Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited


determinant


    A calculation made on a matrix.

    When the matrix is square and the rows represent independent unison vectors, the determinant indicates the number of pitches contained within the corresponding periodicity block. This was documented by Fokker.

    Interestingly, the same numbers which delimit ETs with good rational implication also specify the number of pitch-classes in just-intonation systems which incorporate bridging to delineate the finity of the system.

    [from Joe Monzo, JustMusic: A New Harmony

    with Paul Erlich]


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