Microtonal, just intonation, electronic music software Microtonal, just intonation, electronic music software

Encyclopedia of Microtonal Music Theory

@ 00 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Login   |  Encyclopedia Index

tolerance

[Carl Lumma, Yahoo tuning, message 4427 (Tue Aug 24, 1999 7:03 am), adapted by Joe Monzo]

Irrational [musical] intervals, like those found in ETs, can be concordant when they are close in size to rational intervals. A definition of accordance 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.

. . . . . . . . .

The tonalsoft.com website is almost entirely the work of one person: me, Joe Monzo. Please reward me for my knowledge and effort by choosing your preferred level of financial support. Thank you.

support level