88edo: Difference between revisions
m →Theory: ''It is recommended to read the page regular temperament first to understand this section.'' Tag: Reverted |
No need to remind readers of what a regular temperament is everywhere Tag: Undo |
||
| Line 6: | Line 6: | ||
== Theory == | == Theory == | ||
Using two different approximations to the [[3/2|perfect fifth]] (one of 51 steps and one of 52 steps), 88edo is compatible with both [[meantone]] and the particular variety of [[superpyth]] supported by [[22edo|22 equal temperament]], respectively. The meantone fifth is 0.0384 cents flatter than that of [[Lucy Tuning]] and, thus, audibly indistinguishable from it. It also gives the [[optimal patent val]] for the 11-limit [[mothra]] and [[euterpe]] temperaments. | Using two different approximations to the [[3/2|perfect fifth]] (one of 51 steps and one of 52 steps), 88edo is compatible with both [[meantone]] and the particular variety of [[superpyth]] supported by [[22edo|22 equal temperament]], respectively. The meantone fifth is 0.0384 cents flatter than that of [[Lucy Tuning]] and, thus, audibly indistinguishable from it. It also gives the [[optimal patent val]] for the 11-limit [[mothra]] and [[euterpe]] temperaments. | ||
| Line 14: | Line 12: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 88 factors into {{factorization|88}}, 88edo has subset edos {{EDOs| 2, 4, 8, 11, 22, and 44 }}. [[176edo]], which doubles it, provides correction for the approximation to harmonic 3. | Since 88 factors into {{factorization|88}}, 88edo has subset edos {{EDOs| 2, 4, 8, 11, 22, and 44 }}. [[176edo]], which doubles it, provides correction for the approximation to harmonic 3. | ||
== Interval table == | == Interval table == | ||