Symmetry and Transformations in the Musical Plane

Year: 2009 Authors: Vi Hart

Core claim

Musical symmetry differs from Euclidean symmetry because time and pitch are unequal dimensions, yielding a complete set of musical isometries and pattern groups.

Topics

musical symmetry, frieze patterns, wallpaper groups, composition

Domains

group theory, symmetry, geometry, isometries, music theory, composition, pattern design, visual notation

Methods

classification, symmetry analysis, comparative examples, visual illustration

Media

music notation, staff excerpts, Debussy’s Three Nocturnes, Bach examples

Source status

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