DrAngler, on my DonnyFL Shogun, which is mounted to probably one of the loudest barking Airguns out there(hatsan hercules Bully in 30 cal), I tried all sorts of materials from styrofoam wrap that plumbers wrap around their ABS pipes prior to pouring a slab, thicker felts, and one other I can’t remember. What finally worked the best is I had an old neoprene waist wrap from the sporting goods store, the one you’re suppose to wrap around your belly to sweat the inches off, lol. The neoprene in that is like 1/8” thick. So I used that around the inner core, and that has muffled that bark enough to satisfy my quest to quiet down this Bully. It’s still far far away from any type of “mouse fart quiet” that folks talk about, but I know it doesn’t bother my neighbors, so that’s ok with me.