I'm with George.
As I understand it, the brace height does a couple of thing. First, it can quiet (or quite, your preference) the bow down by reducing the amount of string hitting the limbs on release. Second, it can take advantage of the archer's paradox by fine tuning the point where the arrow leaves the string. Since the arrow bends when you release the string, you can set up your brace height to allow the arrow to bend around the riser with little to no contact. There may be some noise resulting from that if your brace height is incorrect.
You can also get into harmonics and the amount of energy left in the bow. That can get convoluted and theoretical so I think I will pass on that for this thread.