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SUMMARY:Fractal patterns in music - Andrzej Herczyński (Boston College)
DTSTART:20240402T132000Z
DTEND:20240402T141000Z
UID:TALK213721@talks.cam.ac.uk
DESCRIPTION:If aesthetic preferences are influenced by the fractal geometr
 y of nature\, scaling regularities would be expected in all art forms\, in
 cluding music. While a variety of statistical tools have been proposed to 
 analyze time series in sound\, there is no consensus on how to measure com
 plexity or discern fractal patterns in music. This talk offers a distinct 
 new approach based on the self-similarity of recuring melodic lines\, perf
 ormed simultaneously at different temporal scales (tempi). In contrast to 
 the statistical analyses advanced in recent literature\, the proposed meth
 od is manifestly local. The corresponding definition of the fractal dimens
 ion is based on the temporal scaling hierarchy and depends on the tonal co
 ntours of musical motifs. The new concepts are tested on musical &ldquo\;r
 enditions&rdquo\; of the Cantor Set and the Koch Curve\, and then illustra
 ted with a number of carefully selected masterful compositions spanning fi
 ve centuries of music making.
LOCATION:Seminar Room 1\, Newton Institute
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