Looking at adding a .30 caliber magnum.....just because.

From the folks who have experience with both, about how much difference in felt recoil do you see in a .300 Winny and the .300 Ultra Mag?

Lets say we're shooting 180gr. factory load in each. I'm very comfortable shooting rifles in the 06' and 7mm. Rem. Mag. class. In fact I shoot them all day and enjoy it. I'm expecting a noticable increase in shoulder thump with either.....just wondering about how much difference to expect between the 2 .30 cal magnums.