Lucy tuning: Difference between revisions

LucyTuning is the meantone tuning advocated by [[Charles_Lucy|Charles Lucy]], with a fifth of precisely 600 + 300/π = 695.493 [[cent|cent]]s. This is close to the [[88edo|88edo]] fifth of 695.455 cents, and shares its general characteristics such as being a good tuning for [[Meantone_family|mothra]] and [[Didymus_rank_three_family|eupterpe]] temperaments, providing a mothra generator, an approximate [[8/7|8/7]], of 200+100/π cents, which extends [[5-limit|5-limit]] meantone LucyTuning to a version with a mothra (1/3 meantone fifth) generator. As a tuning for 5-limit meantone, it has the softer quality characteristic of the flatter fifth meantones between [[50edo|50edo]] and [[19edo|19edo]]. It has a major third of 1200/π cents, or 1/π of an octave, 381.972 cents, 4.342 cents flat of [[5/4|5/4]], but 2.827 cents sharp of [[1-3_Syntonic_Comma_Meantone|1/3-comma meantone]]'s major third.

A reasonable mapping for [[11-limit|11-limit]] extended LucyTuning would be

This tempers out the mothra [[Comma|comma]]s of 81/80, 1029/1024, 99/98 and 385/384. While Charles Lucy himself does not seem to consider the possibility of extending LucyTuning, it should be noted that the mothra mapping above gives a 7/4 of 1000-100/π, a mere 0.659 cents flat of a [[7/4|just 7/4]]. Another way to extend LucyTuning is meanpop:

[http://www.lucytune.com Link to Lucy Tuning website]

=Music=

[http://www.myspace.com/lucytuning http://www.myspace.com/lucytuning]     [[Category:listen]]

[[Category:lucy]]

[[Category:lucytuning]]

[[Category:meanpop]]

[[Category:meantone]]

[[Category:mothra]]

[[Category:transcendental]]