Thanks guys for your contribution. Here is my update.
My living room on the middle floor is sharing a wall with my neighbor. The shared wall is not insulated. I made a hole into the wall and realized that the studs used for constructing the wall is not touching the firewall that was used to separate each unit. I felt this was like a staggered wall. Therefore if the studs vibrates, it won't transfer sound easily to the other side of the wall. Correct me if am wrong. Anyways, I decided to carry out my sound check today. I called my neighbor up to let her know that I will be doing my sound check and she should let me know when the sound becomes unbearable. I moved my speakers closer to the wall. She asked me to crank the volume up which I did, then it got to a point where she told me to stop. At this point, she said that she could only hear it a little bit which she doesnt mind. Funny enough, her stopping point was too loud for me. She was also surprised that it took that much volume to vibrate her unit. She responded," you really had a well constructed wall in your unit". I took it has a compliment.
But anyways, I still planning on putting my green wall to that share wall, then I can rest assure that soundproofing will even get better. I have posted some pictures of my basement in this thread. I have some question that I will need someone to help me out. My ceiling is not that high, so, should I use s mixture of 1/2" drywall + gg + 5/8" drywall? That way, I don't really compromise the height of the room. Also, the studs facing my neighbors on both side is not touching the wall, does any know if I still need to stagger these four walls even though they not touching the other wall?
How can I work around the door area because I know that using 2 5/8" drywall on this area will consume the door? how can I make things work?
On the way, am using 2 5/8" drywall with green glue, on the ceiling (due to the height restriction) am thinking of using 1/2 + gg + 5/8 or 1/2 + gg+ 1/12:
Also, I will using roxul insulation. As you can see, I have alot of can lights in there. I was just thinking if I can just build a long box for each roll of can instead of building it individually. Please refer to my diagram.