Lucy tuning: Difference between revisions

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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.
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.