Music and Mathematics
From Pythagoras to Fractals
(Sprache: Englisch)
From Ancient Greek times, music has been seen as a mathematical art, and this relationship has fascinated generations. This paperback edition of diverse, comprehensive and fully-illustrated papers, authored by leading scholars, links the two fields in a...
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From Ancient Greek times, music has been seen as a mathematical art, and this relationship has fascinated generations. This paperback edition of diverse, comprehensive and fully-illustrated papers, authored by leading scholars, links the two fields in a lucid manner that is suitable for students of each subject as well as the general reader.
Klappentext zu „Music and Mathematics “
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, authorized 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.Inhaltsverzeichnis zu „Music and Mathematics “
- Preface
- Music and mathematics: an overview
- Part I: Music and mathematics through history
- 1: Neil Bibby: Tuning and temperament: closing the spiral
- 2: J.V. Field: Musical cosmology: Kepler and his readers
- Part II: The mathematics of musical sound
- 3: Charles Taylor: The science of musical sound
- 4: Ian Stewart: Faggot's fretful blunder
- 5: David Fowler: Helmholtz: combinational tones and consonance
- Part III: Mathematical structure in music
- 6: Wilfrid Hodges: Musical frieze patterns
- 7: Dermot Roaf and Arthur White: Ringing the changes: bells and mathematics
- 8: Jonathan Cross: Composing with numbers: sets, rows and magic squares
- Part IV: The composer speaks
- 9: Carlton Gamer and Robin Wilson: Microtones and projective planes
- 10: Robert Sherlaw Johnson: Composing with fractals
- Notes on contributors
- Notes, references, and further reading
- Acknowledgements
- Index
Bibliographische Angaben
- Autoren: John (Formerly of the Open University, UK) Fauvel , Raymond (Department for Continuing Education, Oxford University) Flood , Robin (Keble College, Oxford University) Wilson
- 2006, 200 Seiten, mit Abbildungen, Maße: 18,9 x 24,6 cm, Kartoniert (TB), Englisch
- Herausgegeben: John Fauvel, Raymond Flood, Robin Wilson
- Verlag: Oxford University Press
- ISBN-10: 0199298939
- ISBN-13: 9780199298938
- Erscheinungsdatum: 06.07.2006
Sprache:
Englisch
Pressezitat
An attractive volume that covers almost al of the important aspects of the interplay between mathematics and music. Ehrhard Behrends, The Mathematical Intelligencer, Vol 28, 3
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