Sheet music and midi available here:
http://www.mediafire.com/?d7rx5i7gn7g24
The software is called Synthesia, download for free here:
http://synthesiagame.com/

Composed n 2006 by Hans Zimmer, track #1 on the official soundtrack album. This piece is a collection of themes composed for Jack Sparrow, arranged in concert suite format. A notable aspect are the dance rhythms used in the left hand throughout the piece, alternating the metre between a 6/8 feel and a 3/4 feel.