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

Thanks, Manuel!

----------
>De�: <manuel.op.de.coul@ezh.nl>
>� : tuning@onelist.com
>Objet�: [tuning] Re: Woolhouse's derivation of 7/26-comma 'optimal' meantone
>Date�: Mar 21 d�c 1999 14:41

> Let me do it, since it's only a few keystrokes for me.
>
> 7/26-comma meantone scale (Woolhouse 1835). Almost equal to meaneb742.scl
> 0: 1/1 11.50546 unison, perfect prime
> 1: 73.154 cents -15.34062
> 2: 192.330 cents 3.835150
> 3: 311.505 cents 23.01092
> 4: 384.659 cents -3.835160
> 5: 503.835 cents 15.34061
> 6: 576.989 cents -11.50546
> 7: 696.165 cents 7.670310
> 8: 769.319 cents -19.17577
> 9: 888.495 cents 0.000000
> 10: 1007.670 cents 19.17577
> 11: 1080.824 cents -7.670310
> 12: 2/1 11.50546 octave

So my Korg Tuner will be set to:
C . D . E F . G . A . B
12 -15 4 23 -4 15 -12 8 -19 0 19 -8
>
> I don't know if this information is useful for tuning a guitar, but the
> beating of C-G is almost exactly twice as fast as the beating of C-E.

I'll check when I've finished the tuning. Normally i don't really count the
beating as a piano tuner does.
>
> If you give the 3/2 twice the weight of 6/5 and 5/4, then the least-squares
> outcome is 7/27-comma temperament:

I don't dare to ask what you mean precisely, since I haven't studied enough
on your previous posts! I fully trust the results (the figures) however and
will apply 7/27-comma temperament afterwards in comparison.

Wim Hoogewerf