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

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@@ Line 2,704: / Line 2,704: @@
 Badness: 3.762
+== 457 & 541 ==
+Subgroup: 2.5.7.13
+Comma list: 10985/10976, 25044381618499755859375/24939997987655313784832
+Mapping: [{{val|1 5 -21 -21}}, {{val|0 -9 80 83}}]
+POTE generator: ~16777216/13671875 = 357.1090
+{{Optimal ET sequence|legend=1|37df, 84, 289, 373, 457, 830, 1287, 2117cf}}
+Badness: 3.521
+=== 17-limit ===
+Subgroup: 2.5.7.13.17
+Comma list: 10985/10976, 1953125/1949696, 1073741824/1073446283
+Mapping: [{{val|1 5 -21 -21 52}}, {{val|0 -9 80 83 -161}}]
+POTE generator: ~1024/833 = 357.1118
+{{Optimal ET sequence|legend=1|84, 373, 457}}
+Badness: 3.336
+=== 19-limit ===
+Subgroup: 2.5.7.13.17.19
+Comma list: 10985/10976, 524875/524288, 500000/499681, 300352/300125
+Mapping: [{{val|1 5 -21 -21 52 -27}}, {{val|0 -9 80 83 -161 105}}]
+POTE generator: ~3325/2704 = 357.1127
+{{Optimal ET sequence|legend=1|84, 373, 457, 1455h}}
+Badness: 2.258
+=== 23-limit ===
+Subgroup: 2.5.7.13.17.19.23
+Comma list: 2875/2873, 52003/52000, 153125/153088, 186875/186592, 300352/300125
+Mapping: [{{val|1 5 -21 -21 52 -27 -5}}, {{val|0 -9 80 83 -161 105 32}}]
+POTE generator: ~1024/833 = 357.1127
+{{Optimal ET sequence|legend=1|84, 373, 457, 1455hi}}
+Badness: 1.565
+=== 29-limit ===
+Subgroup: 2.5.7.13.17.19.23.29
+Comma list: 1625/1624, 52003/52000, 4901/4900, 153125/153088, 3335/3332, 1245335/1245184
+Mapping: [{{val|1 5 -21 -21 52 -27 -5 12}}, {{val|0 -9 80 83 -161 105 32 -24}}]
+POTE generator: ~30875/25088 = 357.1127
+{{Optimal ET sequence|legend=1|84, 373, 457, 1455hi}}
+Badness: 1.195
+=== 31-limit ===
+Subgroup: 2.5.7.13.17.19.23.29.31
+Comma list: 1625/1624, 1520/1519, 52003/52000, 4901/4900, 153125/153088, 3335/3332, 9425/9424
+Mapping: [{{val|1 5 -21 -21 52 -27 -5 12 24}}, {{val|0 -9 80 83 -161 105 32 -24 -64}}]
+POTE generator: ~30875/25088 = 357.1128
+{{Optimal ET sequence|legend=1|84, 373, 457, 1455hi}}
+Badness: 1.024
+=== 37-limit ===
+Subgroup: 2.5.7.13.17.19.23.29.31.37
+Comma list: 1625/1624, 1520/1519, 52003/52000, 4901/4900, 153125/153088, 3335/3332, 9425/9424, 25415/25382
+Mapping: [{{val|1 5 -21 -21 52 -27 -5 12 24 93}}, {{val|0 -9 80 83 -161 105 32 -24 -64 -295}}]
+POTE generator: ~30875/25088 = 357.1138
+{{Optimal ET sequence|legend=1|84l, 457, 998i}}
+Badness: 1.427
 == 487 & 691 ==