic =
+Comma: 6115295232/6103515625
-[[Comma]]: 6115295232/6103515625
-[[Mapping]]: [{{val|2 4 5}}, {{val|0 -7 -3}}]
+POTE generator: ~25/24 = 71.1432
-[[POTE generator]]: ~25/24 = 71.143
+Map: [&lt;2 4 5|, &lt;0 -7 -3|]
-{{Val list|legend=1| 16, 34, 84, 118, 270, 388, 506, 894, 1400, 3306c, 4706cc }}
+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]]: 0.031181
+Badness: 0.0312
-= Vishnu =
+=Vishnu=
-[[Comma list]]: 4375/4374, 29360128/29296875
+Commas: 4375/4374, 29360128/29296875
-[[Mapping]]: [{{val|2 4 5 10}}, {{val|0 -7 -3 -37}}]
+POTE generator: ~25/24 = 71.1075
-{{Multival|legend=1|14 6 74 -23 78 155}}
+Map: [&lt;2 4 5 10|, &lt;0 -7 -3 -37|]
-[[POTE generator]]: ~25/24 = 71.107
+EDOs: 118, 152, 270, [[1232edo|1232]], [[1502edo|1502]]
-{{Val list|legend=1| 118, 152, 270, 1232, 1502, 1772c, 2042bc, 2312bc, 2582bc }}
+Badness: 0.0419
-[[Badness]]: 0.041912
+==11-limit==
+Commas: 3025/3024, 4375/4374, 5632/5625
-== 11-limit ==
+POTE generator: ~25/24 = 71.1048
-Comma list: 3025/3024, 4375/4374, 5632/5625
-Mapping: [{{val|2 4 5 10 10}}, {{val|0 -7 -3 -37 -26}}]
+Map: [&lt;2 4 5 10 10|, &lt;0 -7 -3 -37 -26|]
-POTE generator: ~25/24 = 71.105
+EDOs: 118, 152, 270, [[422edo|422]], [[962edo|962]], 1232, 1502
-Vals: {{Val list| 118, 152, 270, 962, 1232, 1502, 2734bcd, 4236bbccdd }}
+Badness: 0.0142
-Badness: 0.014180
+==Ananta==
+Commas: 1001/1000, 3025/3024, 4096/4095, 4375/4374
-=== Ananta ===
+POTE generator: ~25/24 = 71.1170
-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}}]
+Map: [&lt;2 4 5 10 10 1|, &lt;0 -7 -3 -37 -26 54|]
-POTE generator: ~25/24 = 71.117
+EDOs: 118, 152, 270, 928, 1198, 1468
-Vals: {{Val list| 118, 152, 270, 928, 1198, 1468 }}
+Badness: 0.0237
-Badness: 0.023678
+==Acyuta==
+Commas: 1716/1715, 2080/2079, 3025/3024, 5632/5625
-=== Acyuta ===
+POTE generator: ~25/24 = 71.1001
-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}}]
+Map: [&lt;2 4 5 10 10 17|, &lt;0 -7 -3 -37 -26 -81|]
-POTE generator: ~25/24 = 71.101
+EDOs: 270, 692, 962
-Vals: {{Val list| 270, 692, 962, 1654cd, 2616bcdf }}
+Badness: 0.0158
-Badness: 0.015805
+=Quarvish=
+Commas: 2401/2400, 6115295232/6103515625
-= Quarvish =
+POTE generator: ~7/5 = 582.2134
-[[Comma list]]: 2401/2400, 6115295232/6103515625
-[[Mapping]]: [{{val|2 4 5 6}}, {{val|0 -28 -12 -13}}]
+Map: [&lt;2 4 5 6|, &lt;0 -28 -12 -13|]
-[[POTE generator]]: ~7/5 = 582.213 (2|33,1,2,1,2,1) - 66,68,202,270,742,1012
+EDOs: 68, 134, 202, 270, 742, 1012
-{{Val list|legend=1| 68, 134, 202, 270, 742, 1012 }}
+Badness: 0.0450
-Badness: 0.045029
 [[Category:Theory]]