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Mathematics and Music : Composition, Perception, and Performance

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""... a valuable addition to the literature and an important piece of pedagogical material. The exercises and answers make this work immediately valuable to any college-level (or advanced high school) instructor. An enlightened music department might count a course based on the book toward an undergraduate mathematics requirement. However it might be used, the authors have done a service to mathematicians and Read more...

Abstract: ""... a valuable addition to the literature and an important piece of pedagogical material. The exercises and answers make this work immediately valuable to any college-level (or advanced high school) instructor. An enlightened music department might count a course based on the book toward an undergraduate mathematics requirement. However it might be used, the authors have done a service to mathematicians and musicians alike.""-Robert Rowe, Journal of Mathematics and the Arts, 2014""Although this book is structured like a textbook (with exercises and extra material at the textbook website), it i

Author(s): Don, Gary W.; Walker, James S
Publisher: CRC Press
Year: 2013

Language: English
Pages: 334
City: Hoboken
Tags: Математика;Прочие разделы математики;

Content: Front Cover
Dedication
Contents
Preface
About the authors
Chapter 1 Pitch, Frequency, and Musical Scales
Chapter 2 Basic Musical Notation
Chapter 3 Some Music Theory
Chapter 4 Spectrograms and Musical Tones
Chapter 5 Spectrograms and Music
Chapter 6 Analyzing Pitch and Rhythm
Chapter 7 A Geometry of Harmony
Chapter 8 Audio Synthesis in Music
Appendix A Exercise Solutions
Appendix B Music Software
Appendix C Amplitude and Frequency Results
Appedix D Glossary
Appedix E Permissions
Bibliography
Color Insert
Back Cover