Meantone family: Difference between revisions

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@@ Line 177: / Line 177: @@
 Badness: 0.018048
+===== 17-limit =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 66/65, 81/80, 99/98, 105/104, 121/119
+Mapping: [{{val|1 0 -4 -13 -25 -20 -37}}, {{val|0 1 4 10 18 15 26}}]
+POTE generator: ~3/2 = 696.377
+Optimal GPV sequence: {{Val list| 19eg, 31, 50e, 81ee }}
+Badness: 0.019037
+====== 19-limit ======
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 66/65, 77/76, 81/80, 99/98, 105/104, 121/119
+Mapping: [{{val|1 0 -4 -13 -25 -20 -37 -40}}, {{val|0 1 4 10 18 15 26 28}}]
+POTE generator: ~3/2 = 696.273
+Optimal GPV sequence: {{Val list| 19egh, 31, 50e, 81ee }}
+Badness: 0.017846
+===== Meantoid =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 51/50, 66/65, 81/80, 85/84, 99/98
+Mapping: [{{val|1 0 -4 -13 -25 -20 -7}}, {{val|0 1 4 10 18 15 7}}]
+POTE generator: ~3/2 = 696.448
+Optimal GPV sequence: {{Val list| 12f, 19eg, 31g }}
+Badness: 0.019433
+====== 19-limit ======
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 51/50, 57/56, 66/65, 81/80, 85/84, 99/98
+Mapping: [{{val|1 0 -4 -13 -25 -20 -7 -10}}, {{val|0 1 4 10 18 15 7 9}}]
+POTE generator: ~3/2 = 696.394
+Optimal GPV sequence: {{Val list| 12f, 19egh, 31gh }}
+Badness: 0.017437
+===== Huygens =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 66/65, 81/80, 99/98, 105/104, 120/119
+Mapping: [{{val|1 0 -4 -13 -25 -20 12}}, {{val|0 1 4 10 18 15 -5}}]
+POTE generator: ~3/2 = 697.003
+Optimal GPV sequence: {{Val list| 12f, 19e, 31 }}
+Badness: 0.019982
+====== 19-limit ======
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 66/65, 81/80, 96/95, 99/98, 105/104, 120/119
+Mapping: [{{val|1 0 -4 -13 -25 -20 12 9}}, {{val|0 1 4 10 18 15 -5 -3}}]
+POTE generator: ~3/2 = 697.140
+Optimal GPV sequence: {{Val list| 12f, 19e, 31, 74ffgh, 105ffgh }}
+Badness: 0.018047
 ==== Grosstone ====
@@ Line 242: / Line 320: @@
 Badness: 0.026421
+===== 17-limit =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 78/77, 81/80, 99/98, 126/125, 273/272
+Mapping: [{{val|1 0 -4 -13 -25 -39 -56}}, {{val|0 1 4 10 18 27 38}}]
+POTE generator: ~3/2 = 697.514
+Optimal GPV sequence: {{Val list| 31fg, 43, 117df, 160bdff}}
+Badness: 0.027706
+====== 19-limit ======
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 78/77, 81/80, 99/98, 126/125, 153/152, 273/272
+Mapping: [{{val|1 0 -4 -13 -25 -39 -56 -59}}, {{val|0 1 4 10 18 27 38 40}}]
+POTE generator: ~3/2 = 697.481
+Optimal GPV sequence: {{Val list| 31fgh, 43, 74f, 117df, 160bdff }}
+Badness: 0.025315
+===== Meridetoid =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 51/50, 78/77, 81/80, 85/84, 99/98
+Mapping: [{{val|1 0 -4 -13 -25 -39 -7}}, {{val|0 1 4 10 18 27 7}}]
+POTE generator: ~3/2 = 697.376
+Optimal GPV sequence: {{Val list| 12f, 31fg, 43g, 74fgg }}
+Badness: 0.027518
+====== 19-limit ======
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 51/50, 57/56, 78/77, 81/80, 85/84, 99/98
+Mapping: [{{val|1 0 -4 -13 -25 -39 -7 -10}}, {{val|0 1 4 10 18 27 7 9}}]
+POTE generator: ~3/2 = 697.316
+Optimal GPV sequence: {{Val list| 12f, 19effgh, 31fgh, 43gh, 74fgghh }}
+Badness: 0.023613
+===== Sauveuric =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 78/77, 81/80, 99/98, 120/119, 126/125
+Mapping: [{{val|1 0 -4 -13 -25 -39 12}}, {{val|0 1 4 10 18 27 -5}}]
+POTE generator: ~3/2 = 697.644
+Optimal GPV sequence: {{Val list| 12f, 31f, 43 }}
+Badness: 0.023881
+====== 19-limit ======
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 78/77, 81/80, 96/95, 99/98, 120/119, 126/125
+Mapping: [{{val|1 0 -4 -13 -25 -39 12 9}}, {{val|0 1 4 10 18 27 -5 -3}}]
+POTE generator: ~3/2 = 697.715
+Optimal GPV sequence: {{Val list| 12f, 31f, 43 }}
+Badness: 0.020540
 ==== Hemimeantone ====