D. Gareth Loy

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."--BOOK JACKET.

Musimathics: Musical elements

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].

The Mathematical Foundations of Music

Musimathics

Peter M. Todd

Professor Peter Todd

President Gareth Inc Gareth Loy

As one of our highest expressions of thought and creativity, music has always been adifficult realm to capture, model, and understand. The connectionist paradigm, now beginning toprovide insights into many realms of human behavior, offers a new and unified viewpoint from whichto investigate the subtleties of musical experience. Music and Connectionism provides a freshapproach to both fields, using the techniques of connectionism and parallel distributed processingto look at a wide range of topics in music research, from pitch perception to chord fingering tocomposition.The contributors, leading researchers in both music psychology and neural networks,address the challenges and opportunities of musical applications of network models. The result is acurrent and thorough survey of the field that advances understanding of musical phenomenaencompassing perception, cognition, composition, and performance, and in methods for network designand analysis.Peter M. Todd is a doctoral candidate in the PDP Research Group of the PsychologyDepartment at Stanford University. Gareth Loy is an award-winning composer, a lecturer in the MusicDepartment of the University of California, San Diego, and a member of the technical staff of FroxInc.Contributors. Jamshed J. Bharucha. Peter Desain. Mark Dolson. Robert Gjerclingen. HenkjanHoning. B. Keith Jenkins. Jacqueline Jons. Douglas H. Keefe. Tuevo Kohonen. Bernice Laden. PauliLaine. Otto Laske. Marc Leman. J. P. Lewis. Christoph Lischka. D. Gareth Loy. Ben Miller. MichaelMozer. Samir I. Sayegh. Hajime Sano. Todd Soukup. Don Scarborough. Kalev Tiits. Peter M. Todd. KariTorkkola.

D. Gareth Loy

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