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Re : Woolhouse's derivation of 7/26-comma 'optimal' meantone

🔗Wim Hoogewerf <wim.hoogewerf@xxxx.xxxx>

12/21/1999 2:01:10 AM

(Joe Monzo:)

> This is an explanation of how Woolhouse (and Paul Erlich
> independently) derived 7/26-comma meantone as the one
> with the least error from JI, by the RMS (= 'root mean
> square) method.

Joe, even if it's too hard for me to follow the whole mathematical
Woolhouse/Monzo method of obtaining 'optimal' meantone,I would like to
program this tuning to my Korg Multi-Temperament Tuner. The Korg has already
one (1/4-comma) meantone preset, which is represented as follows:

C . D . E F . G . A . B
+10 -14 +3 +20 -3 +14 -10 +7 -17 0 +17 -7

The fact that A is represented by 0 doesn't implie that A is the number I in
the scale. The Korg can calibrate the A from 390,0 Hz up to 470,0 Hz. Of
course in the set tuning the A should therefore be at 0 cent deviation.

Could you indicate the 7/26-comma meantone in the same manner? In this way I
can apply the tuning to my guitar with moveable frets and rediscover all my
renaissance repertory. Thanks!

Wim Hoogewerf