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An '''APS''', or '''arithmetic pitch sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.
An '''APS''', or '''arithmetic pitch sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.


(n-)APSp: (n pitches of an) arithmetic pitch sequence adding by p (equivalent to rank-1 temperament with generator p)
Its full specification is (n-)APSp: (n pitches of an) arithmetic pitch sequence adding by irrational interval p. It is equivalent to a [[Tour_of_Regular_Temperaments#Equal_temperaments_.28Rank-1_temperaments.29|rank-1 temperament]] with generator p. It is also equivalent to an [[Equal-step_tuning#Equal_multiplications|equal multiplication]] of p.


An AS is a specific (rational) type of APS.
The only difference between an APS and an [[AS|AS (ambitonal sequence)]] is that the p for an APS is irrational.
 
equal multiplications https://en.xen.wiki/w/Equal-step_tuning#Equal_multiplications


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