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Author Krumhansl, Carol L.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Geometry ♦ Music visualization ♦ Tonal analysis ♦ Computational music cognition ♦ Harmonic analysis ♦ Tonality models ♦ Music theory
Abstract The purpose of this article is to provide a general introduction to the idea that musical structure can be represented geometrically. It begins by defining those elements that appear in the models in the three papers that follow. A brief review is given of psychological results demonstrating that these music-theoretic definitions describe implicit knowledge that listeners have of tonal-harmonic music. This is followed by a brief historical summary of maps that were proposed previously of keys, tones, and chords, and a hybrid tone-chord map. The article then summarizes a number of issues that arise in connection with geometric representations. Finally, the innovations in the three proposed models are highlighted, particularly their contributions to visualizing the dynamics and temporal relationships that exist in extended musical pieces.
Description Affiliation: Cornell University, Ithaca, NY (Krumhansl, Carol L.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2008-03-01
Publisher Place New York
Journal Computers in Entertainment (CIE) (CIE)
Volume Number 3
Issue Number 4
Page Count 14
Starting Page 1
Ending Page 14


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Source: ACM Digital Library