Dissertation/Thesis Abstract

Dividing spaces: A historical, philosophical, and theoretical approach to incommensurable interval ratios
by Shafer, Seth, M.M., California State University, Long Beach, 2012, 73; 1517805
Abstract (Summary)

This study explores the idea of incommensurability and its relation to the original composition Anomaly for solo flute with electronics and ensemble. Incommensurability is the point of tension and the cognitive gap between two distinctly different ways of viewing the world. This concept is closely associated with Pythagorean musical theory, particularly with the geometric mean and the irrationality of the square root of two. After arguing for and demonstrating the application of the geometric mean, this study relates Anomaly to concepts of overtone and time in Gérard Grisey's spectral masterpiece Les éspaces acoustiques.

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Indexing (document details)
Advisor: Herman, Martin
School: California State University, Long Beach
School Location: United States -- California
Source: MAI 51/01M(E), Masters Abstracts International
Subjects: Music
Publication Number: 1517805
ISBN: 978-1-267-47432-2
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