Musimathics: The Mathematical Foundations of Music, Volume 1

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MIT Press, Aug 19, 2011 - Education - 504 pages
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"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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Contents

1 Music and Sound
1
2 Representing Music
11
3 Musical Scales Tuning and Intonation
39
4 Physical Basis of Sound
97
5 Geometrical Basis of Sound
129
6 Psychophysical Basis of Sound
149
7 Introduction to Acoustics
199
8 Vibrating Systems
239
Appendix A
409
Appendix B
421
Glossary
453
Notes
459
References
465
Equation Index
473
Subject Index
475
Copyright

9 Composition and Methodology
285

Common terms and phrases

About the author (2011)

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

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