source file: m1541.txt Date: Thu, 1 Oct 1998 09:03:17 -0500 (CDT) Subject: Re: Cancelling out beats From: Paul Hahn On Thu, 1 Oct 1998, bram wrote: > My guess, without knowing exactly what those papers say, is that they are > generally based on an algorithm for cancelling out the beats of any two > notes. I know the beats can be essentially calculated using continued > fractions, so I'm guessing there's a rather straightforward way of > calculating, given a*sin(x) + b*sin(y), a and b being volumes and x and y > being wavelengths, there's a rather straightforward way of calculating a > bunch of other sin functions which when added will cancel out all the > beats. I don't think Bill is canceling out the beats in an antinoise sense; rather, he is matching tuning and timbre so that the intervals of the scale line up with the partials of the sound. That is, he gets rid of the beats the old-fashioned, JI way: by making the overtones match up. --pH http://library.wustl.edu/~manynote O /\ "Churchill? Can he run a hundred balls?" -\-\-- o NOTE: dehyphenate node to remove spamblock. <*>