User:Cmloegcmluin/APS

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.

example: 4-EDO = rank-1 temperament w/ generator 300¢ = APS⁴√2 ≈ APS1.189

quantity	1	2	3	4	5	6	7	8	9
frequency	1.00	1.19	1.41	1.68	2.00	2.38	2.83	3.36	4.00
pitch	0.00	0.25	0.50	0.75	1.00	1.25	1.50	1.75	2.00
length	1.00	0.84	0.71	0.59	0.50	0.42	0.35	0.30	0.25