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RoxfoxUPDATE: New, repeater-based version here:
http://www.youtube.com/watch?v=3g1e16hJik8 That redstone is so silly! It's like trying to conduct a grade school orchestra! I originally wanted to add the rest of the song, as well as a third instrument, but after testing this section out, I came to the conclusion that the redstone lag would be far too great if I kept it as one long automation. With a third instrument, it'd sound even more chaotic, too.
I could probably bypass some of that by adding levers for manually activating the next bar, or whatever, but I wanted a fully automatic music box - and now I have one! So I'll settle for this.