That's probably not going to do much. It's a game of density and decoupling. The walls themselves are going to transfer quite a bit unless they're decoupled from each other, staggered studs or z-channels.
You might have some success reducing the volume with diffusers to spread the sound around. But good sound proofing is early in design.
Still, mitigation, look into Roxul or DIY 703 fiberglass panels. I have some resources I can dig up.