Schismatic family: Difference between revisions

@@ Line 755: / Line 755: @@
 Badness: 0.021392
+= Quadrant =
+The ''quadrant'' temperament (12&amp;224, named by [[User:Xenllium|Xenllium]]) has a period of quarter octave and tempers out the [[dimicomp comma]], 390625/388962. In this temperament, 25/21 is mapped into quarter octave.
+Subgroup: 2.3.5.7
+[[Comma list]]: 32805/32768, 390625/388962
+[[Mapping]]: [{{val|4 0 60 119}}, {{val|0 1 -8 -17}}]
+Mapping generators: ~25/21, ~3
+{{Multival|legend=1| 4 -32 -68 -60 -119 -68 }}
+[[POTE generator]]: ~28/25 = 198.177
+{{Val list|legend=1| 12, 200, 212, 224, 436, 660, 1096c }}
+[[Badness]]: 0.110242
+== 11-limit ==
+Subgroup: 2.3.5.7.11
+Comma list: 1375/1372, 6250/6237, 32805/32768
+Mapping: [{{val|4 0 60 119 185}}, {{val|0 1 -8 -17 -27}}]
+POTE generator: ~28/25 = 198.181
+Vals: {{Val list| 12, 212, 224, 436, 660 }}
+Badness: 0.045738
+== 13-limit ==
+Subgroup: 2.3.5.7.11.13
+Comma list: 625/624, 1375/1372, 2080/2079, 10648/10647
+Mapping: [{{val|4 0 60 119 185 224}}, {{val|0 1 -8 -17 -27 -33}}]
+POTE generator: ~28/25 = 198.184
+Vals: {{Val list| 212, 224, 436, 660 }}
+Badness: 0.027243
 = Octant =
+The octant temperament (224&amp;472) has a period of 1/8 octave. In this temperament, 12/11, 35/27, and 99/70 are mapped into 1\8, 3\8, and 4\8 respectively.
 Subgroup: 2.3.5.7