Marvel temperaments: Difference between revisions

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 Negri tempers out the [[negri comma]] in the 5-limit, [[49/48]] and [[225/224]] in the 7-limit. It can be extended naturally to the 2.3.5.7.13 subgroup by adding [[91/90]] to the comma list; this will be discussed below under the title of negra.
 Subgroup: 2.3.5
@@ Line 509: / Line 510: @@
 Badness: 0.027544
+== Untriton ==
+: ''For the 5-limit version of this temperament, see [[High badness temperaments #Untriton]].''
+Subgroup: 2.3.5.7
+[[Comma list]]: 225/224, 125000000/121060821
+[[Mapping]]: [{{Val|1 6 -7 -7}}, {{Val|0 -9 19 20}}]
+{{Multival|legend=1|9 -19 -20 -51 -57 7}}
+[[POTE generator]]: ~7/5 = 588.641
+{{Val list|legend=1| 51, 53, 316cd, 369cdd, 422cdd }}
+[[Badness]]: 0.143976
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 121/120, 225/224, 22000/21609
+Mapping: [{{Val|1 6 -7 -7 1}}, {{Val|0 -9 19 20 5}}]
+POTE generator: ~7/5 = 588.626
+Vals: {{Val list| 51, 53 }}
+Badness: 0.074295
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 121/120, 225/224, 275/273, 1040/1029
+Mapping: [{{Val|1 6 -7 -7 1 -12}}, {{Val|0 -9 19 20 5 32}}]
+POTE generator: ~7/5 = 588.654
+Vals: {{Val list| 51f, 53 }}
+Badness: 0.047441
 == Septimin ==
@@ Line 552: / Line 596: @@
 Badness: 0.023117
+== Misneb ==
+: ''For the 5-limit version of this temperament, see [[High badness temperaments #Misneb]].''
+Subgroup: 2.3.5.7
+[[Comma list]]: 225/224, 4194304/4117715
+[[Mapping]]: [{{Val|1 3 1 3}}, {{Val|0 -15 14 -2}}]
+{{Multival|legend=1|15 -14 2 -57 -39 44}}
+[[POTE generator]]: ~16/15 = 113.235
+{{Val list|legend=1| 21, 32, 53 }}
+[[Badness]]: 0.140970
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 99/98, 176/175, 1310720/1294139
+Mapping: [{{Val|1 3 1 3 1}}, {{Val|0 -15 14 -2 26}}]
+POTE generator: ~16/15 = 113.323
+Vals: {{Val list| 21, 32e, 53, 127, 180de }}
+Badness: 0.085390
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 99/98, 176/175, 640/637, 847/845
+Mapping: [{{Val|1 3 1 3 1 2}}, {{Val|0 -15 14 -2 26 18}}]
+POTE generator: ~16/15 = 113.323
+Vals: {{Val list| 21, 32e, 53, 127, 180de }}
+Badness: 0.045569
+=== Musneb ===
+Subgroup: 2.3.5.7.11
+Comma list: 225/224, 385/384, 66550/64827
+Mapping: [{{Val|1 3 1 3 6}}, {{Val|0 -15 14 -2 -27}}]
+POTE generator: ~16/15 = 113.142
+Vals: {{Val list| 32, 53, 191de, 244cddee, 297cddee }}
+Badness: 0.087333
 == Slender ==
-Slender (31 & 32) tempers out the [[Hewuermera temperaments|hewuermera comma]] in addition to the marvel comma, this has a generator [[49/48]], 3 of which equal marvel's 16/15 - 15/14, and 10 generators is 5/4.
+Slender (31&amp;32) tempers out the [[Hewuermera temperaments|hewuermera comma]] in addition to the marvel comma, this has a generator [[49/48]], 3 of which equal marvel's 16/15 - 15/14, and 10 generators is 5/4.
 Subgroup: 2.3.5.7
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 Aside from the marvel comma, the ''quintapole'' temperament (12&amp;85) tempers out 7812500/7411887 (sepru-atritriyo). In the 11-limit, it tempers out the ptolemisma (100/99) as well as 85184/84035 (trilo-aquinru-agu). It is so named for the following reasons - it has the same commas as the [[Marvel family #Appolo|apollo temperament]], and its generator is a semitone five of which gives a flat fourth (~4/3, about 495 cents). Proper pronunciation of the word "quintapole" is /'kwɪntəpəʊl/ or /'kwɪntəpoʊl/, like as "quint-a-pole". ''Not to be confused with [[Octagar temperaments #Quintupole|quint<u>'''u'''</u>pole]] temperament (12&amp;121).''
 Subgroup: 2.3.5.7