User:Cmloegcmluin/AS: Difference between revisions

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 An '''AS''', or '''ambitonal sequence''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning.
-An AS is a specific (rational) type of APS.
+Its full specification is (n-)ASp: (n pitches of an) ambitonal sequence adding by rational interval p. It is equivalent to a 1-dimensional [[Harmonic_Lattice_Diagram|JI lattice]] of p. These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch. It is also equivalent to an [[Equal-step_tuning#Equal_multiplications|equal multiplication]] of a rational interval p.
-(n-)ASp: (n pitches of an) ambitonal sequence adding by p (equivalent to 1D JI lattice of p)
+The n is optional. If not provided, the sequence is open-ended.
-These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch.
+The only difference between an (n-)ASp and an [[APS|(n-)APSp (arithmetic pitch 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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