Display of musical structure

I’m working on a project that involves the display of as much of the structure of a piece of music as possible. I remember the Music Animation Machine from one of your lectures, but I’m wondering what other work has been done on the display of musical structure.

For example:

* beats and rhythm. (I imagine drummers use some sort of notation for these things, but I’m haven’t looked into this yet)

* musical phrasing – a lot of music has both measures and phrases. A bar of music might repeat eight times before something changes in the music. I’m wondering if anyone knows of representations that have been done before — I’m experimenting with some new designs, but I would love to see what others have done.

* visual representation of frequencies and amplitudes — again, this would help to show the underlying structure.

* what about represenations of the “jagginess” versus the “softness” of the sounds within a piece of music?

Obviously, the most basic form of representation would be sheet music. But I’m interested in representing something that has already been composed and recorded.

This is both a visualization problem and a data graphic problem, because ultimately I’d like to make a computer program which shows these representations for pieces of recorded music.

I’d love any thoughts you have on this.