Meantone family: Difference between revisions

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@@ Line 289: / Line 289: @@
 Badness: 0.020883
-==== Septendecimal meanpop ====
+===== 17-limit =====
 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: [{{val| 1 0 -4 -13 24 -20 -37 }}, {{val| 0 1 4 10 -13 15 26 }}]
 Mapping generator: ~2, ~3
-POTE generator: ~3/2 = 696.211
+POTE generator: ~3/2 = 696.194
-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 }}
+Optimal GPV sequence: {{Val list| 19g, 31, 50, 81, 131bd }}
-==== Enneadecimal meanpop ====
+Badness: 0.019953
+===== 19-limit =====
 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: [{{val| 1 0 -4 -13 24 -20 -37 -40 }}, {{val| 0 1 4 10 -13 15 26 28 }}]
 Mapping generator: ~2, ~3
-POTE generator: ~3/2 = 696.211
+POTE generator: ~3/2 = 696.188
-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:
+Optimal GPV sequence: {{Val list| 19gh, 31, 50, 81, 131bd }}
-* 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 }}
+Badness: 0.017791
 ==== Meanplop ====