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What is Geometrical Approaches in Music Theory about?

Callender, Quinn, and Tymoczko propose a unified geometric perspective called "geometrical music theory" that models many musical concepts and relationships using symmetries of n-dimensional space. They identify musical terms that describe equivalence classes under combinations of five basic "OPTIC" relations and show these correspond to symmetries. Quotient spaces are constructed by gluing points related by these symmetries, producing complex geometric structures that model harmonic relationships and voice

Author

Érico Firmino

Language

EN