OS: Difference between revisions
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Its full specification is (n-)OSp: (n pitches of an) otonal sequence adding by rational interval p. An OS is a specific (rational) type of [[AFS]]; the only difference is that the p for an n-AFSp is irrational. | Its full specification is (n-)OSp: (n pitches of an) otonal sequence adding by rational interval p. An OS is a specific (rational) type of [[AFS]]; the only difference is that the p for an n-AFSp is irrational. | ||
The "n" is optional. If unspecified, you describe an open-ended sequence. | The "n" is optional. If unspecified, you describe an open-ended sequence. By specifying n, your sequence will be equivalent to some [[OD|OD (otonal division)]]. E.g. 8-OS3/4 = 8-OD7, because 8(3/4) = 6, so you will have traveled 6 away from the root of 1, and reached 7. | ||
OS and AFS 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 the later section on the [[OS#Derivation|derivation]]. | OS and AFS 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 the later section on the [[OS#Derivation|derivation]]. | ||