I'm not sure about sound waves in a pressurized room, and I don't listen much in closed rooms:
just to say, if you somehow let the air out, you will be making a source for sound to get both out and in. You might want some methods to curtail the sound, or direction of the sound.
Rooms and Spaces do get pressurized, and fans can only push air if they can pull the same amount, and they take the air they push/pull where it is easiest. If you have tube amps making heat, it's nice if that heat can get out, above them rather than over you, without letting sound in or out (if problematic)..
When you run your car's AC with the windows closed, at first, you might lower a back window so it can push the hot air out, then close them all.
Designing HVAC systems for Office Space, for each space, we need a changeover of ___ cubic feet/minute (heat or cooling) so a small office, we 'undercut' the door 1", that's enough. Sound getting out that slot near the floor is not too problematic in an office space, but at home, you know your volume levels ....
A larger space, a grille in the door, or return air grill in the ceiling, sized to remove the amount of air we want to push in. More air/more noise.
Executive offices, we build the walls above the ceiling all the way up to the floor above, then, to avoid telephone calls being heard in adjacent rooms, we place an acoustic boot/collar above the return air grille, acoustically lined, and you need a hole thru the wall you built above the ceiling, for the air to keep flowing. We offset the locations, so air can flow but make it harder for the sound to travel/reflect, air doesn't care about direction, just flow, sound can be diminished in/out by methods.
Some doors have acoustic drop seals, or air-flow drop seals, that lift so the door can open, and automatically drop when the door closes.
Spaces with odors, we design negative pressure rooms; spaces like clean rooms, we design positive pressure rooms, so when you open a door, air goes out or in by design, just reinforcing the fact that spaces do get pressurized, some, or more than that.