|
|
| Line 235: |
Line 235: |
|
| |
|
| {{Optimal ET sequence|legend=1|31f, 91d, 1789, 3669}}, ... | | {{Optimal ET sequence|legend=1|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
| |
|
| |
| {{Optimal ET sequence|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 ET sequence|legend=1| 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 ET sequence|legend=1| 224, 518, 742, 966, 1708f }}
| |
|
| |
| Badness: 0.0269
| |
|
| |
|
| |
|
| |
| [[Category:Commatic realms]] | | [[Category:Commatic realms]] |
| [[Category:Jacobin]] | | [[Category:Jacobin]] |