Mathematical Models for Binarization and Ternarization of Musical Rhythms

Year: 2007 Authors: Francisco Gómez; Andrew Melvin; Imad Khoury; Rolando Pérez-Fernández; Jörg Kienzle; David Rappaport; Erin McLeish; Godfried Toussaint

Core claim

Geometric proximity rules provide workable mathematical models for binarization and ternarization of rhythms.

Topics

rhythmic transformation, geometric proximity, historical evolution, inter-cultural contact

Domains

combinatorics, assignment problems, edit distance, phylogenetic analysis, music theory, ethnomusicology, composition, cultural heritage

Methods

algorithm design, swap distance, minimum-cost assignment, comparative analysis

Media

rhythmic timelines, metric feet, binary and ternary pulse grids, tables of examples

Source status

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