Dave Benson (University of Aberdeen)

Music

A Mathematical Offering

• Broschiertes Buch

Produktbeschreibung

Since the time of the Ancient Greeks, much has been speculated about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 426
• Erscheinungstermin: 23. Dezember 2014
• Englisch
• Abmessung: 244mm x 170mm x 23mm
• Gewicht: 860g
• ISBN-13: 9780521619998
• ISBN-10: 0521619998
• Artikelnr.: 20911079

Autorenporträt

David J. Benson is a 6th Century Professor in the Department of Mathematical Sciences at the University of Aberdeen.

Inhaltsangabe

Preface; Introduction; Acknowledgements; 1. Waves and harmonics; 2. Fourier theory; 3. A mathematician's guide to the orchestra; 4. Consonance and dissonance; 5. Scales and temperaments: the fivefold way; 6. More scales and temperaments; 7. Digital music; 8. Synthesis; 9. Symmetry in music; Appendix A. Bessel functions; Appendix B. Equal tempered scales; Appendix C. Frequency and MIDI chart; Appendix D. Intervals; Appendix E. Just, equal and meantone scales compared; Appendix F. Music theory; Appendix G. Recordings; Bibliography; Index.

Rezensionen

'... informative and well-written ... Not only does this book cover basic material thoroughly, it also presents much of interest to those already familiar with the area of math and music. And the author provides a wealth of citations to the often scattered literature on the subject.' Zentralblatt MATH