(Video Link)
Brooklyn-based artist Ranjit Bhatnagar works with sound installations and homemade instruments. He created this music box guided by a Möbius strip. It'd be perfect for playing "The Song That Never Ends"! Bhatnagar made the music box as part of a project to create a musical instrument every day for a month.
Artist's Website via Popular Science
The second half of the song is the same as the first half with the scale inverted- the high notes become the low notes and vice versa.
The real art here is making both halves sound good.
Sorry to be a spoil sport.
Jill
I didn't even think of trying a mobius strip, it seems like it would reverse the notes from top to bottom and beginning to end at various points.