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Zusatztext An attractive volume that covers almost al of the important aspects of the interplay between mathematics and music. Klappentext 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. Zusammenfassung From Ancient Greek times, music has been seen as a mathematical art, and this relationship has fascinated generations. This new in paperback edition of diverse, comprehensive and fully-illustrated papers, authored by leading scholars, links the two fields in a lucid manner that is suitable for students of each subject as well as the general reader. Inhaltsverzeichnis Preface Introduction Part I 1: Neil Bibby: Tuning and temperament: closing the spiral 2: J.V. Field: Musical cosmology: Kepler and his readers Part II 3: Charles Taylor: The science of musical sound 4: Ian Stewart: Faggot's fretful blunder 5: David Fowler: Helmholtz: combinational tones and consonance Part III 6: Wilfrid Hodges: Musical frieze patterns 7: Dermot Roaf and Arthur White: Ringing the changes: bells and mathematics 8: Jonathan Cross: Composing with numbers: sets, rows and magic squares Part IV 9: Carlton Gamer and Robin Wilson: Microtones and projective planes 10: Robert Sherlaw Johnson: Composing with fractals Notes on contributors Notes, references, and further reading Index ...
