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Towards a Generative Framework for Understanding Musical Modes

by Rutty, Stirling

Abstract

Logical sets and supersets of musical modes can be generated and categorized within any equally-spaced tuning system or rhythmic beat cycle according to a certain set of simple generative procedures. These procedures are rigorously demonstrated using heptatonic and pentatonic mode sets in twelve-tone equal temperament as examples. These procedures are then extrapolated to rhythmic patterns in twelve- and sixteen-beat cycles, and a unified framework for conceptualizing and categorizing scalar and rhythmic modes of any size in any equally-spaced tuning system or beat cycle is proposed. Real-world musical applications of this framework are suggested.

Note

The author has given permission for this work to be deposited in the Digital Archive of Colorado College.

Colorado College Honor Code upheld.

Includes bibliographical references.

Administrative Notes

The author has given permission for this work to be deposited in the Digital Archive of Colorado College.

Colorado College Honor Code upheld.

Copyright
Copyright restrictions apply.
Publisher
Colorado College Tutt Library
PID
coccc:30108
Digital Origin
born digital
Extent
: illustrations
Thesis
Senior Thesis -- Colorado College
Thesis Advisor
Ofer Ben-Amots Michael Grace
Department/Program
Music
Degree Name
Bachelor of Arts
Degree Type
bachelor
Degree Grantor
Colorado College Tutt Library
Date Issued
2018-05