Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited


proper, propriety


    A function defined over the interval matrix of a scale, revealing the perceptual properties of that scale.

    Strictly Proper scales are those in which all intervallic size classes are distinct and non-overlapping.

    Scales in which two or more pairs of interval classes contain identical members are Proper.

    Scales with overlapping or contradictory interval classes are Improper and are less likely to be perceived as musical gestalts than proper or strictly proper scales.

    This concept of Propriety was introduced by David Rothenberg (Rothenberg, 1969).

    [from John Chalmers, Divisions of the Tetrachord]


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