410edo: Difference between revisions
m Sort key |
|||
| Line 14: | Line 14: | ||
410edo works much better as a no-11 no-13 subgroup temperament, with a sharp tendency to harmonics up to 29. For example, it tempers out [[1216/1215]], [[1225/1224]], [[1445/1444]], and 2500/2499 in the 2.3.5.7.17.19 subgroup. | 410edo works much better as a no-11 no-13 subgroup temperament, with a sharp tendency to harmonics up to 29. For example, it tempers out [[1216/1215]], [[1225/1224]], [[1445/1444]], and 2500/2499 in the 2.3.5.7.17.19 subgroup. | ||
=== Possible usage in Georgian music === | |||
410edo's fifth is on its 240th step, which is a highly composite number. As such, it supports EDFs which are divisors of 240. In addition, it's perfect fourth is on the 170th step, which while is not highly composite, is still notable to carry a few ED4/3 scales. This can be used to play [[Kartvelian scales]]. | |||
=== Prime harmonics === | === Prime harmonics === | ||
| Line 111: | Line 114: | ||
|} | |} | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] | ||
== Scales == | |||
* Kartvelian Tetratonic: 120 120 85 85 (simplifies to [[82edo]]) | |||
* Kartvelian Decatonic: 48 48 48 48 48 34 34 34 34 34 (simplifies to [[205edo]]) | |||
* Kartvelian 22-tonic: 20 20 20 20 20 20 20 20 20 20 20 20 17 17 17 17 17 17 17 17 17<!-- 3-digit number --> | |||
[[Category:Semiluna]] | [[Category:Semiluna]] | ||
[[Category:Hemiluna]] | [[Category:Hemiluna]] | ||