作曲者 | John Fauvel / Raymond Flood / Robin Wilson |
タイトル | Music and Mathematics |
サブタイトル | From Pythagoras to Fractals |
出版社 | Oxford University Press (UK) |
楽器編成 | Book |
品番 | 9780199298938 |
形状 | 200 ページ・24.6 x 18.9 cm・404 g・ソフトカバー |
出版番号 | 9780199298938 |
ISBN | 9780199298938 |
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.
Preface, Susan Wollenberg: Music and mathematics: an overview, Part I: Music and mathematics through history, 1 Neil Bibby: Tuning and temperament: closing the spiral, 2 J.V. Field: Musical cosmology: Kepler and his readers, Part II: The mathematics of musical sound, 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: Mathematical structure in music, 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: The composer speaks, 9 Carlton Gamer & Robin Wilson: Microtones and projective planes, 10 Robert Sherlaw Johnson: Composing with fractals, Notes on contributors, Notes, references, and further reading, Acknowledgements, Index