224edo: Difference between revisions
Jump to navigation
Jump to search
No edit summary Tags: Mobile edit Mobile web edit |
Tags: Mobile edit Mobile web edit |
||
| Line 4: | Line 4: | ||
=Music= | =Music= | ||
[http://www.archive.org/details/Dreyfus Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play] by [[Gene_Ward_Smith|Gene Ward Smith]] | [http://www.archive.org/details/Dreyfus Dreyfus] [http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3 play] by [[Gene_Ward_Smith|Gene Ward Smith]] | ||
[[Category: | [[Category:Edo]] | ||
[[Category:Indra]] | |||
[[Category:listen]] | [[Category:listen]] | ||
[[Category: | [[Category:Mirkwai]] | ||
[[Category: | [[Category:Octoid]] | ||
[[Category: | [[Category:Shibi]] | ||
[[Category: | [[Category:Theory]] | ||
Revision as of 09:15, 31 May 2019
224edo is the equal division of the octave into 224 parts of 5.3571 cents each. It is a very strong 13-limit system, tempering out 32805/32768 in the 5-limit; 4375/4374, 16875/16807 and 65625/65536 in the 7-limit; 540/530, 1375/1372 and 4000/3993 in the 11-limit; and 625/624, 729/728, 1575/1573 and 2200/2197 in the 13-limit, leading to an abundance of precisely-tuned essentially tempered chords. It defines the optimal patent val for octoid temperament in the 7-, 11- and 13-limit, and for mirkwai, the 7-limit planar temperament tempering out 16875/16807. It also provides an excellent tuning for indra and shibi temperaments. It is the twelfth zeta integral edo.
224 = 32 * 7, and has divisors 2, 4, 8, 16, 32, 7, 14, 28, 56, and 112.