Musimathics, Volume 1: The Mathematical Foundations of Music / Edition 1

Musimathics, Volume 1: The Mathematical Foundations of Music / Edition 1

by Gareth Loy
     
 

"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense,self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology,

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Overview

"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense,self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In this volume, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Musimathics is carefully structured so that new topics depend strictly on topics already presented, carrying the reader progressively from basic subjects to more advanced ones. Cross-references point to related topics and an extensive glossary defines commonly used terms. The book explains the mathematics and physics of music for the reader whose mathematics may not have gone beyond the early undergraduate level. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The topics are all subjects that contemporary composers, musicians, and musical engineers have found to be important.

The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

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Product Details

ISBN-13:
9780262122825
Publisher:
MIT Press
Publication date:
06/23/2006
Edition description:
New Edition
Pages:
504
Product dimensions:
7.00(w) x 9.00(h) x 1.00(d)
Age Range:
18 Years

Meet the Author

Alfred Nordmann is Professor of Philosophy at Technische Universität Darmstadt and Adjunct Professor of Philosophy at the University of South Carolina.

Table of Contents

1Music and sound1
2Representing music11
3Musical scales, tuning, and intonation39
4Physical basis of sound97
5Geometrical basis of sound129
6Psychophysical basis of sound149
7Introduction to acoustics199
8Vibrating systems239
9Composition and methodology285

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