Keemic temperaments: Difference between revisions

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-These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Magic family #Magic|magic]], [[Kleismic family #Keemun|keemun]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Porcupine|porcupine]], [[Jubilismic clan #Doublewide|doublewide]], [[Gamelismic clan #Superkleismic|superkleismic]], and [[Sycamore family #Sycamore|sycamore]]. Discussed below are quasitemp and barbad.
+These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Porcupine|porcupine]], [[Gamelismic clan #Superkleismic|superkleismic]], [[Magic family #Magic|magic]], [[Kleismic family #Keemun|keemun]], and [[Sycamore family #Sycamore|sycamore]]. Discussed below are quasitemp and barbad.
 = Quasitemp =
-Comma: 6103515625/5804752896
+== 5-limit ==
+Comma list: 6103515625/5804752896
 POTE generator: ~3125/2592 = 292.702
-Map: [&lt;1 5 5|, &lt;0 -14 -11|]
+Mapping: [{{val| 1 5 5 }}, {{val| 0 -14 -11 }}]
-{{EDOs|legend=1| 4, 37, 41 }}
+{{Val list|legend=1| 4, …, 37, 41 }}
 Badness: 0.7678
 == 7-limit ==
-Commas: 875/864, 2401/2400
+Comma list: 875/864, 2401/2400
 POTE generator ~25/21 = 292.710
-Map: [&lt;1 5 5 5|, &lt;0 -14 -11 -9|]
+Mapping: [{{val| 1 5 5 5 }}, {{val| 0 -14 -11 -9 }}]
-Wedgie: &lt;&lt;14 11 9 -15 -25 -10||
+{{Multival|legend=1| 14 11 9 -15 -25 -10 }}
-{{EDOs|legend=1| 4, 37, 41 }}
+{{Val list|legend=1| 4, …, 37, 41 }}
 Badness: 0.0603
 == 11-limit ==
-Commas: 100/99, 385/384, 1375/1372
+Comma list: 100/99, 385/384, 1375/1372
 POTE generator: ~25/21 = 292.547
-Map: [&lt;1 5 5 5 2|, &lt;0 -14 -11 -9 6|]
+Mapping: [{{val| 1 5 5 5 2 }}, {{val| 0 -14 -11 -9 6 }}]
-{{EDOs|legend=1| 4, 37, 41, 119 }}
+{{Val list|legend=1| 37, 41, 119 }}
 Badness: 0.0432
 === 13-limit ===
-Commas: 100/99, 196/195, 275/273, 385/384
+Comma list: 100/99, 196/195, 275/273, 385/384
 POTE generator: ~13/11 = 292.457
-Map: [&lt;1 5 5 5 2 2|, &lt;0 -14 -11 -9 6 7|]
+Mapping: [{{val| 1 5 5 5 2 2 }}, {{val| 0 -14 -11 -9 6 7 }}]
-{{EDOs|legend=1| 4, 37, 41, 78, 119f }}
+{{Val list|legend=1| 37, 41, 78, 119f }}
 Badness: 0.0329
 == Quato ==
-Commas: 243/242, 441/440, 625/616
+Comma list: 243/242, 441/440, 625/616
 POTE generator: ~25/21 = 292.851
-Map: [&lt;1 5 5 5 12|, &lt;0 -14 -11 -9 -35|]
+Mapping: [{{val| 1 5 5 5 12 }}, {{val| 0 -14 -11 -9 -35 }}]
-{{EDOs|legend=1| 41, 127cd, 168cd }}
+{{Val list|legend=1| 41, 127cd, 168cd }}
 Badness: 0.0412
 === 13-limit ===
-Commas: 105/104, 243/242, 275/273, 325/324
+Comma list: 105/104, 243/242, 275/273, 325/324
 POTE generator: ~13/11 = 292.928
-Map: [&lt;1 5 5 5 12 12|, &lt;0 -14 -11 -9 -35 -34|]
+Mapping: [{{val| 1 5 5 5 12 12 }}, {{val| 0 -14 -11 -9 -35 -34 }}]
-{{EDOs|legend=1| 41, 86ce, 127cd }}
+{{Val list|legend=1| 41, 86ce, 127cd }}
 Badness: 0.0301
 = Barbad =
-Commas: 875/864, 16875/16807
+Comma list: 875/864, 16875/16807
 POTE generator: ~75/49 = 468.331
-Map: [&lt;1 9 7 11|, &lt;0 -19 -12 -21|]
+Mapping: [{{val| 1 9 7 11 }}, {{val| 0 -19 -12 -21 }}]
-Wedgie: &lt;&lt;19 12 21 -25 -20 15||
+{{Multival|legend=1| 19 12 21 -25 -20 15 }}
-{{EDOs|legend=1| 18, 23d, 41 }}
+{{Val list|legend=1| 18, 23d, 41 }}
 Badness: 0.1104
 == 11-limit ==
-Commas: 245/242, 540/539, 625/616
+Comma list: 245/242, 540/539, 625/616
 POTE generator: ~98/75 = 468.367
-Map: [&lt;1 9 7 11 14|, &lt;0 -19 -12 -21 -27|]
+Mapping: [{{val| 1 9 7 11 14 }}, {{val| 0 -19 -12 -21 -27 }}]
-{{EDOs|legend=1| 18e, 23de, 41, 228ccdd }}
+{{Val list|legend=1| 18e, 23de, 41, 228ccdd }}
 Badness: 0.0501
 == 13-limit ==
-Commas: 144/143, 196/195, 245/242, 275/273
+Comma list: 144/143, 196/195, 245/242, 275/273
 POTE generator: ~13/10 = 468.270
-Map: [&lt;1 9 7 11 14 8|, &lt;0 -19 -12 -21 -27 -11|]
+Mapping: [{{val| 1 9 7 11 14 8 }}, {{val| 0 -19 -12 -21 -27 -11 }}]
-{{EDOs|legend=1| 18e, 23de, 41 }}
+{{Val list|legend=1| 18e, 23de, 41 }}
 Badness: 0.0392