This fantastic video by Vi Hart shows you what the math of music looks like in a visual representation — or, should that be "what visual frieze patterns sound like when turned into music"?
Frieze patterns are symmetrical repeating patterns that show up in architecture, art, and even our model of DNA. According to Hart, this video is:
A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.
Very cool to watch! Here's the video link.
Thanks, Peter Newbury!