It has often been said that math and music have a distinct relationship. Over the years, I have experimented with this relationship to produce musical algorithms that utilize various mathematics. The musical excerpts below are based on different types of mathematical formulae, which illustrate this sonic relationship.
This is one of my favorites. It could be used as a Mission Impossible or The Untouchables theme. The algorithm is based on fractal geometry - a Mandelbrot fractal set.
This could be very good background music for a video game. The algorithm is based on a 2nd order Markovian probability chain.
A good example of keyboard double octaves played in the style of Chopin or Liszt. The algorithm is based on fractal geometry utilizing Julia sets.
Another good example of intro music that could be used in a multimedia presentation or web page. The algorithm is based on a random distribution function, which generates unique permutations and combinations.
An interesting computer generated music composition. As a composer, I am always fascinated by unusual variations that a computer can produce. The algorithm is based on fractal geometry where array integers generate 1/f fractional noise.
