40 Hz is tough. Nothing commercially available would touch that. If they could, it would be too big to be shipped.
You could make an entire wall as a series of 4' X 8' membrane panels. 1/4" panelling or hardboard or even 1/2" drywall could serve as the membrane if its furred out, even just an inch, from the center studs. Screws at the edges only, maybe some Silflex (marine adhesive silicone) to alleviate rattling. Caulk it airtight and lots of rigid fiberglass insulation (not touching the membrane) . Of course, you wouldn't want to hang pictures on that wall.
You could make an entire wall as a series of 4' X 8' membrane panels. 1/4" panelling or hardboard or even 1/2" drywall could serve as the membrane if its furred out, even just an inch, from the center studs. Screws at the edges only, maybe some Silflex (marine adhesive silicone) to alleviate rattling. Caulk it airtight and lots of rigid fiberglass insulation (not touching the membrane) . Of course, you wouldn't want to hang pictures on that wall.