Abstract

The Tonnetz is one link among many that exists between mathematics and music theory. This study aims to understand the historical contexts in which the Tonnetz was developed, describe note- and chord-based graphs, explain the mathematical implications of how the note-based Tonnetz graph is constructed in two dimensions, and briefly mention how the Tonnetz was generalized by Dmitri Tymoczko and Konstanze Rietsch to n-dimensional space. We also include introductions to relevant music theoretical and mathematical concepts necessary to understand the discussion within this thesis some of which include: set and group theory, vector spaces, introductory Euclidean geometry, and topology.

Advisor

Lester, Cynthia

Department

Mathematics

Disciplines

Geometry and Topology

Keywords

Tonnetz, topology

Publication Date

2025

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

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© Copyright 2025 Marissa C. Numer