Alphatricot family: Difference between revisions

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 === Noletaland ===
-Noletaland is described as 282 & 1323, and it combines the smallest consistent edo in the 29-odd-limit with the smallest uniquely consistent. It reaches 4/3 in nine generators ([[noleta]]-…) and tempers out the landscape comma (…-land). Noletaland reaches [[13/11]] in 2 generators, and [[29/19]] in 5. Then there's [[44/25]] in 4, and [[152/115]] in also 4.
+Noletaland is described as 282 & 1323, and it combines the smallest consistent edo in the 29-odd-limit with the smallest uniquely consistent. It reaches 4/3 in nine generators ([[noleta]]-…) and tempers out the landscape comma (…-land). Noletaland reaches [[13/11]] in 2 generators, and [[29/19]] in 5. Then there is [[44/25]] in 4, and [[152/115]] in also 4.
+Subgroup: 2.3.5.7.11
+Comma list: 250047/250000, 56723625/56689952, 78675968/78594219
+Mapping: {{mapping| 3 6 19 30 35 | 0 -9 -87 -156 -178 }}
+: mappin generators: ~63/50, ~1936/1875
+Optimal tuning (CTE): ~63/50 = 1\3, ~1936/1875 = 55.3290
+{{Optimal ET sequence|legend=1| 282, 759de, 1041, 1323, 4251e }}
+Badness: 0.158
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 10648/10647, 43904/43875, 85750/85683, 250047/250000
+Mapping: {{mapping| 3 6 19 30 35 36 | 0 -9 -87 -156 -178 -180 }}
+Optimal tuning (CTE): ~63/50 = 1\3, ~1936/1875 = 55.3294
+{{Optimal ET sequence|legend=1| 282, 759def, 1041, 1323 }}
+Badness: 0.0725
+==== 17-limit ====
 Subgroup: 2.3.5.7.11.13.17
-Comma list: 2058/2057, 12376/12375, 14875/14872, 43904/43875, 250047/250000
+Comma list: 2058/2057, 4914/4913, 8624/8619, 12376/12375, 250047/250000
 Mapping: {{mapping| 3 6 19 30 35 36 29 | 0 -9 -87 -156 -178 -180 -121 }}
-Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.329
+Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.3295
+{{Optimal ET sequence|legend=1| 282, 759def, 1041, 1323 }}
+Badness: 0.0380
 ==== 19-limit ====
 Subgroup: 2.3.5.7.11.13.17.19
-Comma list: 2926/2925, 3136/3135, 5985/5984, 12376/12375, 14875/14872, 256000/255879
+Comma list: 2058/2057, 2926/2925, 3136/3135, 4200/4199, 4914/4913, 250047/250000
 Mapping: {{mapping| 3 6 19 30 35 36 29 18 | 0 -9 -87 -156 -178 -180 -121 -38 }}
-Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.329
+Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.3295
+{{Optimal ET sequence|legend=1| 282, 759def, 1041, 1323 }}
+Badness: 0.0269
 ==== 23-limit ====
 Subgroup: 2.3.5.7.11.13.17.19.23
-Comma list: 2926/2925, 3136/3135, 5985/5984, 10626/10625, 12376/12375, 21736/21735, 256000/255879
+Comma list: 2058/2057, 2926/2925, 3136/3135, 3381/3380, 3520/3519, 4914/4913, 18515/18513
 Mapping: {{mapping| 3 6 19 30 35 36 29 18 31 | 0 -9 -87 -156 -178 -180 -121 -38 -126 }}
-Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.330
+Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.3296
+{{Optimal ET sequence|legend=1| 282, 759def, 1041, 1323 }}
+Badness: 0.0194
 ==== 29-limit ====
 Subgroup: 2.3.5.7.11.13.17.19.23.29
-Comma list: 2926/2925, 3136/3135, 5104/5103, 5985/5984, 12376/12375, 21736/21735, 10626/10625, 256000/255879
+Comma list: 2058/2057, 2755/2754, 2926/2925, 3136/3135, 3381/3380, 3451/3450, 3520/3519, 4914/4913
 Mapping: {{mapping| 3 6 19 30 35 36 29 18 31 19 | 0 -9 -87 -156 -178 -180 -121 -38 -126 -32 }}
-Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.330
+Optimal tuning (CTE): ~63/50 = 1\3, ~351/340 = 55.3296
+{{Optimal ET sequence|legend=1| 282, 759def, 1041, 1323 }}
-{{Optimal ET sequence|legend=1| 282, 759def, 1041, 1323, 2082de }}
+Badness: 0.0168
 [[Category:Temperament families]]