I hear a slight "twang" as well.
I have had people tell me that they think my bow is quiet as well but I never had anyone shoot it while I stood back and listened. I don't know anyone with my draw length
I think because the string is so close to your ear, there is no way youwill eliminate the sound of the string (or loop) leaving the release. I believe that isthe "twang" sound you are hearing.
Try shooting with your fingers once and see if you still hear it.
but I am always thinking they must be shooting a grenade launcher
Too Funny!!