How Euclidean rhythms and set theory unlock the hidden architecture of musical expression

The Maths of Music (and the Music of Maths) - Milton Mermikides and Sarah Hart · 43:45 · Video: Gresham College · Watch at the source

In short: Professors Sarah Hart and Milton Mermikides explore the profound intersection of mathematics and music. This lecture reveals how geometric principles and algebraic structures, such as set theory and algorithmic composition, define the patterns we hear in music and provide a framework for creative inspiration.

Recorded on 29th June 2025 at Barnard's Inn Hall, this lecture examines the technical foundations of musical experience. The presenters demonstrate how Euclidean rhythms create specific grooves and how set theory serves as a tool to map every possible chord combination. By analyzing the work of Iannis Xenakis, a former Gresham Professor known for his algorithmic compositions, the talk highlights the geometric elegance inherent in musical structures.

The session features Sarah Hart, the first woman to serve as Gresham Professor of Geometry, and Milton Mermikides, the current Gresham Professor of Music. Their collaboration bridges the gap between abstract mathematical concepts and the practical, emotional richness of sound, illustrating that mathematics does not just explain music—it can actively inspire it.

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