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The Law of One: recursive structures in composition

Published online by Cambridge University Press:  04 April 2001

Christos Hatzis
Affiliation:
Faculty of Music, University of Toronto, Edward Johnson Building, 80 Queens Park Crescent, Toronto, Ontario M5S 2C5, Canadachatzis@chass.utoronto.ca www.chass.utoronto.ca:8080/∼chatzis

Abstract

The Law of One, my doctoral thesis composed during 1980 and 1981, was the first in an ongoing series of works which employed the numeric relations of the overtone series to determine all other compositional parameters, pitch, timbre, harmony, rhythm and several nested magnifications of form. The entire composition is a large fractal with a simple principle of construction permeating every aspect of the composition from micro to macro. Copies of the score are available from UMI. Write or call UMI, 300 N.Zeeb Road, Ann Arbor, MI 48106, USA. Tel. (800) 521-0660. Ask for order no. DA8214158.

Type
Research Article
Copyright
© 1998 Cambridge University Press

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Footnotes

I am indebted to Prof. Paul Pedersen, Prof. Gustav Ciamaga, Erik Ross and Andreas Andreopoulos for their assistance during the preparation of this paper.