Franck Jedrzejewski's Books

Looking at Numbers

By: Tom Johnson,Franck Jedrzejewski

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Galileo Galilei said he was “reading the book of nature” as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops that synchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding our relationship to nature. But when we do so in a technical, professional way, we tend to overlook their basic attributes, the things we can understand by simply “looking at numbers.” Tom Johnson is a composer who uses logic and mathematical models, such as combinatorics of numbers, in his music. The patterns he finds while “looking at numbers” can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematical meaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski.

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Page Count

126

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034805543

ISBN 13

9783034805544

A Compendium Of Musical Mathematics

By: Franck Jedrzejewski

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A Compendium Of Musical Mathematics

By: Franck Jedrzejewski

The purpose of this book is to provide a concise introduction to the mathematical theory of music, opening each chapter to the most recent research. Despite the complexity of some sections, the book can be read by a large audience. Many examples illustrate the concepts introduced. The book is divided into 9 chapters.In the first chapter, we tackle the question of the classification of chords and scales. Chapter 2 is a mathematical presentation of David Lewin's Generalized Interval Systems. Chapter 3 offers a new theory of diatonicity in equal-tempered universes. Chapter 4 presents the Neo-Riemannian theories based on the work of David Lewin, Richard Cohn and Henry Klumpenhouwer. Chapter 5 is devoted to the application of word combinatorics to music. Chapter 6 studies the rhythmic canons and the tessellation of the line. Chapter 7 is devoted to serial knots. Chapter 8 presents combinatorial designs and their applications to music. The last chapter, chapter 9, is dedicated to the study of tuning systems.

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Page Count

286

Publisher

World Scientific

Published Date

ISBN 10

9811284385

ISBN 13

9789811284380

Looking at Numbers

By: Tom Johnson,Franck Jedrzejewski

Write a review Read reviews Take a Quiz Solve Book Puzzle

Looking at Numbers

By: Tom Johnson,Franck Jedrzejewski

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

126

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034805543

ISBN 13

9783034805544

A Compendium Of Musical Mathematics

By: Franck Jedrzejewski

Write a review Read reviews Take a Quiz Solve Book Puzzle

A Compendium Of Musical Mathematics

By: Franck Jedrzejewski

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

286

Publisher

World Scientific

Published Date

ISBN 10

9811284385

ISBN 13

9789811284380

Book's by Franck Jedrzejewski

Looking at Numbers

Looking at Numbers

A Compendium Of Musical Mathematics

A Compendium Of Musical Mathematics

Looking at Numbers

Looking at Numbers

A Compendium Of Musical Mathematics

A Compendium Of Musical Mathematics

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