User:Francium/Miscellaneous rank-3 temperaments: Difference between revisions

@@ Line 168: / Line 168: @@
 Badness: 0.177
+== 41 & 53 & 167 ==
+Subgroup: 2.3.5.7
+Comma list: 20480000/20253807
+Mapping: <br>
+{| class="right-all"
+| [⟨ || 1 || 0 || 0 || 5 || ],
+|-
+| ⟨ || 0 || 1 || 1 || -2 || ],
+|-
+| ⟨ || 0 || 0 || 3 || 4 || ],
+|}
+CTE generators: ~2 = 1199.544, ~3/2 = 703.173, ~189/160 = 294.314
+Optimal ET sequence|legend=1|9c, 12, 29, 41, 53, 94, 167, 179, 208, 220, 481bd, 493bd, 534bd, 754bdd}}
+Badness: 12.361
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 2200/2187, 102400/101871
+Mapping: <br>
+{| class="right-all"
+| [⟨ || 1 || 0 || 0 || 5 || -3 || ],
+|-
+| ⟨ || 0 || 1 || 1 || -2 || 5 || ],
+|-
+| ⟨ || 0 || 0 || 3 || 4 || -6 || ],
+|}
+CTE generators: ~2 = 1199.676, ~3/2 = 703.329, ~189/160 = 294.194
+{{Optimal ET sequence|legend=1|9c, 12e, 20ce, 32c, 41, 53, 94, 167, 208, 220, 261}}
+Badness: 4.132
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 325/324, 352/351, 41600/41503
+Mapping: <br>
+{| class="right-all"
+| [⟨ || 1 || 0 || 0 || 5 || -3 || 2 || ],
+|-
+| ⟨ || 0 || 1 || 1 || -2 || 5 || 2 || ],
+|-
+| ⟨ || 0 || 0 || 3 || 4 || -6 || -6|| ],
+|}
+CTE generators: ~2 = 1199.700, ~3/2 = 703.310, ~189/160 = 294.172
+{{Optimal ET sequence|legend=1|12e, 20ce, 41, 53, 94, 167, 208, 261}}
+Badness: 2.413