For the owner of a 360f -- or any other guitar which would benefit from a stronger horizontal visual -- we're happy to offer our long harp tailpiece.  With the graceful lines of the classic harp tailpieces, it maintains a simplicity and elegance all its own. Made of high-strength stainless steel, this tailpiece is a drop-in fit using the original bracket from your "R" tailpiece. No drilling, no tools, no dinging up your guitar.
 
Good looks, easy installation, profanity-free string changes, and no fragmentational tendencies. What's not to like?