Paul Thompson's side scored first through Russ Cowley before Ross Dalgleish equalised at the end of the first period.
Mark Patterson put Edinburgh ahead but Blaze hit back through Curtis Huppe and on 35.31, they took the lead through Danny Stewart.
Jon Weaver and Neal Martin scored twice in the third period to give Blaze a 5-2 victory in front of a crowd of 875.
On Sunday, Blaze are in Knock Out Cup action when they take on Sheffield Steelers at the Sky Dome at 6pm.