Date of Award
Spring 5-2016
Degree Type
Honors College Thesis
Department
Mathematics
First Advisor
Jiu Ding
Advisor Department
Mathematics
Abstract
The present paper builds on the idea of composing music via fractals, specifically the Sierpiński Triangle and the Sierpiński Pedal Triangle. The resulting methods are intended to produce not just a series of random notes, but a series that we think pleases the ear. One method utilizes the iterative process of generating the Sierpiński Triangle and Sierpiński Pedal Triangle via matrix operations by applying this process to a geometric configuration of note names. This technique designs the largest components of the musical work first, then creates subsequent layers where each layer adds more detail.
Copyright
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Recommended Citation
Dent, Samuel C., "Applications of the Sierpiński Triangle to Musical Composition" (2016). Honors Theses. 415.
https://aquila.usm.edu/honors_theses/415