Catalog of rank-4 temperaments: Difference between revisions

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 == Semicanousmic (14641/14580) ==
-See [[Semicanousmic clan #Semicanousmic]].
+Subgroup: 2.3.5.7.11
+[[Comma list]]: [[14641/14580]]
+[[Mapping]]: [{{val| 1 0 2 0 1 }}, {{val| 0 1 2 0 2 }}, {{val| 0 0 -4 0 -1 }}, {{val| 0 0 0 1 0 }}]
+Mapping generators: ~2, ~3, ~18/11, ~7
+[[POTE generator]]s: ~3/2 = 702.2503, ~18/11 = 854.5421, ~7/4 = 968.6866
+{{Val list|legend=1| 14c, 17c, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410, 851e }}
+[[Badness]]: 0.351 × 10<sup>-6</sup>
+=== Tridecimal semicanousmic ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 2080/2079, 14641/14580
+Mapping: [{{val| 1 0 2 0 1 -6 }}, {{val| 0 1 2 0 2 3 }}, {{val| 0 0 -4 0 -1 3 }}, {{val| 0 0 0 1 0 1 }}]
+POTE generators: ~3/2 = 702.4931, ~18/11 = 854.6400, ~7/4 = 969.0099
+Optimal GPV sequence: {{val list| 87, 111, 181, 198, 323, 410 }}
+Badness: 17.1 × 10<sup>-6</sup>
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 715/714, 1089/1088, 14641/14580
+Mapping: [{{val| 1 0 2 0 1 -6 -4 }}, {{val| 0 1 2 0 2 3 6 }}, {{val| 0 0 -4 0 -1 3 -2 }}, {{val| 0 0 0 1 0 1 0 }}]
+POTE generators: ~3/2 = 702.4099, ~18/11 = 854.6338, ~7/4 = 969.0228
+Optimal GPV sequence: {{val list| 87, 94, 111, 181, 198g, 212g, 292, 323, 410 }}
+Badness: 34.0 × 10<sup>-6</sup>
+==== 19-limit ====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 715/714, 1089/1088, 1216/1215, 1445/1444
+Mapping: [{{val| 1 0 2 0 1 -6 -4 -4 }}, {{val| 0 1 2 0 2 3 6 7 }}, {{val| 0 0 -4 0 -1 3 -2 -4 }}, {{val| 0 0 0 1 0 1 0 0 }}]
+POTE generators: ~3/2 = 702.3413, ~18/11 = 854.6472, ~7/4 = 968.9734
+Optimal GPV sequence: {{val list| 87, 94, 111, 181, 205, 212gh, 292h, 299, 323, 410, 622ef }}
+Badness: 41.9 × 10<sup>-6</sup>
 == Semiporwellismic (16384/16335) ==