Canou family: Difference between revisions
m Cleanup |
→Canou: +more relevant data |
||
| Line 12: | Line 12: | ||
For tunings, a basic option would be [[80edo]]. Others such as [[94edo]], [[99edo]] and [[118edo]] are more accurate; [[19edo]] (perferably with stretched octaves) also provides a good trivial case, whereas the [[optimal patent val]] goes up to [[1131edo]], relating it to the [[amicable]] temperament. | For tunings, a basic option would be [[80edo]]. Others such as [[94edo]], [[99edo]] and [[118edo]] are more accurate; [[19edo]] (perferably with stretched octaves) also provides a good trivial case, whereas the [[optimal patent val]] goes up to [[1131edo]], relating it to the [[amicable]] temperament. | ||
Comma list: 4802000/4782969 | [[Comma list]]: 4802000/4782969 | ||
POTE | [[POTE generator]]s: ~3/2 = 702.3728, ~81/70 = 254.6253 | ||
Mapping: [{{val| 1 0 0 -1 }}, {{val| 0 1 2 2 }}, {{val| 0 0 -4 3 }}] | [[Mapping]]: [{{val| 1 0 0 -1 }}, {{val| 0 1 2 2 }}, {{val| 0 0 -4 3 }}] | ||
{{Multival|legend=1|rank=3| 4 -3 -14 -4 }} | {{Multival|legend=1|rank=3| 4 -3 -14 -4 }} | ||
[[Minimax tuning]]: | |||
* 7-odd-limit: 3 +c/14, 5 and 7 just | |||
: Eigenmonzos: 2, 5, 7 | |||
* 9-odd-limit: 3 just, 5 and 7 -c/7 to 3 +c/14, 5 and 7 just | |||
: Eigenmonzos: 2, 7/5 | |||
Lattice basis: | |||
: 3/2 length = 0.8110, 81/70 length = 0.5135 | |||
: Angle (3/2, 81/70) = 73.88 deg | |||
{{Val list|legend=1| 75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b }} | {{Val list|legend=1| 75, 80, 94, 99, 212, 292, 311, 410, 1131, 1541b }} | ||
Badness: 1.122 × 10<sup>-3</sup> | [[Badness]]: 1.122 × 10<sup>-3</sup> | ||
[[Complexity spectrum]]: 4/3, 9/7, 9/8, 7/6, 6/5, 10/9, 5/4, 8/7, 7/5 | |||
= Semicanou = | = Semicanou = | ||