Fractals in Music: Introductory Mathematics for Musical Analysis Second Edition - Hardcover

Charles Madden

Hardcover

ISBN 10: 0967172772 ISBN 13: 9780967172774

Publisher: High Art Press, 2007

Synopsis

Establishing a new genre of musical analysis, this book goes beyond the usual analysis of chord symbols and period forms to examine such topics as: Fibonacci number and golden mean proportions, Statistics for distinguishing among styles, Self-similarity in form. This second edition includes many new illustrations and concepts, including: Orbit drawings of attractors, Correlation coefficients, Melodic dimensions. It is intended for readers with little mathematical background and requires only algrebra and trigonometry.

About this title

From the Publisher:

Fractals in Music is an interesting crossover between disciplines. It shows how the mathematics of chaos theory and fractal geometry can be applied to understanding music in ways that may be more applicable to the technological age than current musical analysis is.

Advertised as "music theory for the new millennium," it discusses Fibonacci numbers, statistics, and Fourier analysis, as well as randomicity, correlation, and inner/outer form.

Although focusing primarily on classical music, the concepts are equally applicable to popular music or jazz.

Many non-musicians may find Fractals in Music interesting because of its tie to the well-known fractal images that have been popular for the past several years.

About the Author:

Trained in music theory at Brigham Young University, the University of Illinois, and the University of Utah, the author has also written Fib and Phi in Music: The Golden Proportion in Musical Form.

About this edition

• Publisher: High Art Press
• Publication date: 2007
• ISBN 10: 0967172772
• ISBN 13: 9780967172774
• Binding: Hardcover
• Edition number: 2
• Number of pages: 288