User:Cmloegcmluin/APS: Difference between revisions
Equal multiplication isn't an "other tuning". This *is* equal multiplication. Also adopt a stricter def for "equal temperament" |
Every step of EPD is a period so it doesn't make sense to compare n-APS to EPD. It's the unspecified APS that's equivalent to EPD. Try to clarify the dimensionality of the "p" |
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== Formula == | == Formula == | ||
The pitch of the ''k''-th step of an APS-''p'' is quite simply ''k''⋅''p''. | The pitch of the ''k''-th step of an APS-''p'' is quite simply ''k''⋅''p'' for a pitch (log-frequency) quantity ''p''. | ||
== Relationship to other tunings == | == Relationship to other tunings == | ||
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=== Vs. EPD === | === Vs. EPD === | ||
If specified, an APS will be equivalent to | If the ''n'' is not specified, an APS will be equivalent to an [[EPD|equal pitch division (EPD)]]. Specifically, ''n''-EPD-''p'' = APS(''p''/''n'') for a log-frequency quantity ''p''. For example, 12-EPD1200¢ = APS(1200¢/12) = APS100¢. | ||
=== Vs. AS === | === Vs. AS === | ||
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[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
[[Category:Xenharmonic series]] | [[Category:Xenharmonic series]] | ||