User:Cmloegcmluin/APS

Revision as of 21:53, 22 March 2021 by Cmloegcmluin (talk | contribs) (fix table)

An APS, or arithmetic pitch sequence, is a kind of arithmetic and monotonic tuning.

(n-)APSp: (n pitches of an) arithmetic pitch sequence adding by p (equivalent to rank-1 temperament with generator p)

An AS is a specific (rational) type of APS.

equal multiplications https://en.xen.wiki/w/Equal-step_tuning#Equal_multiplications

example: 4-EDO = rank-1 temperament w/ generator 300¢ = APS⁴√2 ≈ APS1.189
quantity (0) 1 2 3 4
frequency (f) (1) 1.19 1.41 1.68 2
pitch (log₂f) (2⁰⸍⁴) 2¹⸍⁴ 2²⸍⁴ 2³⸍⁴ 2⁴⸍⁴
length (1/f) (1) 0.84 0.71 0.59 0.5