Musimathics Volume I: Musical Elements
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Musimathics
the mathematical
foundations
of music
volume
1
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, 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 prop-
erties 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 mathe-
matics 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 http://www.musimathics.com.
Gareth Loy is a musician and award-winning composer. He has published widely and, during a long
and successful career at the cutting edge of multimedia computing, has worked as a researcher,
lecturer, programmer, software architect, and digital systems engineer. He is President of Gareth, Inc.,
a provider of software engineering and consulting services internationally.
“
Musimathics
is destined to be required reading
and a valued reference for every composer, music
researcher, multimedia engineer, and anyone else
interested in the interplay between acoustics and
music theory. This is truly a landmark work of
scholarship and pedagogy, and Gareth Loy pre-
sents it with quite remarkable rigor and humor.”
Stephen Travis Pope, CREATE Lab, Department of
Music, University of California, Santa Barbara
“From his long and successful experience as a
composer and computer-music researcher, Gareth
Loy knows what is challenging and what is impor-
tant. That comprehensiveness makes
Musimathics
both exciting and enlightening. The book is crystal
clear, so that even advanced issues appear simple.
Musimathics
will be essential for those who want
to understand the scientific foundations of music,
and for anyone wishing to create or process musical
sounds with computers.”
Jean-Claude Risset, Laboratoire de Mécanique et
d’Acoustique,
CNRS, France
The MIT Press Massachusetts Institute of Technology Cambridge, Massachusetts 02142 http://mitpress.mit.edu
0-262-12282-0 978-0-262-12282-5
Musimathics
the mathematical foundations of music volume 1
Gareth Loy
MUSIC / MATHEMATICS
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#854144 05/11/2006
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