576edo: Difference between revisions
No edit summary |
|||
| Line 19: | Line 19: | ||
Despite having bad 5/4, 576edo is [[consistent]] in the 7-limit. As a corollary, 576edo is an excellent 2.3.7 subgroup tuning. Using the patent val, it tempers out the [[septimal ennealimma]], 40353607/40310784, and assigns 7/6 to 2\9 of the octave, property that ultimately derives from [[9edo]]. However, other commas being tempered out are far more complex - [99, -66, 2⟩, [110, -57, -7⟩, and [88, -75, 11⟩. | Despite having bad 5/4, 576edo is [[consistent]] in the 7-limit. As a corollary, 576edo is an excellent 2.3.7 subgroup tuning. Using the patent val, it tempers out the [[septimal ennealimma]], 40353607/40310784, and assigns 7/6 to 2\9 of the octave, property that ultimately derives from [[9edo]]. However, other commas being tempered out are far more complex - [99, -66, 2⟩, [110, -57, -7⟩, and [88, -75, 11⟩. | ||
In the 5-limit, the patent val supports [[amity]] temperament | In the 5-limit, 576edo provides the [[optimal patent val]] for the [[atomic]] temperament and also supports [[amity]] temperament. The 576c val supports [[maquila]]. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:Amity]] | [[Category:Amity]] | ||
[[Category:Atomic]] | |||