Schismatic family: Difference between revisions

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@@ Line 905: / Line 905: @@
 Comma list: 441/440, 4375/4356, 32805/32768
-Mapping: [{{val|3 5 5 4 4}}, {{val|0 -1 8 18 26}}]
+Mapping: [{{val| 3 0 45 94 134 }}, {{val| 0 1 -8 -18 -26 }}]
-POTE generator: ~35/33 = 98.176
+POTE generator: ~3/2 = 701.824
 Vals: {{Val list| 12, 147de, 159, 330 }}
@@ Line 918: / Line 918: @@
 Comma list: 364/363, 441/440, 625/624, 13720/13689
-Mapping: [{{val|3 5 5 4 4 3}}, {{val|0 -1 8 18 26 33}}]
+Mapping: [{{val| 3 0 45 94 134 168 }}, {{val| 0 1 -8 -18 -26 -33 }}]
-POTE generator: ~35/33 = 98.179
+POTE generator: ~3/2 = 701.821
 Vals: {{Val list| 12f, 147def, 159, 330 }}
@@ Line 931: / Line 931: @@
 Comma list: 364/363, 375/374, 441/440, 595/594, 8624/8619
-Mapping: [{{val|3 5 5 4 4 3 13}}, {{val|0 -1 8 18 26 33 -3}}]
+Mapping: [{{val| 3 0 45 94 134 168 -2 }}, {{val| 0 1 -8 -18 -26 -33 3 }}]
-POTE generator: ~18/17 = 98.190
+POTE generator: ~3/2 = 701.810
 Vals: {{Val list| 12f, 147def, 159, 171, 330 }}
@@ Line 944: / Line 944: @@
 Comma list: 540/539, 32805/32768, 137781/137500
-Mapping: [{{val|3 5 5 4 18}}, {{val|0 -1 8 18 -31}}]
+Mapping: [{{val| 3 0 45 94 -137 }}, {{val| 0 1 -8 -18 31 }}]
-POTE generator: ~1323/1250 = 98.315
+POTE generator: ~3/2 = 701.685
 Vals: {{Val list| 12e, 159e, 171, 183, 354, 537, 891de }}
@@ Line 957: / Line 957: @@
 Comma list: 540/539, 729/728, 4096/4095, 31250/31213
-Mapping: [{{val|3 5 5 4 18 17}}, {{val|0 -1 8 18 -31 -24}}]
+Mapping: [{{val| 3 0 45 94 -137 -103 }}, {{val| 0 1 -8 -18 31 24 }}]
-POTE generator: ~55/52 = 98.311
+POTE generator: ~3/2 = 701.689
 Vals: {{Val list| 171, 183, 354, 891de, 1245dee, 1599ddee }}
@@ Line 970: / Line 970: @@
 Comma list: 540/539, 729/728, 936/935, 1156/1155, 4096/4095
-Mapping: [{{val|3 5 5 4 18 17 13}}, {{val|0 -1 8 18 -31 -24 -3}}]
+Mapping: [{{val| 3 0 45 94 -137 -103 -2 }}, {{val| 0 1 -8 -18 31 24 3 }}]
-POTE generator: ~18/17 = 98.312
+POTE generator: ~3/2 = 701.688
 Vals: {{Val list| 171, 183, 354, 891de, 1245dee, 1599ddee }}
@@ Line 985: / Line 985: @@
 Comma list: 9801/9800, 32805/32768, 151263/151250
-Mapping: [{{val| 6 10 10 8 7 }}, {{val| 0 -1 8 18 28 }}]
+Mapping: [{{val| 6 0 90 188 287 }}, {{val| 0 1 -8 -18 -28 }}]
-POTE generator: ~35/33 = 98.254
+Mapping generators: ~55/49, ~3
+POTE generator: ~3/2 = 701.7460
 Vals: {{Val list| 12, 330e, 342, 1380, 1722, 2064, 2406c }}
 Badness: 0.029438
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 1716/1715, 2080/2079, 32805/32768, 34398/34375
+Mapping: [{{val| 6 0 90 188 287 355 }}, {{val| 0 1 -8 -18 -28 -35 }}]
+POTE tuning: ~3/2 = 701.7256
+Vals: {{Val list| 12f, 330eff, 342f, 696f }} *
+<nowiki>*</nowiki> optimal patent val: [[354edo|354]]
+Badness: 0.0447
 == Sesquiquartififths ==