Gareth Loy: Musimathics: The Mathematical Foundations of Music, Vols. 1-2 (2006)

“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 volume 1, 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.

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 material in volume 1 is all preparatory to the subjects presented in this volume, although either volume can be read independently. Cross-references to volume 1 are provided for concepts introduced in the earlier volume, and additional mathematical orientation is offered where necessary. The topics are all subjects that contemporary composers, musicians, and music 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.

Foreword by John Chowning
Publisher MIT Press, 2006, 2007
ISBN 0262122820, 9780262122825 (Vol 1)
ISBN 0262122855, 9780262122856 (Vol 2)

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Caleb Kelly: Cracked Media: The Sound of Malfunction (2009)

From the mid-twentieth century into the twenty-first, artists and musicians manipulated, cracked, and broke audio media technologies to produce novel sounds and performances. Artists and musicians, including John Cage, Nam June Paik, Yasunao Tone, and Oval, pulled apart both playback devices (phonographs and compact disc players) and the recorded media (vinyl records and compact discs) to create an extended sound palette. In Cracked Media, Caleb Kelly explores how the deliberate utilization of the normally undesirable (a crack, a break) has become the site of productive creation. Cracked media, Kelly writes, slides across disciplines, through music, sound, and noise. Cracked media encompasses everything from Cage’s silences and indeterminacies, to Paik’s often humorous tape works, to the cold and clean sounds of digital glitch in the work of Tone and Oval. Kelly offers a detailed historical account of these practices, arguing that they can be read as precursors to contemporary new media.

Kelly looks at the nature of recording technology and the music industry in relation to the crack and the break, and discusses the various manifestations of noise, concluding that neither theories of recording nor theories of noise offer an adequate framework for understanding cracked media. Connecting the historical avant-garde to modern-day turntablism, and predigital destructive techniques to the digital ticks, pops, and clicks of the glitch, Kelly proposes new media theorizations of cracked media that focus on materiality and the everyday.

Publisher MIT Press, 2009
ISBN 0262013142, 9780262013147
392 pages

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Download (removed on 2013-12-5 upon request of the author)
See Caleb Kelly’s Cracked and Broken Media in 20th and 21st Century Music and Sound, 2006 (added on 2014-2-19)