Graduation Year
2025
Date of Submission
4-2025
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Sam Nelson
Abstract
Mathematics and music have long shared an underlying affinity for pattern, symmetry, and precision. This paper explores two powerful mathematical frameworks— Euclidean rhythms and group actions on consonant triads—and examines their applications to musical structure and composition. Beginning with a historical overview of the interplay between mathematics and music, this paper reviews fundamental music theory concepts, introduces the construction of Euclidean rhythms and the operation of the T/I and PLR groups, and ends in an original composition synthesizing these ideas. Through this paper, we will reflect on the creative potential and practical limitations of employing mathematical techniques as generative tools in music-making.
Recommended Citation
zhao, angela, "The Mathematics of Musical Creation: Euclidean Rhythms and Triadic Group Actions" (2025). CMC Senior Theses. 3954.
https://scholarship.claremont.edu/cmc_theses/3954
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
