Theses and Dissertations

Advisor

Yarahmadian, Shantia

Committee Member

Dang, Hai

Committee Member

Qian, Chuanxi

Date of Degree

5-13-2022

Document Type

Graduate Thesis - Open Access

Major

Mathematics

Degree Name

Master of Science (M.S.)

College

College of Arts and Sciences

Department

Department of Mathematics and Statistics

Abstract

This thesis addresses the question of mathematical involvement in music, a topic long discussed going all the way back to Plato. It details the mathematical construction of the three main tuning systems (Pythagorean, just intonation, and equal temperament), the methods by which they were built and the mathematics that drives them through the lens of a historical perspective. It also briefly touches on the philosophical aspects of the tuning systems and whether their differences affect listeners. It further details the invention of the Fourier Series and their relation to the sound wave to explain the concept of overtones within the tuning systems.

Share

COinS