Space of Melodies - a Music Theory

From a waiting room Time magazine, I found out about the work of Prof Dmitri Tymoczko http://music.princeton.edu/, Princeton University. He asserts a few things (we always end up studying music from 1700-1900), then goes on to present an ordering in a perhaps multi-dimensional space termed "Chordspaces". A very pleasant software task there, provides downloads of his presentation engine. He has captured a few Chopin melodies, displayed here http://music.princeton.edu/~dmitri/chopin2.mov - I'll learn how to post mov's one of these days.