User:Cmloegcmluin/APS: Difference between revisions
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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. | 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. | ||
The n is optional. If not provided, the sequence is open-ended. | The n is optional. If not provided, the sequence is open-ended. If specified, an APS will be equivalent to some [[EPD|EPD, or equal pitch division]]. Specifically, n-EPDx = n-APS(x/n), for example 12-EPD1200¢ = 12-APS(1200¢/12=100¢). | ||
The only difference between an APS and an [[AS|AS (ambitonal sequence)]] is that the p for an APS is irrational. | The only difference between an APS and an [[AS|AS (ambitonal sequence)]] is that the p for an APS is irrational. | ||