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MADDEN, Charles

Fractals in Music. Introductory Mathematics for Musical Analysis

1999

Thursday 26 October 2006, by Rob Weale

In this book, the author proposes “a new genre of musical analysis”. Madden writes that his text goes “beyond the usual analysis of chord structures and period forms” to focus on topics such as: Fibonacci numbers, the golden mean, statistics and styles, Fourier analysis of melodic structures, chaos theory, fractal theory, self-similarity, attractors and randomicity. In this context, he proposes works by Bach, Beethoven, Bartók, Debussy, Dodge, Schenker, Schillinger, Schoenberg, Schubert, Stockhausen, Stravinsky, Varèse and Xenakis, as examples.

Table of Contents:

1. Introduction
2. Self-Similarity
3. Attractors
4. Fib and Phi
5. Resonance
6. Randomicity
7. Dimension
8. Statistics
9. Transforms

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