University of St. Thomas Center for Applied Mathematics
How Fourier Analysis Underlies Music
Speaker: James Walker
Affiliation: Macalester College
Presentation Date: May 3, 2012
Presentation Location: OSS 313
Abstract:
Most musicians and mathematicians are aware that the pitches of musical notes correspond to
frequencies of sound waves. Modern Fourier analysis allows us to decompose musical tones into
their pitches and overtones. This decomposition corresponds very precisely to the qualities that
we hear in musical tones. Examples from musical recordings and relations to performance techniques
such as vibrato, artificial harmonics, and pitch illusions, will be presented.
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