OS: Difference between revisions

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fix section capitalization
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Relationship to other tunings: address Flora's recent concerns about rationality vs. irrationality in this system
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=== Vs. AFS ===
=== Vs. AFS ===


An OS is a specific (rational) type of [[AFS]]; the only difference is that the p for an n-AFSp is irrational.
An OS is a specific (rational) type of [[AFS]]; the only difference is that the p for an n-OSp must be rational.


=== As shifted overtone series ===
=== As shifted overtone series ===


Both OS and AFS are equivalent to taking an overtone series and adding (or subtracting) a constant amount of frequency (for OS it is rational, for AFS it is irrational). By doing this, the step sizes remain equal in frequency, but their relationship in pitch changes. For a detailed explanation of this, see the later section on the [[OS#Derivation|derivation]].
Both OS and AFS are equivalent to taking an overtone series and adding (or subtracting) a constant amount of frequency (for OS it is rational, for AFS it is probably irrational). By doing this, the step sizes remain equal in frequency, but their relationship in pitch changes. For a detailed explanation of this, see the later section on the [[OS#Derivation|derivation]].


=== Vs. OS ===
=== Vs. OS ===
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