From Ancient Greek times music has been seen as a mathematical art & the relationship between mathematics & music has fascinated generations. This collection of wide ranging comprehensive & 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 & analytical relationships between mathematics & music are unfolded & explored with focus on tuning & temperament the mathematics of sound bell-ringing & modern compositional techniques.