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 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