User:Cmloegcmluin/APS: Difference between revisions
Cmloegcmluin (talk | contribs) break up wall of information into helpful sections that are consistent across all arithmetic tuning pages |
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== Relationship to other tunings == | == Relationship to other tunings == | ||
=== | === Vs. rank-1 temperaments & equal multiplications === | ||
An APSp 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 APSp 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. | ||
=== | === Vs. EPD === | ||
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¢). | 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¢). | ||
=== | === Vs. AS === | ||
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. | ||