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Strangelet
04-18-2008, 11:19 AM
would love to be a part of this....

http://www.physorg.com/news127659537.html


Writing in the April 18 issue of Science, the trio has outlined a method called "geometrical music theory" that translates the language of musical theory into that of contemporary geometry. They take sequences of notes, like chords, rhythms and scales, and categorize them so they can be grouped into "families." They have found a way to assign mathematical structure to these families, so they can then be represented by points in complex geometrical spaces, much the way "x" and "y" coordinates, in the simpler system of high school algebra, correspond to points on a two-dimensional plane.

"You could create new kinds of musical instruments or new kinds of toys," he said. "You could create new kinds of visualization tools -- imagine going to a classical music concert where the music was being translated visually. We could change the way we educate musicians. There are lots of practical consequences that could follow from these ideas."

"But to me," Tymoczko added, "the most satisfying aspect of this research is that we can now see that there is a logical structure linking many, many different musical concepts. To some extent, we can represent the history of music as a long process of exploring different symmetries and different geometries."

cacophony
04-18-2008, 12:37 PM
considering the article is about visualization, i'm disappointed that it only included one piddley visual aide. i need to SEE to comprehend.

Strangelet
04-18-2008, 01:13 PM
considering the article is about visualization, i'm disappointed that it only included one piddley visual aide. i need to SEE to comprehend.

Me too!! here's something at least

two dimensional space

http://music.princeton.edu/~dmitri/chopin1.mov (http://music.princeton.edu/%7Edmitri/chopin1.mov)

four dimensional space

http://music.princeton.edu/~dmitri/chopin3.mov (http://music.princeton.edu/%7Edmitri/chopin3.mov)