88edo: Difference between revisions

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== Theory ==
== Theory ==
Using two different approximations to the perfect fifth (one of 51 steps and one of 52 steps), it is compatible with both [[Meantone|meantone temperament]] and the particular variety of [[superpyth]] temperament(s) 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 [[Meantone_family|mothra]] and [[Didymus_rank_three_family|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.


=== Odd harmonics ===
=== Odd harmonics ===