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Invariance properties of Schoenberg's tone row system

Published online by Cambridge University Press:  17 February 2009

James A. Fill  and
Alan J. Izenman
James A. Fill
Affiliation:
Department of Statistics, University of Chicago, 5734 South University Avenue, Chicago, Illinois 60637, U.S.A.
Alan J. Izenman
Affiliation:
Department of Applied Statistics, School of Statistics, University of Minnesota, Saint Paul, Minnesota 55108, U.S.A.
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Abstract

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This paper organizes in a systematic manner the major features of a general theory of m-tone rows. A special case of this development is the twelve-tone row system of musical composition as introduced by Arnold Schoenberg and his Viennese school. The theory as outlined here applies to tone rows of arbitrary length, and can be applied to microtonal composition for electronic media.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 3 , January 1980 , pp. 268 - 282
Copyright
Copyright © Australian Mathematical Society 1980

References

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