Misty family: Difference between revisions

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 {{Mapping|legend=1| 3 0 26 | 0 1 -4 }}
+: mapping generators: ~512/405, ~3
 [[Optimal tuning]] ([[POTE]]): ~512/405 = 1\3, ~3/2 = 703.111
@@ Line 28: / Line 30: @@
 {{Mapping|legend=1| 3 0 26 56 | 0 1 -4 -10 }}
+: mapping generators: ~63/50, ~3
 {{Multival|legend=1| 3 -12 -30 -26 -56 -36 }}
-[[Optimal tuning]] ([[CTE]]): ~63/50 = 1\3, ~3 = 1903.145
+[[Optimal tuning]] ([[CTE]]): ~63/50 = 1\3, ~3/2 = 703.145
 {{Optimal ET sequence|legend=1| 12, 87, 99 }}
@@ Line 38: / Line 42: @@
 === 2.3.5.7.17 subgroup ===
-[[Subgroup]]: 2.3.5.7.17
+The [[S-expression]]-based comma list for this extension is {([[5120/5103|S8/S9]],) [[2025/2023|S15/S17]], [[256/255|S16]], [[1701/1700|S18/S20]](, [[2500/2499|S50]])}, and for the 2.3.5.7.17.19 subgroup extension, {([[5120/5103|S8/S9]],) [[256/255|S16]], [[324/323|S18]], [[400/399|S20]], [[1445/1444|S17/S19]](, [[2500/2499|S50]])}.
-[[S-expression]]-based [[comma list]]: {([[5120/5103|S8/S9]],) [[2025/2023|S15/S17]], [[256/255|S16]], [[1701/1700|S18/S20]](, [[2500/2499|S50]])}
+Subgroup: 2.3.5.7.17
-[[Comma list]]: 3136/3125, 5120/5103, 256/255
+Comma list: 256/255, 1701/1700, 2025/2023
-{{Mapping|legend=2| 3 0 26 56 -2 | 0 1 -4 -10 3 }}
+Sval mapping: {{mapping| 3 0 26 56 -2 | 0 1 -4 -10 3 }}
-[[Optimal tuning]] ([[CTE]]): ~63/50 = 1\3, ~3 = 1903.096
+: sval mapping generators: ~34/27, ~3
-[[Patent val]] [[EDO]]s: 12, 87, 99, 111
+Optimal tuning (CTE): ~34/27 = 1\3, ~3/2 = 703.0963
+Optimal ET sequence: {{Optimal ET sequence| 12, 87, 99, 309cdg, 408cdgg, 507cdggg }}
+Badness: 0.0186
 ==== 2.3.5.7.17.19 subgroup ====
-[[Subgroup]]: 2.3.5.7.17.19
+Subgroup: 2.3.5.7.17.19
+Comma list: 256/255, 324/323, 400/399, 476/475
-[[S-expression]]-based [[comma list]]: {([[5120/5103|S8/S9]],) [[256/255|S16]], [[324/323|S18]], [[400/399|S20]], [[1445/1444|S17/S19]](, [[2500/2499|S50]])}
+Sval mapping: {{mapping| 3 0 26 56 -2 8 | 0 1 -4 -10 3 1 }}
-[[Comma list]]: 3136/3125, 5120/5103, 256/255, 324/323
+: sval mapping generators: ~24/19, ~3
-{{Mapping|legend=2| 3 0 26 56 -2 8 | 0 1 -4 -10 3 1 }}
+Optimal tuning (CTE): ~24/19 = 1\3, ~3/2 = 703.0778
-[[Optimal tuning]] ([[CTE]]): ~24/19 = 1\3, ~3 = 1903.078
+Optimal ET sequence: {{Optimal ET sequence| 12, 87, 99, 210gh, 309cdghh }}
-[[Patent val]] [[EDO]]s: 12, 87, 99, 111
+Badness: 0.0132
 === Undecimal misty ===