Download or read book The Geometry of Musical Rhythm written by Godfried T. Toussaint and published by CRC Press. This book was released on 2019-11-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Geometry of Musical Rhythm written by Godfried T. Toussaint and published by CRC Press. This book was released on 2016-04-19 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
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.
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.
Download or read book The Geometry of Musical Rhythm written by Godfried T. Toussaint and published by CRC Press. This book was released on 2019-11-25 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Mathematics of Musical Rhythm written by Jason Yust and published by Taylor & Francis. This book was released on 2024-09-06 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents original research applying mathematics to musical rhythm, with a focus on computational methods, theoretical approaches, analysis of rhythm in folk and global music traditions, syncopation, and maximal evenness. It honours the legacy of computer scientist and music theorist Godfried Toussaint. In addition to addressing a topic pioneered by Toussaint, application of mathematics to representation of musical rhythms, the volume also builds upon his interest in analysis of music traditions outside the European classical canon and the use of computational methods. Empirical contributions include a study of timing in Scandinavian polska performance showing that timing interacts with rhythmic features and a study of vocal melody rhythm in pre- and post-millennial popular music, showing significant differences in tempo, rhythmic density, and repetition in the two corpora. Theoretical contributions include a survey of timeline rhythms of African and African diasporic musics showing the prevalence of rhythms of a special type related to maximal evenness, an application of matrix algebra to rhythm and syncopation with analysis of clave rhythms, a ragtime corpus, and Balinese gong cycles, and a mathematical development of a new classification of smooth rhythms using a “shadow rhythm” algorithm suggested by Toussaint. The volume also includes an original composition by Tom Johnson and a personal recollection of Toussaint by Francisco Gómez-Martín. This volume will be a key resource for academics, researchers, and advanced students of music, musicology, music analyses, mathematical music theory, computational musicology, and music informatics. It was originally published as a special issue of the Journal of Mathematics and Music.
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.
Download or read book Applying Karnatic Rhythmical Techniques to Western Music written by Rafael Reina and published by Routledge. This book was released on 2016-03-03 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most classical musicians, whether in orchestral or ensemble situations, will have to face a piece by composers such as Ligeti, Messiaen, Varèse or Xenakis, while improvisers face music influenced by Dave Holland, Steve Coleman, Aka Moon, Weather Report, Irakere or elements from the Balkans, India, Africa or Cuba. Rafael Reina argues that today’s music demands a new approach to rhythmical training, a training that will provide musicians with the necessary tools to face, with accuracy, more varied and complex rhythmical concepts, while keeping the emotional content. Reina uses the architecture of the South Indian Karnatic rhythmical system to enhance and radically change the teaching of rhythmical solfege at a higher education level and demonstrates how this learning can influence the creation and interpretation of complex contemporary classical and jazz music. The book is designed for classical and jazz performers as well as creators, be they composers or improvisers, and is a clear and complete guide that will enable future solfege teachers and students to use these techniques and their methodology to greatly improve their rhythmical skills. An accompanying website of audio examples helps to explain each technique. For examples of composed and improvised pieces by students who have studied this book, as well as concerts by highly acclaimed karnatic musicians, please copy this link to your browser: http://www.contemporary-music-through-non-western-techniques.com/pages/1587-video-recordings
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.
Download or read book Music by the Numbers written by Eli Maor and published by Princeton University Press. This book was released on 2020-03-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.
Download or read book Music Science written by Marcelo Sampaio de Alencar and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the fundamentals of music science, followed by a discussion on the historical evolution of music. An introduction to the analysis of signals in time and frequency is presented, which includes sound and noise. Features and mathematical aspects of the sound are discussed, including vibration and timbre. The book presents a review of existing voice models and discusses the voice production, sound perception, music characteristics and acoustics, tempo, rhythm and harmony. Musical theory is presented, including staff, notes, alterations, keys and intervals, tones and associated frequencies and wavelengths. The creation of major and minor scales is emphasized, along with a study on consonance and dissonance, measure, metric, tempo markings, dynamics, modulation. The book also explains the chord formation, and discusses melody and composition. The book has four appendices, including an appendix on the basic differentiation and integration theorems, another with useful Fourier tables, and an appendix featuring the notes, their frequencies and wavelengths. The book also has a glossary of music terms.
Download or read book Mathematics and Music written by James S. Walker and published by CRC Press. This book was released on 2019-09-24 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Music: Composition, Perception, and Performance, Second Edition includes many new sections and more consistent expectations of a student’s experience. The new edition of this popular text is more accessible for students with limited musical backgrounds and only high school mathematics is required. The new edition includes more illustrations than the previous one and the added sections deal with the XronoMorph rhythm generator, musical composition, and analyzing personal performance. The text teaches the basics of reading music, explaining how various patterns in music can be described with mathematics, providing mathematical explanations for musical scales, harmony, and rhythm. The book gives students a deeper appreciation showing how music is informed by both its mathematical and aesthetic structures. Highlights of the Second Edition: Now updated for more consistent expectations of students’ backgrounds More accessible for students with limited musical backgrounds Full-color presentation Includes more thorough coverage of spectrograms for analyzing recorded music Provides a basic introduction to reading music Features new coverage of building and evaluating rhythms
Download or read book Rhythm and Transforms written by William Arthur Sethares and published by Springer Science & Business Media. This book was released on 2007-08-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rhythm and Transforms is a book that explores rhythm in music, its structure and how we perceive it. The book will be bought by engineers interested in acoustic signal processing as well as musicians, composers and computer scientists. Anyone interested in the scientific basis of music from psychologists to the designers of electronic musical instruments will be interested in this book.
Download or read book Computational Models of Rhythm and Meter written by Georg Boenn and published by Springer. This book was released on 2018-06-20 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest computational models of rhythm and meter that are based on number theory, combinatorics and pattern matching. Two computational models of rhythm and meter are evaluated: The first one explores a relatively new field in Mathematics, namely Combinatorics on Words, specifically Christoffel Words and the Burrows-Wheeler Transform, together with integer partitions. The second model uses filtered Farey Sequences in combination with specific weights that are assigned to inter-onset ratios. This work is assessed within the context of the current state of the art of tempo tracking and computational music transcription. Furthermore, the author discusses various representations of musical rhythm, which lead to the development of a new shorthand notation that will be useful for musicologists and composers. Computational Models of Rhythm and Meter also contains numerous investigations into the timing structures of human rhythm and metre perception carried out within the last decade. Our solution to the transcription problem has been tested using a wide range of musical styles, and in particular using two recordings of J.S. Bach's Goldberg Variations by Glenn Gould. The technology is capable of modelling musical rhythm and meter by using Farey Sequences, and by detecting duration classes in a windowed analysis, which also detects the underlying tempo. The outcomes represent human performances of music as accurate as possible within Western score notation.
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
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.
