I am an amateur musician and infrequent composer. Lately I've played my old beat up alto sax (literally held together with rubber bands, twisty ties, paper and chewing gum) in the SSCC Community Band and the SSCC Jazz Ensemble, and I am occasionally invited to play the piano at SSCC events where half of what I play is improvisational.

I have created electronic versions of three of my compositions, available below.

Scherzo for Piano was written in the summer of 1986. A scherzo is a fast movement in 3/4 time, normally as part of a sonata or a symphony. The scherzo form was pioneered by Ludwig van Beethoven as an alternative to the more quaint and normally slower minuet form. Click here for an electronic version using MIDI instruments: Opus 1.

The Joy to the World Variations was written and performed several times in 1999. This is a quintet for flute, clarinet, alto sax, horn and double bass. As the name suggests, the piece uses the familiar Christmas carol as a basis for the seven variations. Click here for an electronic version : Opus 2.

My latest work is Elegy for the Victims of Terrorism, written for concert band. I will write more about this shortly, but here is the link to an electronic version: Opus 4.


Music & Math

In the spring quarter of 2003 I took a sabbatical to work on writing a textbook, The Mathematics of Music. My goal is to have enough material to run a course by the same name by 2005.

Mathematical relationships abound in music. Below are a few I've explored in some of my classes. Now that I've done some research and calculations I realize that the first link oversimplifies concord and discord, but the graphs are interesting, nonetheless.

Mathematical analysis of musical note combinations

Math and music discussion from the Spring, 1999 Math 290 class