Albion College
Mathematics and Computer Science
Frequency modulation and synthesizing music
David Austin


Department of Mathematics

Grand Valley State University

Music and mathematics are deeply expressive languages that reveal their mysteries through both pattern and serendipity. This talk aims to expand the connection by demonstrating some elegant mathematical ideas that explain how music may be represented and even created by a computer.

The figure above shows the waveform created when the G string on a guitar is picked. We'll use this as a starting point to understanding the nature of sound and what it takes to recreate a sound like this.

I intend for this talk to be accessible to undergraduates. In fact, I hope to make the ideas, which include topics such as Fourier series and Bessel functions, very concrete through the use of pictures and sound files.
All are welcome!
Palenske 227
April 15, 2010