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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.
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.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 288 |
| ISBN-13: | 9789811284366 |
| ISBN-10: | 9811284369 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Franck Jedrzejewski |
| Hersteller: | World Scientific Publishing Company |
| Maße: | 235 x 157 x 20 mm |
| Von/Mit: | Franck Jedrzejewski |
| Erscheinungsdatum: | 10.03.2024 |
| Gewicht: | 0,57 kg |
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 288 |
| ISBN-13: | 9789811284366 |
| ISBN-10: | 9811284369 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Franck Jedrzejewski |
| Hersteller: | World Scientific Publishing Company |
| Maße: | 235 x 157 x 20 mm |
| Von/Mit: | Franck Jedrzejewski |
| Erscheinungsdatum: | 10.03.2024 |
| Gewicht: | 0,57 kg |
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