Musical Mathematics

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Author :
Publisher : Chronicle Books
ISBN 13 : 9780811874076
Total Pages : 0 pages
Book Rating : 4.8/5 (74 download)

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Book Synopsis Musical Mathematics by : Cris Forster

Download or read book Musical Mathematics written by Cris Forster and published by Chronicle Books. This book was released on 2010-07-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Music to Mathematics

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Author :
Publisher : JHU Press
ISBN 13 : 1421419181
Total Pages : 320 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis From Music to Mathematics by : Gareth E. Roberts

Download or read book From Music to Mathematics written by Gareth E. Roberts and published by JHU Press. This book was released on 2016-02-15 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cool Math for Hot Music

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Author :
Publisher : Springer
ISBN 13 : 331942937X
Total Pages : 314 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Cool Math for Hot Music by : Guerino Mazzola

Download or read book Cool Math for Hot Music written by Guerino Mazzola and published by Springer. This book was released on 2016-10-26 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a first introduction to mathematics for music theorists, covering basic topics such as sets and functions, universal properties, numbers and recursion, graphs, groups, rings, matrices and modules, continuity, calculus, and gestures. It approaches these abstract themes in a new way: Every concept or theorem is motivated and illustrated by examples from music theory (such as harmony, counterpoint, tuning), composition (e.g., classical combinatorics, dodecaphonic composition), and gestural performance. The book includes many illustrations, and exercises with solutions.

The Good and the Beautiful Musical Multiplication

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Publisher :
ISBN 13 : 9781949062311
Total Pages : pages
Book Rating : 4.0/5 (623 download)

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Book Synopsis The Good and the Beautiful Musical Multiplication by : Jenny Phillips

Download or read book The Good and the Beautiful Musical Multiplication written by Jenny Phillips and published by . This book was released on 2019-03 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math and Music

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Author :
Publisher : Dale Seymour Publications Secondary
ISBN 13 : 9780866518291
Total Pages : 0 pages
Book Rating : 4.5/5 (182 download)

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Book Synopsis Math and Music by : Trudi Hammel Garland

Download or read book Math and Music written by Trudi Hammel Garland and published by Dale Seymour Publications Secondary. This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the beat of a tribal drum to a choir of crickets--music is everywhere. Math and Music explores the music of various cultures and the sounds heard in nature while highlighting the mathematical concepts, such as proportion, patterns, Fibonacci numbers, geometric transformations, and trigonometry, found in music. The companion poster explores mysterious connections between seemingly different entities, such as music and animals! A four-page guide explains the connections students may discover.

Music: A Mathematical Offering

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521853877
Total Pages : 426 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Music: A Mathematical Offering by : Dave Benson

Download or read book Music: A Mathematical Offering written by Dave Benson and published by Cambridge University Press. This book was released on 2007 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.

Harmonograph

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Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802714099
Total Pages : 68 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Harmonograph by : Anthony Ashton

Download or read book Harmonograph written by Anthony Ashton and published by Bloomsbury Publishing USA. This book was released on 2003-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.

Mathematics and Music

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821848739
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics and Music by : David Wright

Download or read book Mathematics and Music written by David Wright and published by American Mathematical Soc.. This book was released on 2009 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Science, Music, And Mathematics: The Deepest Connections

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Author :
Publisher : World Scientific
ISBN 13 : 9811240752
Total Pages : 228 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Science, Music, And Mathematics: The Deepest Connections by : Michael Edgeworth Mcintyre

Download or read book Science, Music, And Mathematics: The Deepest Connections written by Michael Edgeworth Mcintyre and published by World Scientific. This book was released on 2021-11-03 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Michael Edgeworth McIntyre is an eminent scientist who has also had a part-time career as a musician. From a lifetime's thinking, he offers this extraordinary synthesis exposing the deepest connections between science, music, and mathematics, while avoiding equations and technical jargon. He begins with perception psychology and the dichotomization instinct and then takes us through biological evolution, human language, and acausality illusions all the way to the climate crisis and the weaponization of the social media, and beyond that into the deepest parts of theoretical physics — demonstrating our unconscious mathematical abilities.He also has an important message of hope for the future. Contrary to popular belief, biological evolution has given us not only the nastiest, but also the most compassionate and cooperative parts of human nature. This insight comes from recognizing that biological evolution is more than a simple competition between selfish genes. Rather, he suggests, in some ways it is more like turbulent fluid flow, a complex process spanning a vast range of timescales.Professor McIntyre is a Fellow of the Royal Society of London (FRS) and has worked on problems as diverse as the Sun's magnetic interior, the Antarctic ozone hole, jet streams in the atmosphere, and the psychophysics of violin sound. He has long been interested in how different branches of science can better communicate with each other and with the public, harnessing aspects of neuroscience and psychology that point toward the deep 'lucidity principles' that underlie skilful communication.

The Math Behind the Music

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521810957
Total Pages : 7 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Math Behind the Music by : Leon Harkleroad

Download or read book The Math Behind the Music written by Leon Harkleroad and published by Cambridge University Press. This book was released on 2006-08-14 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM includes musical selections.

Music Is Math

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Publisher : Trafford Publishing
ISBN 13 : 1412059127
Total Pages : 51 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Music Is Math by : Oliver W. Luck

Download or read book Music Is Math written by Oliver W. Luck and published by Trafford Publishing. This book was released on 2006 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Monster Musical Chairs

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Author :
Publisher : Harper Collins
ISBN 13 : 0064467309
Total Pages : 44 pages
Book Rating : 4.0/5 (644 download)

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Book Synopsis Monster Musical Chairs by : Stuart J. Murphy

Download or read book Monster Musical Chairs written by Stuart J. Murphy and published by Harper Collins. This book was released on 2000-08-22 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monster Musical Chairs Every time the music stops, one more monster is OUT! Kids won't be able to sit still for this musical introduction to subtraction at its simplest.

A Geometry of Music

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Author :
Publisher : OUP USA
ISBN 13 : 0195336674
Total Pages : 469 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis A Geometry of Music by : Dmitri Tymoczko

Download or read book A Geometry of Music written by Dmitri Tymoczko and published by OUP USA. This book was released on 2011-03-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.

Mathematics and Music

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662049279
Total Pages : 294 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Mathematics and Music by : Gerard Assayag

Download or read book Mathematics and Music written by Gerard Assayag and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.

The Topos of Music

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Author :
Publisher : Birkhäuser
ISBN 13 : 303488141X
Total Pages : 1310 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Topos of Music by : Guerino Mazzola

Download or read book The Topos of Music written by Guerino Mazzola and published by Birkhäuser. This book was released on 2012-12-06 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts

Music Math

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Author :
Publisher : The Rosen Publishing Group, Inc
ISBN 13 : 9780823988778
Total Pages : 36 pages
Book Rating : 4.9/5 (887 download)

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Book Synopsis Music Math by : Kathleen Collins

Download or read book Music Math written by Kathleen Collins and published by The Rosen Publishing Group, Inc. This book was released on 2010-01-01 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains math fractions by means of musical notation.

Math in Motion

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Publisher :
ISBN 13 : 9780996566001
Total Pages : pages
Book Rating : 4.5/5 (66 download)

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Book Synopsis Math in Motion by : Classical Conversations MultiMedia

Download or read book Math in Motion written by Classical Conversations MultiMedia and published by . This book was released on 2015-11-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: