Infinite Rhythmic Tiling Canons

Year: 2015 Authors: Clifton Callender

Core claim

Sturmian rhythms provide a method for constructing infinite, aperiodic rhythmic tiling canons whose layered structure follows the continued fraction of the slope.

Topics

maximally-even rhythms, Sturmian sequences, rhythmic tiling canons, aperiodic rhythm

Domains

discrete mathematics, number theory, continued fractions, aperiodic tilings, music theory, composition, rhythm studies

Methods

mechanical sequences, digitization of lines, hierarchical augmentation, canonic construction

Media

rhythmic notation, sequence diagrams, figures, musical examples

Source status

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