Schismatic family: Difference between revisions

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@@ Line 1,037: / Line 1,037: @@
 Badness: 0.016968
-== Quintilischis ==
+== Quintilipyth ==
-The ''quintilischis'' temperament (12&amp;253) slices the fourth (4/3) into five semitones.
+The ''quintilipyth'' temperament (12&amp;253, formerly ''quintilischis'' temperament) slices the fourth (4/3) into five semitones.
 Subgroup: 2.3.5.7
@@ Line 1,105: / Line 1,105: @@
 Badness: 0.038155
+== Quintaschis ==
+Subgroup: 2.3.5.7
+[[Comma list]]: 32805/32768, 49009212/48828125
+[[Mapping]]: [{{val|1 2 -1 -5}}, {{val|0 -5 40 94}}]
+{{Multival|legend=1| 5 -40 -94 -75 -163 -106 }}
+[[POTE generator]]: ~200/189 = 99.664
+{{Val list|legend=1| 12, 277d, 289 }}
+[[Badness]]: 0.132890
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 441/440, 32805/32768, 1953125/1951488
+Mapping: [{{val|1 2 -1 -5 -8}}, {{val|0 -5 40 94 138}}]
+POTE generator: ~35/33 = 99.653
+Vals: {{Val list| 12, 277d, 289 }}
+Badness: 0.111477
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 364/363, 441/440, 32805/32768, 109512/109375
+Mapping: [{{val|1 2 -1 -5 -8 -11}}, {{val|0 -5 40 94 138 177}}]
+POTE generator: ~35/33 = 99.658
+Vals: {{Val list| 12f, 277df, 289 }}
+Badness: 0.074218
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 364/363, 441/440, 595/594, 3757/3750, 32805/32768
+Mapping: [{{val|1 2 -1 -5 -8 -11 5}}, {{val|0 -5 40 94 138 177 -11}}]
+POTE generator: ~18/17 = 99.656
+Vals: {{Val list| 12f, 277df, 289 }}
+Badness: 0.050571
+==== 19-limit ====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 364/363, 441/440, 476/475, 595/594, 3757/3750, 6885/6859
+Mapping: [{{val|1 2 -1 -5 -8 -11 5 4}}, {{val|0 -5 40 94 138 177 -11 3}}]
+POTE generator: ~18/17 = 99.659
+Vals: {{Val list| 12f, 277df, 289 }}
+Badness: 0.042120
+=== Quintahelenic ===
+Subgroup: 2.3.5.7.11
+Comma list: 5632/5625, 8019/8000, 151263/151250
+Mapping: [{{val|1 2 -1 -5 -9}}, {{val|0 -5 40 94 150}}]
+POTE generator: ~200/189 = 99.671
+Vals: {{Val list| 12, 289e, 301, 915, 1216ce }}
+Badness: 0.082225
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 847/845, 1716/1715, 5632/5625, 8019/8000
+Mapping: [{{val|1 2 -1 -5 -9 -11}}, {{val|0 -5 40 94 150 177}}]
+POTE generator: ~200/189 = 99.661
+Vals: {{Val list| 12f, 289e, 301 }}
+Badness: 0.055570
+===== 17-limit =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 561/560, 833/832, 847/845, 1701/1700, 3757/3750
+Mapping: [{{val|1 2 -1 -5 -9 -11 5}}, {{val|0 -5 40 94 150 177 -11}}]
+POTE generator: ~18/17 = 99.665
+Vals: {{Val list| 12f, 289e, 301 }}
+Badness: 0.040412
+===== 19-limit =====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 476/475, 495/494, 561/560, 833/832, 847/845, 1701/1700
+Mapping: [{{val|1 2 -1 -5 -9 -11 5 4}}, {{val|0 -5 40 94 150 177 -11 3}}]
+POTE generator: ~18/17 = 99.668
+Vals: {{Val list| 12f, 289e, 301 }}
+Badness: 0.036840
+==== Quintahelenoid ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 729/728, 1001/1000, 4096/4095, 86515/86436
+Mapping: [{{val|1 2 -1 -5 -9 14}}, {{val|0 -5 40 94 150 -124}}]
+POTE generator: ~200/189 = 99.672
+Vals: {{Val list| 12, 301, 614, 915 }}
+Badness: 0.066108
+===== 17-limit =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 561/560, 729/728, 1001/1000, 4096/4095, 14161/14157
+Mapping: [{{val|1 2 -1 -5 -9 14 5}}, {{val|0 -5 40 94 150 -124 -11}}]
+POTE generator: ~18/17 = 99.671
+Vals: {{Val list| 12, 301, 915gg, 1216cegg }}
+Badness: 0.047908
+===== 19-limit =====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 476/475, 561/560, 729/728, 1001/1000, 4096/4095, 6144/6137
+Mapping: [{{val|1 2 -1 -5 -9 14 5 4}}, {{val|0 -5 40 94 150 -124 -11 3}}]
+POTE generator: ~18/17 = 99.672
+Vals: {{Val list| 12, 301, 614gh, 915gghh }}
+Badness: 0.039542
 == Sextilififths ==