source file: m1514.txt
Date: Tue, 25 Aug 1998 10:50:29 -0500 (CDT)

Subject: Re: geometrical mean

From: Paul Hahn <Paul-Hahn@library.wustl.edu>

On Tue, 25 Aug 1998, Paul Hahn wrote:
> 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.

You can also get it to work by turning it upside down--tune down two
4/3s from the 5/4 to get 45/64, up a 4/3 from the 5/4 (or a 5/3 from the
1/1) and then down a 6/5 to get 25/18; the desired mean tone would then
beat equally narrow of a 8/5 with 45/64 and narrow of a 5/4 with 25/18.

--pH <manynote@lib-rary.wustl.edu> http://library.wustl.edu/~manynote
    O
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