Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited


tolerance


    Irrational intervals, like those found in ETs, can be consonant when they are close in size to rational intervals. A definition of consonance based on properties of rational numbers can be adapted to explain this by including a tolerance funtion. Everybody's favorite is Paul Erlich's Harmonic Entropy, which, along the way, explains one of the reasons why small-numbered ratios are consonant in the first place.

    [from Carl Lumma, Onelist Tuning Digest 291, message 5]


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