Fractals in Music: Introductory Mathematics for Musical Analysis

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High Art Press, 1999 - Music - 210 pages
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Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Book jacket.
 

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Contents

Introduction
1
Conclusion
17
SelfSimilarity in the Harmonic Sequence
31
Application to Atonality
47
Organicism
61
Resonance
77
Randomicity
97
Conclusions
117
Conclusions
136
Correlation
151
Transforms
163
Selected Bibliography
191
Index
205
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