Mathieu Bouchard wrote:
On Sun, 13 Aug 2006, Martin Peach wrote:
This looks interesting: http://mto.societymusictheory.org/issues/mto.04.10.3/mto.04.10.3.callender.p...
Also the orbifold thing, I wonder if a kind of random walk on an orbifold could be implemented in pd...
Are orbifolds mentioned in the paper? which page?
No, that was another link I couldn't find right then. Here is one reference with nice pictures: http://www.ruccas.org/pub/Gogins/score_generation_in_voiceleading_orbifolds....
I tried reading http://en.wikipedia.org/wiki/Orbifold, skipping the physics parts, and although I can say that it looks like a reasonable definition for that thing, I have no clue what it's useful for, and certainly not anything music-wise. What do you do with R^n subset quotients that have anything to do with music?
It looks like voice-leading orbifolds are a special type of orbifold. They seem to be used more by theorists to justify intuitively generated compositions after the fact than as tools for composition.
Martin
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