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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