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Fractals in Music: Introductory Mathematics for Musical Analysis (Inmusic)
 
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Fractals in Music: Introductory Mathematics for Musical Analysis (Inmusic) (ハードカバー)

by Charles Madden (著)
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Product Description

Book Description

Establishing a new genre of musical analysis, Fractals in Music goes beyond the usual analysis of chord structures and period forms to examine such topics as:

Fibonacci number and golden mean proportions; Statistics for distinguishing among styles; Fourier analysis of melodic structure; Inner/outer form.

It is intended for anyone interested in music or fractals and who has some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms.

As the first of a series of advanced volumes, Fractals in Music is expected to be on the shelves of musicians for decades to come.
--This text refers to an out of print or unavailable edition of 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.
--This text refers to an out of print or unavailable edition of this title.


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