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:

/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"