Orwellismic temperaments: Difference between revisions

@@ Line 298: / Line 298: @@
 [[Comma list]]: 1728/1715, 179200/177147
-{{Mapping|legend=1| 5 8 12 14 | 0 -1 -6 1 }}
+{{Mapping|legend=1| 5 0 -36 22 | 0 1 6 -1 }}
-[[Optimal tuning]] ([[POTE]]): ~280/243 = 1\5, ~7/4 = 975.0872
+[[Optimal tuning]]s:
+* [[CTE]]: ~280/243 = 1\5, ~3/2 = 704.3709 (~64/63 = 15.6291)
+* [[POTE]]: ~280/243 = 1\5, ~3/2 = 704.9128 (~64/63 = 15.0872)
 {{Optimal ET sequence|legend=1| 5, 75, 80 }}
@@ Line 311: / Line 313: @@
 Comma list: 896/891, 1728/1715, 2200/2187
-Mapping: {{mapping| 5 8 12 14 17 | 0 -1 -6 1 5 }}
+Mapping: {{mapping| 5 0 -36 22 57 | 0 1 6 -1 -5 }}
-Optimal tuning (POTE): ~55/48 = 1\5, ~7/4 = 975.1212
+Optimal tunings:
+* CTE: ~55/48 = 1\5, ~3/2 = 704.8440 (~99/98 = 15.1560)
+* POTE: ~55/48 = 1\5, ~3/2 = 704.8788 (~99/98 = 15.1212)
-Optimal ET sequence: {{Optimal ET sequence| 5, 75e, 80 }}
+Optimal ET sequence: {{Optimal ET sequence| 75e, 80, 315bcdddee }}
 Badness: 0.071702
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 325/324, 352/351, 364/363, 1728/1715
+Mapping: {{mapping| 5 0 -36 22 57 82 | 0 1 6 -1 -5 -8 }}
+Optimal tunings:
+* CTE: ~55/48 = 1\5, ~3/2 = 704.7636 (~99/98 = 15.2364)
+* CWE: ~55/48 = 1\5, ~3/2 = 704.7112 (~99/98 = 15.2882)
+Optimal ET sequence: {{Optimal ET sequence| 75e, 80, 155de }}
+Badness: 0.0557
 [[Category:Temperament collections]]