According to Film Music Reporter, Graeme Revell has been tapped to score Gotham. Revell has previously worked with Gotham pilot director Danny Cannon on the first season of CSI: Miami, as well as movies like Phoenix and Goal! The Dream Begins.
Graeme Revell's other movie credits include Daredevil, Chronicles of Riddick, Pineapple Express, Harsh Times, The Crow, Shark Night 3D, and Sin City.
One thing that's stuck out to me (in a good way) in all of the Gotham video promos that have been released so far is the music. I'm not sure if this is Revell's work, but you can give it a listen below:
SOURCE: Film Music Reporter
