When mathematicians call a solution "elegant," they're pointing toward something like the experience of hearing Bach's Toccata and Fugue in D Minor, probably the best-known of his non-sacred compositions. It never gets old, and it never loses the sense that each note is precisely the one to follow the note before.
For the music geeks among you, that's a custom touring version of the Allen Digital Organ, designed to Fox's specifications. Watching Fox's technical virtuosity-- floating between one keyboard and another, changing stops on the fly (at one point he switches a setting with a flick of the tip of his thumb while continuing to play with the fingers on that hand)--is almost as amazing as listening to the music.
Douglas Adams was right, by the way: Bach--or somebody--had to have been cheating to produce so much amazing music in one lifetime.