source file: m1514.txt Date: Tue, 25 Aug 1998 10:15:52 -0500 (CDT) Subject: Re: geometrical mean From: Paul Hahn On Tue, 25 Aug 1998, Paul Hahn wrote: > tune up a (just) 3/2 and a 6/5 to get 9/5 above; tune down a 3/2 > and then up a 4/3 (again just) to get 8/9 below, then tune the target > string (halfway between 10/9 and 9/8, we hope) to beat at the same rate > with each of those. Gack, I messed up. To get the desired result the upper interval would have to beat twice as fast as the lower. Hmm--I think to get equal beating you'd have to do something like this: up to the 5/3, down a chain of three 3/2s-4/3s to 27/32. The desired mean tone would beat equally with the 5/3 (a narrow 3/2) and the 27/32 (a narrow 4/3). --pH http://library.wustl.edu/~manynote O /\ "Churchill? Can he run a hundred balls?" -\-\-- o NOTE: dehyphenate node to remove spamblock. <*>