Presenter(s)

    Ava Franke

    Comments

    1:15-2:30, Kennedy Union Ballroom

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    Description

    This project explores the application of group theory to musical intervals within a major scale. By representing intervals as a subgroup of the integers modulo 12, we examine properties such as transitivity, faithfulness, isomorphism, homomorphism, rotations, and reflections. Our analysis reveals that musical intervals exhibit both cyclic and dihedral group structures. This establishes the integers modulo 12 as a symmetry group, allowing for understanding of note transformations in 12-tone equal temperament.

    Publication Date

    4-23-2025

    Project Designation

    Capstone Project

    Primary Advisor

    Atif A. Abueida, Richard Buckalew

    Primary Advisor's Department

    Mathematics

    Keywords

    Stander Symposium, College of Arts and Sciences

    Group Action in Major Scale Intervals

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