Buch, Englisch, 200 Seiten, Format (B × H): 189 mm x 246 mm, Gewicht: 398 g
From Pythagoras to Fractals
Buch, Englisch, 200 Seiten, Format (B × H): 189 mm x 246 mm, Gewicht: 398 g
ISBN: 978-0-19-929893-8
Verlag: Oxford University Press(UK)
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.
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Human- und Sozialwissenschaften
- Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
- Geisteswissenschaften Geschichtswissenschaft Geschichtswissenschaft Allgemein
- Geisteswissenschaften Musikwissenschaft Musikwissenschaft Allgemein
- Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
Weitere Infos & Material
- 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
