User:Francium/Miscellaneous rank-2 temperaments: Difference between revisions

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@@ Line 2,170: / Line 2,170: @@
 Badness: 3.125
+== 311 & 431 ==
+Subgroup: 2.3.5.7.11
+Comma list: 2401/2400, 820125/819896, 22478848/22460625
+Mapping: [{{val|1 -27 55 22 -19}}, {{val|0 70 -129 -47 55}}]
+POTE generator: ~896/675 = 490.0279
+{{Optimal ET sequence|legend=1|120, 191, 311, 742, 1053, 1795}}
+Badness: 1.729
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 4096/4095, 2401/2400, 59535/59488, 6656/6655
+Mapping: [{{val|1 -27 55 22 -19 -11}}, {{val|0 70 -129 -47 55 36}}]
+POTE generator: ~896/675 = 490.0277
+{{Optimal ET sequence|legend=1|120, 191, 311, 742, 1053, 1795f}}
+Badness: 1.343
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 4096/4095, 12376/12375, 2401/2400, 14400/14399, 11016/11011
+Mapping: [{{val|1 -27 55 22 -19 -11 78}}, {{val|0 70 -129 -47 55 36 -181}}]
+POTE generator: ~896/675 = 490.0276
+{{Optimal ET sequence|legend=1|120g, 191g, 311, 431, 742, 1795f}}
+Badness: 1.070
+=== 19-limit ===
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 5985/5984, 11016/11011
+Mapping: [{{val|1 -27 55 22 -19 -11 78 41}}, {{val|0 70 -129 -47 55 36 -181 -90}}]
+POTE generator: ~896/675 = 490.0276
+{{Optimal ET sequence|legend=1|120g, 191g, 311, 431, 742, 1795f}}
+Badness: 0.838
+=== 23-limit ===
+Subgroup: 2.3.5.7.11.13.17.19.23
+Comma list: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 2025/2024, 5985/5984, 11016/11011
+Mapping: [{{val|1 -27 55 22 -19 -11 78 41 18}}, {{val|0 70 -129 -47 55 36 -181 -90 -33}}]
+POTE generator: ~896/675 = 490.0275
+{{Optimal ET sequence|legend=1|120g, 191g, 311, 431, 742i}}
+Badness: 1.010
+=== 29-limit ===
+Subgroup: 2.3.5.7.11.13.17.19.23.29
+Comma list: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 2025/2024, 5985/5984, 11016/11011, 2205/2204
+Mapping: [{{val|1 -27 55 22 -19 -11 78 41 18 2}}, {{val|0 70 -129 -47 55 36 -181 -90 -33 7}}]
+POTE generator: ~896/675 = 490.0274
+{{Optimal ET sequence|legend=1|120g, 191g, 311, 431, 742i}}
+Badness: 0.969
 == 311 & 503 ==