@Everyone who asked: Needlesstosay009 practically already explained this. Anyways, Supercell is a group. They consist of people who compose/write songs, illustrate/etc, and other things that make up PVs. They made their first debut with using Hatsune Miku as "the vocalist" and they created Vocaloid songs such as "World is Mine". And as Needless had said, they have moved up in the business and are now producing music for other [non-Vocaloid] artists.
You probably figured it out already, but... This version is the "remastered album version". The one you were probably thinking of was the original Nico Nico Douga upload. Both versions do sound different, and yes, this is how it sounds on the soundtrack. :)
The one Ryo created is this song. The one that Miku sings in concerts is the version that the creators of the concert Miku edited. Hope this makes sense somehow.
@AgainstDeleteOfVideo Miku was made from the people who made Vocaloid. Supercell was as Needlesstosay009 said, a doujin band who happens to take a liking to Miku's voice from vocaloid and made some musics from her.
Song sounds different from when it was first uploaded. Is this the re-mastered version made for the album's release? Somebody please answer my question.