I have a plan at this point that will be put into action when I do some other interior stuff in the shop this winter- we pulled up a lot of carpeting in the house and I saved all of the foam underlayment, so I'll line the walls in the "music area" with that and do another layer of drywall or similar over that, possibly with some carpets hung on it as well. The shop also has a new roof with more insulation now, which seems to cut the exterior noise a bit. The new music area location will also be further from any windows.
No complaints from the neighbors lately but more quieting can't hurt.
Just be mindful of the fire hazard potentially created by hanging/covering walls and things with materials that burn well. The station nightclub fire in RI is a recent example and for us older people that know history the coconut grove fire. Both changed the fire codes.
A lot of recording studios use walls built using two sets of offset studs so that the drywall on one side is not physically connected to the drywall on the other side. That way sound hits one side and is absorbed by fiberglass insulation but not transmitted through the wall.
In reply to ¯\_(ツ)_/¯ :
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