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error in my Woolhouse posting

🔗Joe Monzo <monz@xxxx.xxxx>

12/19/1999 11:12:14 AM

There's a significant error in my posting on Woolhouse.
I wrote [TD 446.6]:

>
> Woolhouse then observes that 240/180 = 360/270 (= 4/3)
> and divides this scale into 2 'tetrachords' (even tho
> they only have 3 notes at this point) which have dissimilar
> spacing, then adds 'D' and 'B' to the scale to 'equalize'
> each tetrachord (i.e., give them identical intervallic structure),
> using the following ratios:
>
> note interval ratio string-length
>
> B seventh 15/5 192/360
> C second 9/8 320/360
>
> which produces the usual 5-limit JI 'major' scale:
>
> A---E---B
> / \ / \ / \
> F---C---G---D
>

The 'B', the 'seventh', should have the ratio 15/8 and not 15/5.

I've made this posting, with minor corrections and additions,
into a webpage:
http://www.ixpres.com/interval/monzo/woolhouse/essay.htm
with links into the Tuning Dictionary. Feedback appreciated.

-monz

Joseph L. Monzo Philadelphia monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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