Music Mathematics And Language

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Music, Mathematics and Language

Author : Keiji Hirata
Publisher : Springer Nature
ISBN 13 : 9811951667
Total Pages : 264 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Music, Mathematics and Language by : Keiji Hirata

Download or read book Music, Mathematics and Language written by Keiji Hirata and published by Springer Nature. This book was released on 2022-12-05 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach to computational musicology in which music becomes a computational entity based on human cognition, allowing us to calculate music like numbers. Does music have semantics? Can the meaning of music be revealed using symbols and described using language? The authors seek to answer these questions in order to reveal the essence of music. Chapter 1 addresses a very fundamental point, the meaning of music, while referring to semiotics, gestalt, Schenkerian analysis and cognitive reality. Chapter 2 considers why the 12-tone equal temperament came to be prevalent. This chapter serves as an introduction to the mathematical definition of harmony, which concerns the ratios of frequency in tonic waves. Chapter 3, “Music and Language,” explains the fundamentals of grammar theory and the compositionality principle, which states that the semantics of a sentence can be composed in parallel to its syntactic structure. In turn, Chapter 4 explains the most prevalent score notation – the Berklee method, which originated at the Berklee School of Music in Boston – from a different point of view, namely, symbolic computation based on music theory. Chapters 5 and 6 introduce readers to two important theories, the implication-realization model and generative theory of tonal music (GTTM), and explain the essence of these theories, also from a computational standpoint. The authors seek to reinterpret these theories, aiming at their formalization and implementation on a computer. Chapter 7 presents the outcomes of this attempt, describing the framework that the authors have developed, in which music is formalized and becomes computable. Chapters 8 and 9 are devoted to GTTM analyzers and the applications of GTTM. Lastly, Chapter 10 discusses the future of music in connection with computation and artificial intelligence. This book is intended both for general readers who are interested in music, and scientists whose research focuses on music information processing. In order to make the content as accessible as possible, each chapter is self-contained.

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.

Math and Music

Author : Trudi Hammel Garland
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.

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.

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.

Science, Music, And Mathematics: The Deepest Connections (Second Edition)

Author : Michael Edgeworth Mcintyre
Publisher : World Scientific
ISBN 13 : 9811276994
Total Pages : 239 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Science, Music, And Mathematics: The Deepest Connections (Second Edition) by : Michael Edgeworth Mcintyre

Download or read book Science, Music, And Mathematics: The Deepest Connections (Second Edition) written by Michael Edgeworth Mcintyre and published by World Scientific. This book was released on 2023-08-02 with total page 239 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. In this book he offers an extraordinary synthesis, revealing the many deep connections between science, music, and mathematics. He avoids equations and technical jargon. The connections are deep in the sense of being embedded in our very nature, rooted in biological evolution over hundreds of millions of years.Michael guides us through biological evolution, perception psychology, and even unconscious science and mathematics, all the way to the scientific uncertainties about the climate crisis.He also has a message of hope for the future. Contrary to popular belief, he holds that 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 far more than a simple competition between selfish genes. Instead, he argues, in some ways it is more like the turbulent, eddying flow in a river or in an atmospheric jet stream, a complex process spanning a vast range of timescales.Professor McIntyre is a Fellow of the Royal Society of London (FRS) and has long been interested in how different branches of science can better communicate with each other, and with the public. His work harnesses aspects of neuroscience and psychology that point toward the deep 'lucidity principles' that underlie skilful communication, principles related to the way music works — music of any genre.This Second Edition sharpens the previous discussion of communication skills and their importance for today's great problems, ranging from the widely discussed climate crisis to the need to understand the strengths and weaknesses of artificial intelligence.

Music and Mathematics

Author : Philippe Vendrix
Publisher : Brepols Publishers
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Music and Mathematics by : Philippe Vendrix

Download or read book Music and Mathematics written by Philippe Vendrix and published by Brepols Publishers. This book was released on 2008 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 20041123

Music - Math Language History Reading Science: Journal

Author : All about Me
Publisher : Independently Published
ISBN 13 : 9781720283850
Total Pages : 112 pages
Book Rating : 4.2/5 (838 download)

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Book Synopsis Music - Math Language History Reading Science: Journal by : All about Me

Download or read book Music - Math Language History Reading Science: Journal written by All about Me and published by Independently Published. This book was released on 2018-09-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique Sheet Music book consists of 11 plain staffs (American English) / staves (British English) and is intended for composers who are writing their own music or songs. Portable size book is 6" x 9" Interior Style: 11 Blank Staffs/Staves per Page Interior Paper Style: Blank Staffs Soft Cover 110 White Pages (55 sheets) We hope you enjoy our uniquely designed journals and other blank books. Discover our ever-growing line of designs and interior styles by clicking on our name All About Me above.

The Language of Mathematics

Author : Robert L. Baber
Publisher : John Wiley & Sons
ISBN 13 : 1118061764
Total Pages : 350 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Language of Mathematics by : Robert L. Baber

Download or read book The Language of Mathematics written by Robert L. Baber and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.

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.

Harmonograph

Author : Anthony Ashton
Publisher : eBook Partnership
ISBN 13 : 1912706059
Total Pages : 64 pages
Book Rating : 4.9/5 (127 download)

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Book Synopsis Harmonograph by : Anthony Ashton

Download or read book Harmonograph written by Anthony Ashton and published by eBook Partnership. This book was released on 2018-04-01 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why did Pythagoras pause outside a Blacksmith's workshop? Can the nature of Harmony really be understood visually? Why do harmonies leave gaps or 'commas' when added together? In this charming little book Anthony Ashton uses a Victorian device called a Harmonograph to tell the story of Harmony and the intervals in the scale. With useful appendices and exquisite line drawings this is a unique and original introduction to this timeless subject. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.

Music and Mathematics

Author : John Fauvel
Publisher : Oxford University Press, USA
ISBN 13 : 9780199298938
Total Pages : 208 pages
Book Rating : 4.2/5 (989 download)

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Book Synopsis Music and Mathematics by : John Fauvel

Download or read book Music and Mathematics written by John Fauvel and published by Oxford University Press, USA. This book was released on 2006 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.

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.

Harnessed

Author : Mark Changizi
Publisher : BenBella Books, Inc.
ISBN 13 : 1935618830
Total Pages : 216 pages
Book Rating : 4.9/5 (356 download)

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Book Synopsis Harnessed by : Mark Changizi

Download or read book Harnessed written by Mark Changizi and published by BenBella Books, Inc.. This book was released on 2011-08-02 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific consensus is that our ability to understand human speech has evolved over hundreds of thousands of years. After all, there are whole portions of the brain devoted to human speech. We learn to understand speech before we can even walk, and can seamlessly absorb enormous amounts of information simply by hearing it. Surely we evolved this capability over thousands of generations. Or did we? Portions of the human brain are also devoted to reading. Children learn to read at a very young age and can seamlessly absorb information even more quickly through reading than through hearing. We know that we didn't evolve to read because reading is only a few thousand years old. In Harnessed, cognitive scientist Mark Changizi demonstrates that human speech has been very specifically “designed" to harness the sounds of nature, sounds we've evolved over millions of years to readily understand. Long before humans evolved, mammals have learned to interpret the sounds of nature to understand both threats and opportunities. Our speech—regardless of language—is very clearly based on the sounds of nature. Even more fascinating, Changizi shows that music itself is based on natural sounds. Music—seemingly one of the most human of inventions—is literally built on sounds and patterns of sound that have existed since the beginning of time. From Library Journal: "Many scientists believe that the human brain's capacity for language is innate, that the brain is actually "hard-wired" for this higher-level functionality. But theoretical neurobiologist Changizi (director of human cognition, 2AI Labs; The Vision Revolution) brilliantly challenges this view, claiming that language (and music) are neither innate nor instinctual to the brain but evolved culturally to take advantage of what the most ancient aspect of our brain does best: process the sounds of nature ... it will certainly intrigue evolutionary biologists, linguists, and cultural anthropologists and is strongly recommended for libraries that have Changizi's previous book." From Forbes: “In his latest book, Harnessed, neuroscientist Mark Changizi manages to accomplish the extraordinary: he says something compellingly new about evolution.… Instead of tackling evolution from the usual position and become mired in the usual arguments, he focuses on one aspect of the larger story so central to who we are, it may very well overshadow all others except the origin of life itself: communication."

The Mathematics of Music and Art

Author : Arturo Portnoy
Publisher : Springer
ISBN 13 : 9783031344398
Total Pages : 0 pages
Book Rating : 4.3/5 (443 download)

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Book Synopsis The Mathematics of Music and Art by : Arturo Portnoy

Download or read book The Mathematics of Music and Art written by Arturo Portnoy and published by Springer. This book was released on 2023-07-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the relationships between music, the sciences, and mathematics, both ancient and modern, with a focus on the big picture for a general audience as opposed to delving into very technical details. The language of music is deciphered through the language of mathematics. Readers are shown how apparently unrelated areas of knowledge complement each other and in fact propel each other’s advancement. The presentation as well as the collection of topics covered throughout is unique and serves to encourage exploration and also, very concretely, illustrates the cross- and multidisciplinary nature of knowledge. Inspired by an introductory, multidisciplinary course, the author explores the relationships between the arts, sciences, and mathematics in the realm of music. The book has no prerequisites; rather it aims to give a broad overview and achieve the integration of the three presented themes. Mathematical tools are introduced and used to explain various aspects of music theory, and the author illustrates how, without mathematics, music could not have been developed.

The Language of Mathematics

Author : Keith Devlin
Publisher : Macmillan
ISBN 13 : 9780805072549
Total Pages : 372 pages
Book Rating : 4.0/5 (725 download)

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Book Synopsis The Language of Mathematics by : Keith Devlin

Download or read book The Language of Mathematics written by Keith Devlin and published by Macmillan. This book was released on 2000-03-13 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking the reader on a wondrous journey through the invisible universe that surrounds us--a universe made visible by mathematics--Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, and allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers--all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture.