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Author: Edith L. Somervell
Publisher:
ISBN:
Category : Design
Languages : en
Pages : 88
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Book Description
Author: Edith L. Somervell
Publisher:
ISBN:
Category : Design
Languages : en
Pages : 88
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Book Description
Author: Gareth E. Roberts
Publisher: JHU Press
ISBN: 1421419181
Category : Mathematics
Languages : en
Pages : 320
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Book Description
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.
Author: Edith L. Somervell
Publisher:
ISBN:
Category :
Languages : en
Pages : 67
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Book Description
Author: Godfried T. Toussaint
Publisher: CRC Press
ISBN: 135124776X
Category : Mathematics
Languages : en
Pages : 371
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Book Description
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.
Author: Godfried T. Toussaint
Publisher: CRC Press
ISBN: 1466512032
Category : Mathematics
Languages : en
Pages : 357
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Book Description
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
Author: Gavin Harrison
Publisher: Alfred Music Publishing
ISBN: 9781576236871
Category : Music
Languages : en
Pages : 76
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Book Description
Created for drumset players who find themselves in a creative rut, this book and audio package easily breaks down the mystery behind subdivisions, rhythmic modulation, rhythmic scales and beat displacement. The author makes the transition from mathematics to musicality with an easy and systematic approach.
Author: Rafael Reina
Publisher: Routledge
ISBN: 1317180135
Category : Music
Languages : en
Pages : 477
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Book Description
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
Author: William Arthur Sethares
Publisher: Springer Science & Business Media
ISBN: 1846286409
Category : Technology & Engineering
Languages : en
Pages : 341
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Bibliography
Languages : en
Pages : 660
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Book Description
Author: Julian Havil
Publisher: Princeton University Press
ISBN: 0691206139
Category : Art
Languages : en
Pages : 280
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Book Description
Ten amazing curves personally selected by one of today's most important math writers Curves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of one curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre Bézier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves—and now you can share in this adventure. Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling.
