Originally Posted by acyate
I share a common wall with another tenant in an apartment and the sound transmission is very poor.
I realize what acytate meant but his wording implies he might want to listen to the neighbors;
the sound transmission is very poor
I think he meant the sound isolation or sound insulation is very poor. Having poor sound transmission is what he is seeking, I think.
as to the sound transmitted via the floor; not much you can with that. The floor joists are common members so you have a direct mechanical link with the neighbor you cannot sever. Same with ceiling.
Rugs and carpet are about the only thing available to help with the floor. If the ceiling is a drop ceiling, that can be insulated to reduce sound transmission but if a hard ceiling, not much you can do there.
the staggering studs are for a common wall so you do not have the rock on each side connected to the same stud, which provides a direct solid connection between the two sides. Since you are building a separated wall, the gain would be minimal if you are using rock on each side but worthless if using only one sided wall.
one additional method you can employ not yet mentioned is the use of "hat channel" It is a material installed on the studs and the rock attached to it. It reduces the contact of the rock to the wall and as such, aids in sound isolation.