Music and Mathematics: from Pythagoras to Fractals - Tapa dura

The writing throughout is wonderfully elegant and clear, so when the mathematical symbolism defeated me I could still follow the gist of the argument. (BBC Music Magazine)

This is a lucid and stimulating introduction to a many-sided topic, leavened with amusing anecdotes and occasional donnish humour. (BBC Music Magazine)

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.