Lehmerismic temperaments: Difference between revisions

@@ Line 151: / Line 151: @@
 Badness: 0.3602 × 10<sup>-3</sup>
+== Galaxy ==
+Subgroup: 2.3.5.7.11
+[[Comma list]]: 3025/3024, 20614528/20588575
+[[Mapping]]: [{{val| 1 0 5 -4 -5 }}, {{val| 0 1 3 -3 -3 }}, {{val| 0 0 -9 14 16 }}]
+Mapping generators: ~2, ~3, ~6125/3456
+{{Multival|legend=1| 9 -14 -16 -14 -20 5 34 35 6 21 }}
+[[POTE generator]]s: ~3/2 = 701.9856, ~6125/3456 = 991.0688
+{{Val list|legend=1| 46, 103, 121, 149, 167, 224, 270, 494, 764, 1631, 1901, 2395, 2665 }}
+[[Badness]]: 0.8406 × 10<sup>-3</sup>
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 1716/1715, 3025/3024, 4225/4224
+Mapping: [{{val| 1 0 5 -4 -5 -4 }}, {{val| 0 1 3 -3 -3 -4 }}, {{val| 0 0 -9 14 16 17 }}]
+Mapping generators: ~2, ~3, ~484/273
+POTE generators: ~3/2 = 701.9368, ~484/273 = 991.0597
+Vals: {{val list| 46, 75e, 103, 121, 149, 224, 270, 494, 764, 1137, 1258, 1361, 1631, 2125 }}
+Badness: 0.4631 × 10<sup>-3</sup>
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 715/714, 936/935, 1225/1224, 4225/4224
+Mapping: [{{val| 1 0 5 -4 -5 -4 -1 }}, {{val| 0 1 3 -3 -3 -4 -2 }}, {{val| 0 0 -9 14 16 17 10 }}]
+Mapping generators: ~2, ~3, ~85/48
+POTE generators: ~3/2 = 702.1144, ~85/48 = 991.1035
+Vals: {{val list| 46, 75e, 103, 121, 149, 167, 224, 270, 494g }}
+Badness: 0.9334 × 10<sup>-3</sup>
 [[Category:Regular temperament theory]]