Otonality and utonality

Music theory concept

Otonality and utonality are terms introduced by Harry Partch to describe chords whose pitch classes are the harmonics or subharmonics of a given fixed tone (identity), respectively. For example: ⁠1/1⁠, ⁠2/1⁠, ⁠3/1⁠,... or ⁠1/1⁠, ⁠1/2⁠, ⁠1/3⁠,....An Otonality is that set of pitches generated by the numerical factors (...identities)...over a numerical constant in the denominator. Conversely, a Utonality is the inversion of an Otonality, a set of pitches with a numerical constant in the numerator over the numerical factors...in the denominator.

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