The Jacobins: Difference between revisions

@@ Line 235: / Line 235: @@
 Vals: {{Val list|31f, 91d, 1789, 3669}}, ...
+== Silicon ==
+While 14edo is poor in simple harmonics, some of its multiples (such as [[224edo]] and [[742edo]]) are members of zeta edo list. The name of silicon temperament comes from the 14th element. Defined upwards to the 13-limit. When tuned in 742edo, it is generated by a [[53edo]] fifth intermingled with [[14edo]] periods.
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 14348907/14336000, 56358560858112/56296884765625
+[[Mapping]]: [{{val| 14 0 -145 239 }}, {{val| 0 1 8 -9 }}]
+Mapping generators: ~6125/5832, ~3
+[[Optimal tuning]] ([[CTE]]): ~3/2 = 701.870
+{{Val list|legend=1| 224, 518, 742, 966, 1708, 2674 }}
+[[Badness]]: 0.196
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 9801/9800, 1240029/1239040, 2359296/2358125
+Mapping: [{{val| 14 0 -145 239 115 }}, {{val| 0 1 8 -9 -3 }}]
+Optimal tuning (CTE): ~3/2 = 701.872
+Optimal GPV sequence: {{val list| 224, 518, 742, 966, 1708, 4382e }}
+Badness: 0.0450
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 4096/4095, 6656/6655, 9801/9800, 24192/24167
+Mapping: [{{val| 14 0 -145 239 115 74 }}, {{val| 0 1 8 -9 -3 -1 }}]
+Optimal tuning (CTE): ~3/2 = 701.8733
+Optimal GPV sequence: {{val list| 224, 518, 742, 966, 1708f }}
+Badness: 0.0269
 [[Category:Commatic realms]]
 [[Category:Jacobin]]