Math And Music
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From Music To Mathematics
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Author : Gareth E. Roberts
language : en
Publisher: JHU Press
Release Date : 2016-02-15
From Music To Mathematics written by Gareth E. Roberts and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-15 with Mathematics categories.
A guided tour of the mathematical principles inherent in music. Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational. Topics discussed in the book include • Rhythm • Introductory music theory • The science of sound • Tuning and temperament • Symmetry in music • The Bartók controversy • Change ringing • Twelve-tone music • Mathematical modern music • The Hemachandra–Fibonacci numbers and the golden ratio • Magic squares • Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.
Mathematics And Music
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Author : David Wright
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Mathematics And Music written by David Wright and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Many people intuitively sense that there is a connection between mathematics and music. If nothing else, both involve counting. There is, of course, much more to the association. David Wright's book is an investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music. The text explores the common foundations of the two subjects, which are developed side by side. Musical and mathematical notions are brought together, such as scales and modular arithmetic, intervals and logarithms, tone and trigonometry, and timbre and harmonic analysis. When possible, discussions of musical and mathematical notions are directly interwoven. Occasionally the discourse dwells for a while on one subject and not the other, but eventually the connection is established, making this an integrative treatment of the two subjects. The book is a text for a freshman level college course suitable for musically inclined or mathematically inclined students, with the intent of breaking down any apprehension that either group might have for the other subject. Exercises are given at the end of each chapter. The mathematical prerequisites are a high-school level familiarity with algebra, trigonometry, functions, and graphs. Musically, the student should have had some exposure to musical staffs, standard clefs, and key signatures, though all of these are explained in the text.
Music A Mathematical Offering
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Author : Dave Benson
language : en
Publisher: Cambridge University Press
Release Date : 2007
Music A Mathematical Offering written by Dave Benson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Music And Mathematics
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Author : John Fauvel
language : en
Publisher: Oxford University Press, USA
Release Date : 2003
Music And Mathematics written by John Fauvel and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.
Music Is Math
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Author : Oliver W. Luck
language : en
Publisher: Trafford Publishing
Release Date : 2006
Music Is Math written by Oliver W. Luck and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.
An easy method for reading and counting music rhythm patterns. Counting musically is enjoying music for life. Use the key to determine if you have counted correctly.
A Geometry Of Music
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Author : Dmitri Tymoczko
language : en
Publisher: Oxford University Press
Release Date : 2010-12-03
A Geometry Of Music written by Dmitri Tymoczko and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-03 with Music categories.
How is the Beatles' "Help!" similar to Stravinsky's "Dance of the Adolescents?" How does Radiohead's "Just" relate to the improvisations of Bill Evans? And how do Chopin's works exploit the non-Euclidean geometry of musical chords? In this groundbreaking work, author Dmitri Tymoczko describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval polyphony to contemporary rock. Tymoczko identifies five basic musical features that jointly contribute to the sense of tonality, and shows how these features recur throughout the history of Western music. In the process he sheds new light on an age-old question: what makes music sound good? A Geometry of Music provides an accessible introduction to Tymoczko's revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing relationships among familiar chords and scales, giving readers the tools to translate between the musical and visual realms and revealing surprising degrees of structure in otherwise hard-to-understand pieces. Tymoczko uses this theoretical foundation to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the "common practice" period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. He discusses a host of familiar pieces by a wide range of composers, from Bach to the Beatles, Mozart to Miles Davis, and many in between. A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers' understanding, along with a series of appendices that explore the technical details of this exciting new theory.
Math And Music
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Author : Trudi Hammel Garland
language : en
Publisher:
Release Date : 1995
Math And Music written by Trudi Hammel Garland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Musical Mathematics
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Author : Cris Forster
language : en
Publisher: Chronicle Books
Release Date : 2010-07-14
Musical Mathematics written by Cris Forster and has been published by Chronicle Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-14 with Music categories.
Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.
Math In Motion
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Author : Classical Conversations MultiMedia
language : en
Publisher:
Release Date : 2015-11-04
Math In Motion written by Classical Conversations MultiMedia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-04 with categories.
Music And Mathematics
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Author : John Fauvel
language : en
Publisher:
Release Date : 2006
Music And Mathematics written by John Fauvel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with History categories.
From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.