Music and Mathematics From Pythagoras to Fractals
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Description: 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.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $45.95
Copyright year: 2006
Publisher: Oxford University Press, Incorporated
Publication date: 9/14/2006
Size: 7.25" wide x 9.50" long x 0.50" tall
|Introduction Mathematics and Music: An Overview Susan Wollenberg|
|Tuning and Temperament: Closing the Spiral|
|Musical Cosmology: Kepler and His Readers|
|The Mathematics of Musical Sound|
|The Science of Musical Sound|
|Faggot's Fretful Blunder|
|Helmholtz: Combinational Tones and Consonance|
|Mathematical Structure in Music|
|Musical Frieze Patterns|
|Ringing the Changes: Bells and Mathematics|
|Composing with Numbers: Sets, Rows and Magic Squares|
|Microtones and Projective Planes|
|Composing with Fractals|