Music and Mathematics

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 history1 - Tuning and temperament: closing the spiral2 - Musical cosmology: Kepler and his readers- - The mathematics of musical sound3 - The science of musical sound4 - Faggot's fretful blunder5 - Helmholtz: combinational tones and consonance- - Mathematical structure in music6 - Musical frieze patterns7 - Ringing the changes: bells and mathematics8 - Composing with numbers: sets, rows and magic squares- - Recent Developments9 - Microtones and projective planes10 - Composing with fractals

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780199298938
• 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