Hi Michael,

I think I found the article here:

www.music.princeton.edu/~dmitri/geometry.pdf

Could you confirm if this is the same article as that found in Science?

Thanks!
steven

On Fri, Apr 18, 2008 at 6:08 AM, Michael Gogins <gogins@pipeline.com> wrote:
> I bring to your attention the following publication by Clifton Callender, Ian Quinn, Dmitri Tymoczko, "Generalized Voice-Leading Spaces", 18 April 2008, Science 320, 346 (2008).
>
>  This article and supporting online material summarizes the last several years of work by these scholars on geometrical music theory, which involves representing voice-leading spaces as orbifolds, chords as points in such spaces, and so on.
>
>  I mention this here because the CsoundAC Python extension module (written by me) for algorithmic composition with Csound uses some of these ideas for score generation, voice-leading, and score transformation. I am confident that the geometrical representation of musical entities will continue to bear new fruit in algorithmic composition for some time to come.
>
>  Anyone interested in the algorithmic composition (or analysis) of pitch related materials should find this paper a very useful summary of this important and innovative approach to mathematical music theory.
>
>  Regards,
>  Mike
>
>
>
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