Meantone family: Difference between revisions

@@ Line 288: / Line 288: @@
 Badness: 0.020883
+==== Septendecimal meanpop ====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 81/80, 105/104, 126/125, 144/143, 273/272
+Mapping: [{{val| 1 0 -4 -13 24 -20 -?}}, {{val| 0 1 4 10 -13 15 26}}]
+Mapping generator: ~2, ~3
+POTE generator: ~3/2 = 696.211
+Minimax tuning:
+* 13- and 15-odd-limit: ~3/2 = {{Monzo| 4/7 0 0 0 -1/28 1/28 }}
+: Eigenmonzos (unchanged intervals): 2, 13/11
+Tuning ranges:
+* 17-odd-limit diamond monotone: ~3/2 = [694.737, 696.774] (11\19 to 18\31)
+* 17-odd-limit diamond tradeoff: ~3/2 = [691.202, 701.955]
+* 17-odd-limit diamond monotone and tradeoff: ~3/2 = [694.737, 696.774]
+Optimal GPV sequence: {{Val list| 19g, 31, 50, 81 }}
+==== Enneadecimal meanpop ====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 81/80, 105/104, 126/125, 144/143, 153/152, 273/272
+Mapping: [{{val| 1 0 -4 -13 24 -20 -? -?}}, {{val| 0 1 4 10 -13 15 26 28}}]
+Mapping generator: ~2, ~3
+POTE generator: ~3/2 = 696.211
+Minimax tuning:
+* 19- and 21-odd-limit: ~3/2 = {{Monzo| 4/7 0 0 0 -1/28 1/28 }}
+: Eigenmonzos (unchanged intervals): 2, 13/11
+Tuning ranges:
+* 19- and 21-odd-limit diamond monotone: ~3/2 = [694.737, 696.774] (11\19 to 18\31)
+* 19- and 21-odd-limit diamond tradeoff: ~3/2 = [691.202, 701.955]
+* 19- and 21-odd-limit diamond monotone and tradeoff: ~3/2 = [694.737, 696.774]
+Optimal GPV sequence: {{Val list| 19gh, 31, 50, 81 }}
 ==== Meanplop ====