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Title:Polymeter: disambiguation, classification, and analytical techniques
Author(s):Rundall, Jacob D.
Director of Research:Taube, Heinrich K.
Doctoral Committee Chair(s):Taube, Heinrich K.
Doctoral Committee Member(s):Lund, Erik R.; Magee, Gayle Sherwood; Tharp, Reynold
Department / Program:Music
Degree Granting Institution:University of Illinois at Urbana-Champaign
musical meter
musical polymeter
polymeter classification
classification of polymeter
classification of musical polymeter
non-isochronous meter
polymeter representation
representation of polymeter
representation of musical polymeter
Abstract:This dissertation defines musical polymeter in relation to a theory of meter as a hierarchical structure. It also disambiguates polymeter from related concepts and defines a complete classification of polymetric possibilities using a thorough, analytical approach. The system accommodates both isochronous and non-isochronous meters and classifies polymetric structures based on the relationships between corresponding levels in the component meters. Such levels are related by factors such as proportionality, coincidence, and periodicity. The classification is created by first constructing a list of all conceivable combinations of relationships between corresponding metrical levels and then eliminating those arrangements that are impossible. The system is illustrated with numerous figures. A concise labeling system is also provided. The final chapter of this work presents various analytical techniques, including graphical and quantitative methods. This system handles all different kinds of coordinated polymeter in one conceptual framework. It also suggests an organized approach to composing with polymeter and provides polymetric configurations that may not have been previously explored by composers and theorists.
Issue Date:2011-05-25
Rights Information:Copyright 2011 Jacob D. Rundall
Date Available in IDEALS:2013-05-26
Date Deposited:2011-05

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