Dave Benson: Music | Taschenbuch

Cover: 9780521619998 | Music | A Mathematical Offering | Dave Benson | Taschenbuch | Englisch

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Sprache: Englisch

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Beschreibung

Since the time of the Ancient Greeks, much has been written 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. The story is long as well as broad and involves physics, biology, psychoacoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres, digital music, and many things in between.

Über den Autor

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

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2014
Genre:	Musik
Rubrik:	Kunst & Musik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780521619998
ISBN-10:	0521619998
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Benson, Dave
Hersteller:	Cambridge University Press
Maße:	244 x 170 x 23 mm
Von/Mit:	Dave Benson
Erscheinungsdatum:	23.12.2014
Gewicht:	0,731 kg

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