Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited


vector


    Representations of an interval as a row (or column) of numbers is a vector. Vector addition is a common operation.

    In general an n-dimensional vector space is a collection of elements that can be represented by n numbers. Operations are addition and scalar multiplication (multiplication with a single value). In the 'lattice' context the dimensions are of course the relevant primes and the vector elements are the power indices [exponents].

    [from Kees van Prooijen]

    . . . . . . . . . . . . . . . . .

    Simple vector addition of two ratios can be used to calculate intervals.

    [from Joe Monzo, JustMusic: A New Harmony]


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