ok, I looked around a bit on this tuning-math yahoogroup...

1. one thing I noticed was you have paper in your FILES section ("scholarly papers" folder)

Nicolas Chevallier: Cyclic Groups and the Three Distance Theorem
it looks interesting... and it feels like it should have some connection to music -- but
if so, what is that connection, can anybody explain it to me?

2. Another thing I noticed was some of you were interested in "homometric (pairs of) sets."
It so happens that a long time ago I co-authored what at least at the time was the
best math paper on that -- although at the time I had no notion this had
anything to do with music. One version of this paper is
http://dimacs.rutgers.edu/TechnicalReports/abstracts/2002/2002-37.html

Later I was nagged about this by a music professor, who stimulated me
to fully classify all N-note homometric chords with N<=7, i.e. (<=7)-element
homometric sets.
I can post that if anybody is interested.

--- In tuning-math@yahoogroups.com, "WarrenS" <warren.wds@...> wrote:
>
> 1. one thing I noticed was you have paper in your FILES section ("scholarly papers" folder)
>
> Nicolas Chevallier: Cyclic Groups and the Three Distance Theorem
> it looks interesting... and it feels like it should have some connection to music -- but
> if so, what is that connection, can anybody explain it to me?
>
> 2. Another thing I noticed was some of you were interested in "homometric (pairs of) sets."
> It so happens that a long time ago I co-authored what at least at the time was the
> best math paper on that -- although at the time I had no notion this had
> anything to do with music. One version of this paper is
> http://dimacs.rutgers.edu/TechnicalReports/abstracts/2002/2002-37.html
>
> Later I was nagged about this by a music professor, who stimulated me
> to fully classify all N-note homometric chords with N<=7, i.e. (<=7)-element
> homometric sets.
> I can post that if anybody is interested.

Yes, please post. (One thing I want are tables, tables, tables. Particularly of chord types
in every temperament with their interval vectors and multiplicities (transposition, inversion, z-relation))

pgh
>