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.
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.