1ed97.5c: Difference between revisions

'''1 equal division of 97.5¢''' ('''1ed97.5c'''), also known as '''arithmetic pitch sequence of 97.5¢''' ('''APS97.5¢'''), is an [[equal-step tuning]] with steps of 97.5 [[cent]]s (or each 13th step of [[160edo]]). It approximates the 9th harmonic to within 2c, and may alternatively be tuned or conceived of as [[39ed9]]. It can also be conceived slightly less accurately as [[25ed4]]. In contrast to [[12edo]], which is very similar in step size, it is not considered to approximate the octave ([[2/1]]) or perfect fifth ([[3/2]]), and has a workable, but rather (~10.5c) flat approximation of the perfect fourth ([[4/3]]). It excels however in the 4/3.5/3.7/3.11/3.13/3.9 [[Just intonation subgroup|subgroup]], in which it tempers out [[64/63]], [[100/99]], [[275/273]], and [[325/324]], for example.

== Intervals ==

{| class="wikitable center-1 right-2"

[[Category:Equal-step tuning]]

[[Category:Nonoctave]]

[[Category:Listen]]