Title:
Musimathics : the mathematical foundations of music / Gareth Loy.
Author:
Loy, D. Gareth.
Publication Information:
Cambridge, Mass. ; London : MIT Press, ©2006-2007.
Call Number:
ML3805 .L78 2006 V.1
Abstract:
"In this volume, Gareth 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 http://www.musimathics.com [Publisher description of vol. 1].
Volume 2 of Musimathics continues the story of music engineering begun in volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio [Publisher description].
Electronic Access:
Vol. 1: Available to Stanford-affiliated users atVol. 2: Available to Stanford-affiliated users at
Errata available at
ebrary, Vol. 1 http://site.ebrary.com/id/10173588
ebrary, Vol. 2 http://site.ebrary.com/id/10185580
Table of contents http://catdir.loc.gov/catdir/toc/fy0710/2005051090.html
ISBN:
9780262122825
9780262122856
9780262516563
Physical Description:
2 volumes : illustrations ; 24 cm
Contents:
v. 1.: Music and sound -- Representing music -- Musical scales, tuning, and intonation -- Physical basis of sound -- Geometrical basis of sound -- Psychophysical basis of sound -- Introduction to acoustics -- Vibrating systems -- Composition and methodology -- v. 2.: Digital signals and sampling -- Musical signals -- Spectral analysis and synthesis -- Convolution -- Filtering -- Resonance -- The wave equation -- Acoustical systems -- Sound synthesis -- Dynamic spectra.
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