Luna family: Difference between revisions
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13-limit hemithirds copied from gamelismic clan |
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= Hemithirds = | = Hemithirds = | ||
{{main|Hemithirds}} | {{main|Hemithirds}} | ||
{{see also|Gamelismic clan #Hemithirds}} | |||
Commas: 1029/1024, 3136/3125 | Commas: 1029/1024, 3136/3125 | ||
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Wedgie: <<15 -2 -5 -38 -50 -6|| | Wedgie: <<15 -2 -5 -38 -50 -6|| | ||
EDOs: | EDOs: {{EDOs|31, 87, 118}} | ||
Badness: 0.0443 | Badness: 0.0443 | ||
Line 36: | Line 35: | ||
Map: [<1 4 2 2 7|, <0 -15 2 5 -22|] | Map: [<1 4 2 2 7|, <0 -15 2 5 -22|] | ||
EDOs: | EDOs: {{EDOs|31, 87, 118}} | ||
Badness: 0.0190 | Badness: 0.0190 | ||
== 13-limit == | |||
Commas: 196/195, 352/351, 1001/1000, 1029/1024 | |||
POTE generator: ~28/25 = 193.166 | |||
Map: [<1 4 2 2 7 0|, <0 -15 2 5 -22 23|] | |||
EDOs: {{EDOs|31, 56, 87, 118, 205d}} | |||
Badness: 0.0217 | |||
= Lunatic = | = Lunatic = | ||
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Badness: 0.0380 | Badness: 0.0380 | ||
[[Category:Theory]] | |||
[[Category:Temperament family]] | |||
[[Category:Luna]] | |||
[[Category:Hemithirds]] | [[Category:Hemithirds]] | ||
Revision as of 08:45, 12 October 2020
The Luna family tempers out the Luna comma; 274877906944/274658203125, which has a monzo of |38 -2 -15>
Luna
Comma: 274877906944/274658203125
POTE generator: ~262144/234375 = 193.201
Map: [<1 4 2|, <0 -15 2|]
EDOs: 25, 31, 56, 87, 118, 323, 441, 559, 1000, 1559
Badness: 0.0206
Hemithirds
Commas: 1029/1024, 3136/3125
POTE generator: ~28/25 = 193.244
Map: [<1 4 2 2|, <0 -15 2 5|]
Wedgie: <<15 -2 -5 -38 -50 -6||
Badness: 0.0443
11-limit
Commas: 385/384, 441/440, 3136/3125
POTE generator: ~28/25 = 193.227
Map: [<1 4 2 2 7|, <0 -15 2 5 -22|]
Badness: 0.0190
13-limit
Commas: 196/195, 352/351, 1001/1000, 1029/1024
POTE generator: ~28/25 = 193.166
Map: [<1 4 2 2 7 0|, <0 -15 2 5 -22 23|]
Badness: 0.0217
Lunatic
Commas: 4375/4374, 274877906944/274658203125
POTE generator: ~262144/234375 = 193.196
Map: [<1 4 2 2|, <0 -15 2 -113|]
Wedgie: <<15 -2 113 -38 137 268||
EDOs: 87d, 118, 323, 441, 1205, 1646
Badness: 0.0380