Hello all. I was just working on my paper on John Dowland's
Lute Fretting (to be delivered in Italy on September 13,
Wim Hoogewerf performing).

See my old webpage on this, which I'm using as a basis
for expansion:
http://www.ixpres.com/interval/monzo/fngrbds/dowland/dowland.htm

I made a graph of the entire set of intervals available
between any two pitches on Dowland's fretboard, which I've
posted here:

http://groups.yahoo.com/group/tuning-
math/files/monz/dowland_lute_fretting.xls

(copy/paste the broken link, remove break, copy/paste into
browser)


I created minor gridlines along the y-axis to represent
1/8-tones, because I was struck by the way nearly all the
intervals cluster between +/- ~25 cents from each 12-EDO
pitch-_gestalt_.

I'd appreciate some mathematical formalizations of this.
I'm very intrigued by this observation. Any ideas?



-monz
http://www.monz.org
"All roads lead to n^0"