Recoil is momentum game. Mass of the bullet x velocity = mass of the firearm x velocity. You can then use the velocity of the firearm to calculate energy. The energy is what you feel,since that's a square of velocity it's not a linear change with weight. I'm going to ball park that a 4 ounce (18%) increase in weight, will probably be about a 10% reduction in recoil.I is a idiot. Firearm weight changes with a constant bullet weight and velocity will have a linear change on recoil. My mental math sucks at times. What that means to your hand is anyone's guess.
Weight changes are relative, 12 to 16 ounces will be a major improvement, 44 to 48 ounces will be negligible.
edited: so apparently there's this thing called google and you can find this on there
http://www.handloads.com/calc/recoil.asp