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Complexity Digest 2005.12 - 11.02
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21-Mar-2005

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Zipf's Law, Music Classification, And Aesthetics, Comp. Music J.
 









Excerpts: The connection between aesthetics and numbers dates back to
pre-Socratic times. Pythagoras, Plato, and Aristotle worked on quantitative
expressions of proportion and beauty such as the golden ratio. Pythagoreans, for
instance, quantified "harmonious" musical intervals in terms of proportions
(ratios) of the first few whole numbers: a unison is 1:1, octave is 2:1, (...).
Some musicologists dissect the aesthetic experience in terms of separable,
discrete sounds. Others attempt to group stimuli into patterns and study their
hierarchical organization and proportions (...). Zipf refined a statistical
technique known as Zipf's Law for capturing the scaling properties of human and
natural phenomena (...).
Source: Zipf's Law, Music Classification, And Aesthetics[
http://mitpress.mit.edu/catalog/item/default.asp?sid=FC161D00-D107-427E-B86C-62D7ECEE6741&ttype=6&tid=17081
], B. Manaris, J. Romero, P. Machado, D. Krehbiel, T. Hirzel, W. Pharr, R. B.
Davis, Computer Music Journal, Spring 2005
Contributed by Atin Das - dasatinyahoo.co.in

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