The Geometry Of Musical Rhythm
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The Geometry of Musical Rhythm
Author | : Godfried T. Toussaint |
Publsiher | : CRC Press |
Total Pages | : 357 |
Release | : 2016-04-19 |
Genre | : Mathematics |
ISBN | : 9781466512030 |
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The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly dispara
The Geometry of Musical Rhythm
Author | : Godfried T. Toussaint |
Publsiher | : CRC Press |
Total Pages | : 657 |
Release | : 2019-11-25 |
Genre | : Mathematics |
ISBN | : 9781351247757 |
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The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach to phylogenetic analysis and illustrated its application to the study of musical rhythm. The new edition retains all of this, while also adding 100 pages, 93 figures, 225 new references, and six new chapters covering topics such as meter and metric complexity, rhythmic grouping, expressive timbre and timing in rhythmic performance, and evolution phylogenetic analysis of ancient Greek paeonic rhythms. In addition, further context is provided to give the reader a fuller and richer insight into the historical connections between music and mathematics.
A Geometry of Music
Author | : Dmitri Tymoczko |
Publsiher | : OUP USA |
Total Pages | : 469 |
Release | : 2011-03-21 |
Genre | : Mathematics |
ISBN | : 9780195336672 |
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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 |
Publsiher | : Birkhäuser |
Total Pages | : 1310 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034881418 |
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With contributions by numerous experts
The Rhythmic Structure of Music
Author | : Grosvenor W. Cooper,Grosvenor Cooper,Leonard B. Meyer |
Publsiher | : University of Chicago Press |
Total Pages | : 232 |
Release | : 1963-04-15 |
Genre | : Music |
ISBN | : 0226115224 |
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In this book, the authors develop a theoretical framework based on a Gestalt approach, viewing rhythmic experience in terms of pattern perception or groupings. Musical examples of increasing complexity are used to provide training in the analysis, performance, and writing of rhythm.
Mathematics and Music
Author | : James S. Walker,Gary W. Don |
Publsiher | : CRC Press |
Total Pages | : 344 |
Release | : 2013-04-10 |
Genre | : Mathematics |
ISBN | : 9781439867099 |
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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.
Elements of Music
Author | : Jason Martineau |
Publsiher | : eBook Partnership |
Total Pages | : 64 |
Release | : 2021-05-20 |
Genre | : Music |
ISBN | : 9781912706082 |
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What is the secret code behind so many musical compositions? How do you substitute chords to create greater musical complexity? Why is music so good at playing with people's emotions? In this compact book, composer and pianist Jason Martineau presents the elements of music in clear and comprehensible terms. Packed with superb diagrams and a wealth of fascinating hard-to-come-by musical tips, this is a great primer, and an invaluable resource for novice and professional alike. "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 by the Numbers
Author | : Eli Maor |
Publsiher | : Princeton University Press |
Total Pages | : 176 |
Release | : 2020-03-10 |
Genre | : Mathematics |
ISBN | : 9780691202969 |
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How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.