Mathematics, Sound, Music

Columbia University Computer Music Center

The interface above shows how it is possible to weave the worlds of mathematics and music together to create a fascinating playground for the mind. Using the famous chaotic "population equation" - y = rx(1-x) - it is possible to realize the output as musical sound. This demonstrates the potential of 'data auralization' for opening new dimensions in computer-aided mathematical investigation, as well as showing a dramatic new kind of tool for composers seeking to build new musical worlds.

The bridging of these two powerfully intuitive realms of creative human knowledge can also serve as a wonderful pedagogical platform, making it possible for education to be an exciting and enthralling experience.

To use the interface, enter R values between 1.0 and 4.0. The chaotic region occurs at R values between 3 and 4. The musical score produced from the graph can be sent to the RTcmix software synthesis language for realization into sound. Parameters dealing with the mapping of graph points to musical notes can be found under the "additional parameters" menu.

The software used for this was written by Brad Garton at the Columbia CMC. It is in the public domain.