When you live in a small space you have to adapt that space to meet the needs of the individual residents. The townhouse that I’m renovating has a music room in the basement area. Unfortunately, the master bedroom is directly above that space. It is impossible to make a normal room completely soundproof, but there are things that you can do to reduce extraneous noise.
One solution is to use a mineral wool insulation between the rooms. Rockwool is a brand of such insulation. This insulation is very dense, and is more sound deadening than other types of insulation. In this project I have added Rockwool in the basement ceiling, and also in some of the interior walls. See the photos below.