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Otonality[1] and utonality[2] are terms introduced by Harry Partch to describe chords whose pitch classes are the harmonics or subharmonics of a given fixed tone (identity[3]), 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 (...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.[4]
- ^ Partch, Harry, 1901-1974 (1974). Genesis of a music : an account of a creative work, its roots and its fulfillments (Second edition, enlarged ed.). New York. p. 72. ISBN 0-306-71597-X. OCLC 624666.
{{cite book}}: CS1 maint: location missing publisher (link) CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link) - ^ Partch, Harry, 1901-1974 (1974). Genesis of a music : an account of a creative work, its roots and its fulfillments (Second edition, enlarged ed.). New York. p. 75. ISBN 0-306-71597-X. OCLC 624666.
{{cite book}}: CS1 maint: location missing publisher (link) CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link) - ^ Partch, Harry, 1901-1974 (August 1974). Genesis of a music : an account of a creative work, its roots and its fulfillments (Second edition, enlarged ed.). New York. ISBN 0-306-71597-X. OCLC 624666.
{{cite book}}: CS1 maint: location missing publisher (link) CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link) - ^ Gilmore, Bob (1998). Harry Partch: A Biography, p.431, n.69. Yale. ISBN 9780300065213.