Quasimusic: tilings and metre

Rodrigo Treviño

3 citations0/0 files storedJournal of Mathematics and the Arts

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Musicology and Musical Analysis Mathematics and Applications Music Technology and Sound Studies

Abstract

In this paper, I try to explain how, by using concepts and ideas from the mathematical theory of tilings, we can approach metre in music through a geometric and algebraic point of view, being pinned down by a subgroup of R with the hierarchical structure, leading to an abstract approach to rhythm, tempo and time signatures. I will also describe an algorithmic approach to write down sound using this structure which gives a way in which music can be written in an irrational metre.

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References

2017Islamic Geometric Patterns 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues 1992Supplementary Sets and Regular Complementary Unending Canons (Part Three)1991Supplementary Sets and Regular Complementary Unending Canons (Part One)2013Sturmian Canons 2006Asymmetric Rhythms and Tiling Canons 2015Cognitive Bias and Claims of Quasiperiodicity in Traditional Islamic Patterns 2009Special Issue: Tiling Problems in Music Guest Editors’ Foreword

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