Compendium Of Musical Mathematics, A (eBook)

Jedrzejewski Franck Jedrzejewski (Autor)

eBook Download: EPUB

2024
288 Seiten
World Scientific Publishing Company (Verlag)
978-981-12-8437-3 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 28.2.2024
• Sprache: englisch
• Themenwelt: Kunst / Musik / Theater ► Musik ► Musiktheorie / Musiklehre
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 981-12-8437-7 / 9811284377
• ISBN-13: 978-981-12-8437-3 / 9789811284373