CIRMMT Distinguished Lecture | Geometries of pitch and time in music
"Geometries of pitch and time in music"
Carol Krumhansl, Professor of Psychology at Cornell University (USA)
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This lecture explores the seemingly natural affinities between music and geometry. Various kinds of geometric representations have been applied to music: low-dimensional spatial representations, (sub)groups and group transformations, and Quinn’s balance pan representation of Lewin’s Fourier properties. Results will be presented in which these geometric representational are applied to tonal and rhythmic hierarchies, key distances, and harmonic expectations.
Carol Lynne Krumhansl is Professor of Psychology at Cornell University. The Music Cognition Laboratory, founded in 1980, has studied a wide range of topics. The experiments on tonality helped establish the psychological reality of music-theoretic concepts. Contemporary proposals on melodic structure and musical tension have been tested and extended to music from other cultures and post-tonal music. Recent research has used popular music to study memory representations and associated autobiographical memories. A long-standing interest is the application of mathematical models to represent patterns in music.