Luna family: Difference between revisions

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-The Luna family tempers out the Luna comma; 274877906944/274658203125, which has a monzo of |38 -2 -15&gt;
+The '''luna family''' tempers out the hemithirds comma aka luna comma, 274877906944/274658203125, which has a monzo of {{monzo| 38 -2 -15 }};
-=Luna=
+= Luna =
-Comma: 274877906944/274658203125
-POTE generator: ~262144/234375 = 193.201
+Subgroup: 2.3.5
-Map: [&lt;1 4 2|, &lt;0 -15 2|]
+[[Comma list]]: 274877906944/274658203125
-EDOs: 25, 31, 56, 87, 118, 323, 441, 559, 1000, 1559
+[[Mapping]]: [{{val| 1 4 2 }}, {{val| 0 -15 2 }}]
-Badness: 0.0206
+[[POTE generator]]: ~262144/234375 = 193.201
+{{Val list|legend=1| 25, 31, 56, 87, 118, 323, 441, 559, 1000, 1559 }}
+[[Badness]]: 0.0206
 = Hemithirds =
@@ Line 36: / Line 39: @@
 {{Val list|legend=1| 31, 87, 118 }}
-Badness: 0.0443
+[[Badness]]: 0.0443
 == 11-limit ==
@@ Line 72: / Line 75: @@
 = Lunatic =
-Commas: 4375/4374, 274877906944/274658203125
-POTE generator: ~262144/234375 = 193.196
+Subgroup: 2.3.5.7
+[[Comma list]]: 4375/4374, 274877906944/274658203125
-Map: [&lt;1 4 2 2|, &lt;0 -15 2 -113|]
+[[Mapping]]: [{{val| 1 4 2 2 }}, {{val| 0 -15 2 -113 }}]
-Wedgie: &lt;&lt;15 -2 113 -38 137 268||
+{{Multival|legend=1| 15 -2 113 -38 137 268 }}
-EDOs: 87d, 118, 323, 441, 1205, 1646
+[[POTE generator]]: ~262144/234375 = 193.196
-Badness: 0.0380
+{{Val list|legend=1| 87d, 118, 323, 441, 1205, 1646 }}
+[[Badness]]: 0.0380
 = Semiluna =
-{{see also|Canousmic temperaments #Semiluna}}
-Commas: 4802000/4782969, 95703125/95551488
+{{see also| Canousmic temperaments #Semiluna }}
-POTE generator: ~2187/1960 = 193.1725
+Subgroup: 2.3.5.7
-Map: [<2 8 4 23|, <0 -15 2 -54|]
+[[Comma list]]: 4802000/4782969, 95703125/95551488
-EDOs: {{EDOs|56d, 118, 292, 410}}
+[[Mapping]]: [{{val| 2 8 4 23 }}, {{val| 0 -15 2 -54 }}]
-Badness: 0.1922
+[[POTE generator]]: ~2187/1960 = 193.1725
+{{Val list|legend=1| 56d, 118, 292, 410 }}
+[[Badness]]: 0.1922
 == 11-limit ==
-Commas: 5632/5625, 9801/9800, 14641/14580
+Subgroup: 2.3.5.7.11
+Comma list: 5632/5625, 9801/9800, 14641/14580
 POTE generator: ~121/108 = 193.1732
-Map: [<2 8 4 23 14|, <0 -15 2 -54 -22|]
+Mapping: [{{val| 2 8 4 23 14 }}, {{val| 0 -15 2 -54 -22 }}]
-EDOs: {{EDOs|56d, 118, 292, 410}}
+{{Val list|legend=1| 56d, 118, 292, 410 }}
 Badness: 0.0678
-[[Category:Theory]]
+[[Category:Regular temperament theory]]
 [[Category:Temperament family]]
 [[Category:Luna]]
 [[Category:Hemithirds]]
+[[Category:Rank 2]]