Music and Mathematics
From Pythagoras to Fractals
John Fauvel, Raymond Flood, Robin Wilson
Résumé
From Ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This collection of wide ranging, comprehensive and fully-illustrated papers, authored by leading scholars, presents the link between these two subjects in a lucid manner that is suitable for students of both subjects, as well as the general reader with an interest in music. Physical, theoretical, physiological, acoustic, compositional, and analytical relationships between mathematics and music are unfolded and explored with focus on tuning and temperament, the mathematics of sound, bell-ringing and modern compositional techniques.
Readership: Suitable for students of both music and mathematics, as well as the general reader with an interest in music.
L'auteur - John Fauvel
John Fauvel, Formerly of the Open University, UK
L'auteur - Raymond Flood
Raymond Flood, Department for Continuing Education, Oxford University
L'auteur - Robin Wilson
Robin Wilson, Keble College, Oxford University
Sommaire
- Music and mathematics through history
- Tuning and temperament: closing the spiral
- Musical cosmology: Kepler and his readers
- The mathematics of musical sound
- The science of musical sound
- Faggot's fretful blunder
- Helmholtz: combinational tones and consonance
- Mathematical structure in music
- Musical frieze patterns
- Ringing the changes: bells and mathematics
- Composing with numbers: sets, rows and magic squares
- The composer speaks
- Microtones and projective planes
- Composing with fractals
- Notes on contributors
- Notes, references, and further reading
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Oxford University Press |
| Auteur(s) | John Fauvel, Raymond Flood, Robin Wilson |
| Parution | 01/01/2006 |
| Nb. de pages | 190 |
| Format | 19 x 25 |
| Couverture | Broché |
| Poids | 460g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780199298938 |
| ISBN13 | 978-0-19-929893-8 |
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