Countercomp family: Difference between revisions

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@@ Line 94: / Line 94: @@
 Mapping generators: ~100352/98415, ~567/256
-[[Optimal tuning]] ([[POTE]]): ~100352/98415 = 1\41, ~567/512 = 178.7115
+[[Optimal tuning]] ([[CTE]]): ~100352/98415 = 1\41, ~567/512 = 178.5314 (~5120/5103 = 2.9216)
-{{Val list|legend=1| 41, 328, 369, 779 }}
+{{Val list|legend=1| 41, …, 328, 369, 779, 1927bc }}
 [[Badness]]: 0.134559
-=== 11-limit ===
+=== Hemicocomp ===
 Subgroup: 2.3.5.7.11
@@ Line 107: / Line 107: @@
 Mapping: [{{val| 41 65 1 68 189 }}, {{val| 0 0 2 1 -1 }}]
-Optimal tuning (POTE): ~56/55 = 1\41, ~567/512 = 178.9285
+Optimal tuning (CTE): ~56/55 = 1\41, ~567/512 = 178.6944 (~3025/3024 = 3.0846)
-Optimal GPV sequence: {{Val list| 41, 328, 369 }}
+Optimal GPV sequence: {{Val list| 41, …, 328, 369, 1066cee }}
 Badness: 0.064400
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 2080/2079, 2401/2400, 3584/3575, 10648/10647
+Mapping: [{{val| 41 65 1 68 189 246 }}, {{val| 0 0 2 1 -1 -2 }}]
+Optimal tuning (CTE): ~56/55 = 1\41, ~72/65 = 178.9389 (~352/351 = 3.3291)
+Optimal GPV sequence: {{Val list| 41, …, 328, 369f, 697cef }}
+Badness: 0.0416
 === Hemermacomp ===
@@ Line 120: / Line 133: @@
 Mapping: [{{val| 41 65 1 68 236 }}, {{val| 0 0 2 1 -2 }}]
-Optimal tuning (POTE): ~55/54 = 1\41, ~256/231 = 178.3714
+Optimal tuning (CTE): ~55/54 = 1\41, ~256/231 = 178.3836 (~3024/3025 = 2.7738)
-Optimal GPV sequence: {{Val list| 41, 328e, 369e, 410, 451, 861e, 2173bcee }}
+Optimal GPV sequence: {{Val list| 41, …, 410, 451, 861e }}
 Badness: 0.100152
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049
+Mapping: [{{val| 41 65 1 68 236 293 }}, {{val| 0 0 2 1 -2 -3 }}]
+Optimal tuning (CTE): ~55/54 = 1\41, ~72/65 = 178.3755 (~352/351 = 2.7657)
+Optimal GPV sequence: {{Val list| 41, …, 410, 451, 861e }}
+Badness: 0.0605
 [[Category:Temperament families]]
 [[Category:Countercomp family| ]] <!-- main article -->
 [[Category:Rank 2]]