MADDEN, Charles


Fractals in Music. Introductory Mathematics for Musical Analysis

United States: High Art Press.

Language(s): English


Chaos Theory Fractal Theory Automated Composition Stochastic Music Algorithmic Music


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, Varčse 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