greetings and farewell

Many of you may catch my post on the Tuning List, so forgive
the redundancy; similar notes apply here.

I was against the formation of this list at first, but it
turned out to be a very good idea. I hope it will remain
active until its work is finished. Perhaps I'll have time
to participate again in a few months, once I'm settled in
California.

I will un-subscribe on Sunday, Dec. 24th, at which time I
will drink a hearty toast to a 21st-century theory of musical
concordance!

-Carl

>"Just a word about Stern-Brocot tree. It corresponds point-to-
>point to space of modular matrix 2 x 2 where determinant
>ad-bc = 1. Summing columns give 2D vector (ratio) of Stern-
>Brocot tree. (And summing columns is like apply matrix to
>vector (1,1). Summing lines give 2D (contra)vector of Euclid
>tree.
>
>Generalizing to nD implies n(n-1) components. In 2D, tree has
>2 branchs at each nodes, in 3D, tree has 6 branchs at each node,
>in 4D, tree has 12 branchs at each nodes, etc. Besides, elements
>are not always 2D vectors assimilable to ratios but nD vectors
>assimilable to chords.
>
>I investigate few strategies to extend minimally Euclid
>algorithm (the problem seems complex) but I will look anew later
>for I found a new application of Stern-Brocot tree in lattices.