Definitions of tuning terms
© 1998 by Joseph L. Monzo
All definitions by Joe Monzo unless otherwise cited
Tonality Diamond
an arbitrary arrangement of the Monophonic
ratios designed to constitute prima facie proof
of the at least dual identity of
each ratio, and consequently of the capacity of a Monophonic system
of Just Intonation for providing tones that may be taken
in more than one sense each.
[from Partch 1974, Genesis
of a Music, 2nd ed., Da Capo Press, New York, p. 74-75]
Partch's Incipient Tonality Diamond
(5-Limit):
[from Partch 1974, Genesis
of a Music, 2nd ed., Da Capo Press, New York, p. 110]
(for a different view of this diamond, see the
Monzo 5-Limit Lattice)
A chordal complex consisting of interlocking harmonic and subharmonic chords sharing a single tonic. It may be constructed by building replicas of a harmonic chord on roots that are the components of the octave inversion of the original. The highest prime (3, 5, 7, 11, etc.) number appearing in the chords determines the "limit".
The Diamond may be understood as the harmonic expansion of a single complex sound.
See Partch, Harry (1949, 1974, 1977).
[from John Chalmers, Divisions of the Tetrachord]
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