How Music and Mathematics Relate

Table of contents :

1 Overtones—Symphony in a Single Note
2 Timbre—Why Each Instrument Sounds Different
3 Pitch and Auditory Illusions
4 How Scales Are Constructed
5 How Scale Tunings and Composition Coevolved
6 Dissonance and Piano Tuning

7 Rhythm—From Numbers to Patterns
8 Transformations and Symmetry
9 Self-Reference from Bach to Gödel
10 Composing with Math—Classical to Avant-Garde
11 The Digital Delivery of Music
12 Math, Music, and the Mind

How Music and Mathematics Relate

Author(s): David Kung

Publisher: n/a, Year: 2013

ISBN: 1598039210,9781598039214