234edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
Expand |
||
| (One intermediate revision by one other user not shown) | |||
| Line 3: | Line 3: | ||
== Theory == | == Theory == | ||
234edo is [[consistent]] to the [[7-odd-limit]], but the [[error]] of [[prime interval|prime]] [[5/1|5]] is quite large. It is however fairly accurate in the [[2.3.7.13 subgroup]], with the same tuning as [[468edo]] and tempering out the [[septiennealimma]]. | |||
Besides that, the [[7-limit]] [[patent val]] [[tempering out|tempers out]] [[5120/5103]] and [[16875/16807]], [[support]]ing [[kwai]]. The alternative 234c val tempers out [[10976/10935]], [[110592/109375]] and [[321489/320000]], supporting [[bicommatic]]. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|234}} | {{Harmonics in equal|234}} | ||
=== Subsets and supersets === | |||
Since 234 factors into primes as {{nowrap| 2 × 3<sup>2</sup> × 13 }}, 234edo has subset edos {{EDOs| 2, 3, 6, 9, 13, 18, 26, 39, 78, and 117 }}. 468edo, which doubles it, provides a possible correction for its approximation of 5 and 11. | |||
== Intervals == | == Intervals == | ||
| Line 953: | Line 960: | ||
| perfect octave | | perfect octave | ||
|} | |} | ||