page_title: Otonality and Utonality
hierarchical_section_title: Otonality and Utonality
caption_attribution_description: English: 5-limit Otonality and Utonality: overtone and "undertone" series, partials 1-5 numbered.
context_page_description: 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, respectively. For example, ... or, ....
  An Otonality is that set of pitches generated by the numerical factors...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.
context_section_description: 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: , , ,... or , , ,....
  An Otonality is that set of pitches generated by the numerical factors (...identities)...over a numerical constant (...numerary nexus) 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.
caption: 5-limit otonality and utonality: overtone and "undertone" series, partials 1-5 numbered About this soundPlay otonality (help·info), About this soundPlay utonality (help·info), About this soundPlay major chord on C (help·info), and About this soundPlay minor chord on F (help·info).
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