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Way too many variables. Are you shooting 9mm, 45, .338 Lapua, .22lr? Are you shooting from a 9 in barrel, a 16 in, a three inch? Are you using a muffler? What brand and type? What is your range to the gun shot? Is the bullet supersonic or subsonic? Does the roofers hammer make a sound that falls inside the wide range of noises? There is no way to make an accurate profile for gun shot noise.
That’s just it. Your mil sitting in a bank is not their profit yet.