AFS: Difference between revisions
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== Relationship to other tunings == | == Relationship to other tunings == | ||
=== | === Vs. OS === | ||
The only difference between an [[OS|OS (overtone sequence)]] and AFS is that for OS the p is rational. | The only difference between an [[OS|OS (overtone sequence)]] and AFS is that for OS the p is rational. | ||
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An AFS could also be described as a shifted [[overtone series]] (± frequency). Both AFS and OS are equivalent to taking an overtone series and adding (or subtracting) a constant amount of frequency. By doing this, the step sizes remain equal in frequency, but their relationship in pitch changes. For a detailed explanation of this, see [[OS#Derivation|derivation of OS]]. | An AFS could also be described as a shifted [[overtone series]] (± frequency). Both AFS and OS are equivalent to taking an overtone series and adding (or subtracting) a constant amount of frequency. By doing this, the step sizes remain equal in frequency, but their relationship in pitch changes. For a detailed explanation of this, see [[OS#Derivation|derivation of OS]]. | ||
=== | === Vs. EFD === | ||
By specifying n, your sequence will be equivalent to some [[EFD|EFD (equal frequency division)]]. Specifically, n-EFDp = n-AFS((p-1)/n). | By specifying n, your sequence will be equivalent to some [[EFD|EFD (equal frequency division)]]. Specifically, n-EFDp = n-AFS((p-1)/n). | ||
=== | === Vs. ALS === | ||
The analogous utonal equivalent of an AFS is an [[ALS|ALS (arithmetic length sequence)]]. | The analogous utonal equivalent of an AFS is an [[ALS|ALS (arithmetic length sequence)]]. | ||