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.

Fractals in Music: Introductory Mathematics for Musical Analysis Second Edition

Arts & Photography

Charles Madden

Music

High Art Press

This book suggests a new way to look at musical form based on fractal geometry. Specifically, it draws on writings of Arnold Schoenberg and Rudoph Reti suggesting that music can be broken down into smaller and smaller self-similar parts in the manner of a fractal image. It is intended for university music students at all levels. The mathematics used is elementary algebra and trigonometry.

Self-Similarity in Music: Inner/Outer Form

56 years of marriage and 11 children! The Maddens of Baltimore will surprise you, comfort you, make you laugh until you cry, and make you cry until you laugh again! From games of “pitch” to petty thievery, from over zealous confessions to exacerbating obedience, there is truly never a dull moment! But these true stories about a real family, as told by the youngest brother, are much more than just a collection of humor. Together, they weave a tapestry about family life—the way it should be lived and enjoyed. The virtues and the vices, the laughter and the frustration, the happiness and the mourning, the prosperity and the poverty: the family is the first school of love. Experience this with the Maddens of Baltimore. Bring them home with you today!

Giving Up Stealing ... for Lent!

Biographies & Memoirs

Historical

Requiem Press

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Books by Charles Madden