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fauvel john (curatore); flood raymond (curatore); wilson robin j. (curatore) - music and mathematics
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Music and Mathematics from Pythagoras to Fractals

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 07/2006





Trama

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.




Sommario

- - Music and Mathematics through history
1 - Tuning and temperament: closing the spiral
2 - Musical cosmology: Kepler and his readers
- - The mathematics of musical sound
3 - The science of musical sound
4 - Faggot's fretful blunder
5 - Helmholtz: combinational tones and consonance
- - Mathematical structure in music
6 - Musical frieze patterns
7 - Ringing the changes: bells and mathematics
8 - Composing with numbers: sets, rows and magic squares
- - Recent Developments
9 - Microtones and projective planes
10 - Composing with fractals










Altre Informazioni

ISBN:

9780199298938

Condizione: Nuovo
Dimensioni: 246 x 11.7 x 189 mm Ø 404 gr
Formato: Brossura
Illustration Notes:Numerous halftones, line drawings and music examples
Pagine Arabe: 200


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