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Euclidean Algorithm Rhythms, Brun, MOS, etc.

🔗John Chalmers <JHCHALMERS@UCSD.EDU>

2/14/2008 12:51:47 PM

Kraig, Manuel, et al. Here are some key references for the application,
generation or description of the MOS, Deep Scale and Maximally Even
concepts as well as the Euclidean and related algorithms to rhythmic
patterns.

I'm sorry I don't have the page numbers of David Canright's semimal
article on Fibonacci Gamelan rhythms handy.

There is a fair amount of literature in this field: one might start with
Google Advanced searches with Euclidean Algorithms Rhythm and Euclidean
Algorithms Music in the top row (With ALL of the Words). The Demaine
article also mentions the work on scale theory by John Clough and his
students/collaborators Carey, Clampitt and Douthett.

Toussaint, Godfried. The Euclidean Algorithm Generates Traditional
Musical Rhythms, An expanded version of a paper which appeared in the
Proceedings of BRIDGES: Mathematical Connections in Art, Music and
Science, Banff, Alberta, Canada, July 31-August 3, 2005. 47-56. See
http://cgm.cs.mcgill.ca/~godfried/publications/banff.pdf (Visited
February 14, 2008).

Erik D. Demaine, Francisco Gomez-Martin, Henk Meijer, David Rappaport,
Perouz Taslakian, Godfried T. Toussaint, Terry Winograd, and David R.
Wood . 2007. The Distance Geometry of Music.
http://arxiv.org/PS_cache/arxiv/pdf/0705/0705.4085v1.pdf (Visited
2/14/08

Graidy, Kraig. 1995. Horacycle Rhythms (A Rhythmic Application of the
Horagrams). Xenharmonikon 16: 94-98.

Canright, David. Fibonacci Gamelan Rhythms. 1/1 Autumn 1990.

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🔗Kraig Grady <kraiggrady@anaphoria.com>

2/16/2008 9:37:07 PM

One thing i would like to add to this topic before it disappears is the
the use of Brun using any intervals one wishes. i mention this only since often people posting will
remark on their interest of a particular interval(s) and this i feel is a good way to develop such materials
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