Porcupine rank three family: Difference between revisions

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-These are the rank three temperaments tempering out the porcupine comma or maximal diesis, 250/243. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.
+These are the rank-3 temperaments tempering out the porcupine comma or maximal diesis, [[250/243]]. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.
-==Sonic==
+== Sonic ==
-Commas: 55/54, 100/99
+Subgroup: 2.3.5.7.11
-Map: [&lt;1 2 3 0 4|, &lt;0 -3 -5 0 -4|, &lt;0 0 0 1 0|]
+[[Comma list]]: 55/54, 100/99
-Generators: ~10/9 = 164.078, ~7 = 3367.841
+[[Mapping]]: [{{val| 1 2 3 0 4 }}, {{val| 0 -3 -5 0 -4 }}, {{val| 0 0 0 1 0 }}]
-EDOs: 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce
+[[POTE generator]]s: ~10/9 = 164.078, ~7/4 = 967.841
-Badness: 0.000523
+{{Val list|legend=1| 7, 14c, 15, 22, 37, 44d, 51, 66, 73ce, 139bce, 212bce }}
-==Tikal==
+[[Badness]]: 0.523 × 10<sup>-3</sup>
-Commas: 56/55, 250/243
-Map: [&lt;1 2 3 0 0], &lt;0 -3 -5 0 5|, &lt;0 0 0 1 1|]
+== Tikal ==
+Subgroup: 2.3.5.7.11
-POTE generators: ~10/9 = 161.519, ~7 = 3371.046
+[[Comma list]]: 56/55, 250/243
-EDOs: 15, 37e, 52be
+[[Mapping]]: [{{val| 1 2 3 0 0 }}, {{val| 0 -3 -5 0 5 }}, {{val| 0 0 0 1 1 }}]
-Badness: 0.001973
+[[POTE generator]]s: ~10/9 = 161.519, ~7/4 = 971.046
+{{Val list|legend=1| 15, 37e, 52be }}
+[[Badness]]: 1.973 × 10<sup>-3</sup>
+[[Category:Regular temperament theory]]
+[[Category:Temperament family]]
+[[Category:Porcupine rank-3 family| ]] <!-- main article -->
+[[Category:Rank 3]]