Music and Mathematics
from Pythagoras to Fractals
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21 251 Ft
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Product details:
- Publisher OUP Oxford
- Date of Publication 6 July 2006
- ISBN 9780199298938
- Binding Paperback
- No. of pages200 pages
- Size 246x189x11 mm
- Weight 404 g
- Language English
- Illustrations Numerous halftones, line drawings and music examples 60
Categories
Short description:
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.
MoreLong description:
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.
The writing throughout is wonderfully elegant and clear, so when the mathematical symbolism defeated me I could still follow the gist of the argument.
Table of Contents:
Preface
Music and Mathematics: an overview
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
Recent Developments
Microtones and projective planes
Composing with fractals
Notes on contributors
Notes, references, and further reading
Index
