Music Theory And Mathematics

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Music Theory and Mathematics

Author : Jack Moser Douthett
Publisher : University Rochester Press
ISBN 13 : 9781580462662
Total Pages : 282 pages
Book Rating : 4.4/5 (626 download)

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Book Synopsis Music Theory and Mathematics by : Jack Moser Douthett

Download or read book Music Theory and Mathematics written by Jack Moser Douthett and published by University Rochester Press. This book was released on 2008 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays in Music Theory and Mathematics: Chords, Collections, and Transformations define the state of mathematically oriented music theory at the beginning of the twenty-first century. The volume includes essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays constitute a close-knit body of work -- a family in the sense of tracing their descentfrom a few key breakthroughs by John Clough, David Lewin, and Richard Cohn in the 1980s and 1990s. They are integrated by the ongoing dialogue they conduct with one another. The editors are Jack Douthett, a mathematician and music theorist who collaborated extensively with Clough; Martha M. Hyde, a distinguished scholar of twentieth-century music; and Charles J. Smith, a specialist in tonal theory. The contributors are all prominent scholars, teaching at institutions such as Harvard, Yale, Indiana University, and the University at Buffalo. Six of them (Clampitt, Clough, Cohn, Douthett, Hook, and Smith) have received the Society for Music Theory's prestigious PublicationAward, and one (Hyde) has received the ASCAP Deems Taylor Award. The collection includes the last paper written by Clough before his death, as well as the last paper written by David Lewin, an important music theorist also recently deceased. Contributors: David Clampitt, John Clough, Richard Cohn, Jack Douthett, Nora Engebretsen, Julian Hook, Martha Hyde, Timothy Johnson, Jon Kochavi, David Lewin, Charles J. Smith, and Stephen Soderberg.

Mathematics and Music

Author : David Wright
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.

Mathematical Music Theory

Author :
Publisher :
ISBN 13 : 9789813235304
Total Pages : pages
Book Rating : 4.2/5 (353 download)

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Book Synopsis Mathematical Music Theory by :

Download or read book Mathematical Music Theory written by and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Music

Author : James S. Walker
Publisher : CRC Press
ISBN 13 : 1439867097
Total Pages : 344 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics and Music by : James S. Walker

Download or read book Mathematics and Music written by James S. Walker and published by CRC Press. This book was released on 2013-04-10 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: At first glance, mathematics and music seem to be from separate worlds—one from science, one from art. But in fact, the connections between the two go back thousands of years, such as Pythagoras’s ideas about how to quantify changes of pitch for musical tones (musical intervals). Mathematics and Music: Composition, Perception, and Performance explores the many links between mathematics and different genres of music, deepening students’ understanding of music through mathematics. In an accessible way, the text teaches the basics of reading music and explains how various patterns in music can be described with mathematics. The authors extensively use the powerful time-frequency method of spectrograms to analyze the sounds created in musical performance. Numerous examples of music notation assist students in understanding basic musical scores. The text also provides mathematical explanations for musical scales, harmony, and rhythm and includes a concise introduction to digital audio synthesis. Along with helping students master some fundamental mathematics, this book gives them a deeper appreciation of music by showing how music is informed by both its mathematical and aesthetic structures. Web Resource On the book’s CRC Press web page, students can access videos of many of the spectrograms discussed in the text as well as musical scores playable with the free music software MuseScore. An online bibliography offers many links to free downloadable articles on math and music. The web page also provides links to other websites related to math and music, including all the sites mentioned in the book.

From Music to Mathematics

Author : Gareth E. Roberts
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.

Mathematics and Music

Author : Gerard Assayag
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.

A Geometry of Music

Author : Dmitri Tymoczko
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.

The Topos of Music

Author : Guerino Mazzola
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: A Mathematical Offering

Author : Dave Benson
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.

Cool Math for Hot Music

Author : Guerino Mazzola
Publisher : Springer
ISBN 13 : 331942937X
Total Pages : 323 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 323 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.

Math in Motion

Author : Classical Conversations MultiMedia
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:

Musical Mathematics

Author : Cris Forster
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.

Music, Math, and Mind

Author : David Sulzer
Publisher :
ISBN 13 : 9780231193788
Total Pages : 240 pages
Book Rating : 4.1/5 (937 download)

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Book Synopsis Music, Math, and Mind by : David Sulzer

Download or read book Music, Math, and Mind written by David Sulzer and published by . This book was released on 2021-03-23 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a lively exploration of the mathematics, physics, and neuroscience that underlie music. Written for musicians and music lovers with any level of science and math proficiency, including none, Music, Math, and Mind demystifies how music works while testifying to its beauty and wonder.

Foundations of Diatonic Theory

Author : Timothy A. Johnson
Publisher : Scarecrow Press
ISBN 13 : 0810862336
Total Pages : 196 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Foundations of Diatonic Theory by : Timothy A. Johnson

Download or read book Foundations of Diatonic Theory written by Timothy A. Johnson and published by Scarecrow Press. This book was released on 2008-09-26 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music.

Fractals in Music

Author : Charles B. Madden
Publisher : High Art Press
ISBN 13 : 9780967172750
Total Pages : 228 pages
Book Rating : 4.1/5 (727 download)

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Book Synopsis Fractals in Music by : Charles B. Madden

Download or read book Fractals in Music written by Charles B. Madden and published by High Art Press. This book was released on 1999 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Book jacket.

Mathematics and Computation in Music

Author : Tom Collins
Publisher : Springer
ISBN 13 : 3319206036
Total Pages : 392 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematics and Computation in Music by : Tom Collins

Download or read book Mathematics and Computation in Music written by Tom Collins and published by Springer. This book was released on 2015-06-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed proceedings of the 5th International Conference on Mathematics and Computation in Music, MCM 2015, held in London, UK, in June 2015. The 24 full papers and 14 short papers presented were carefully reviewed and selected from 64 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on notation and representation, music generation, patterns, performance, similarity and contrast, post-tonal music analysis, geometric approaches, deep learning, and scales.

Exploring Musical Spaces

Author : Julian Hook
Publisher : Oxford University Press
ISBN 13 : 0190246014
Total Pages : 681 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis Exploring Musical Spaces by : Julian Hook

Download or read book Exploring Musical Spaces written by Julian Hook and published by Oxford University Press. This book was released on 2022-09-08 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.