I have Burris bases and rings on both my 270 WBY MAG and 300 Ultra. My 270 does not have a scope on it, however, seriously considering carrying it for the upcoming bear season. I am looking at taking the scope off my 300 and putting it on the 270. I know the bases are rifle specific, however, the dovetail aspect of the rings should be the same correct? They are dovetail in the front and the screw in the back. I don't want to undo the rings from the scope. I know it would be easier to buy a new scope, however, my extra money is tied up in my current build. Any thoughts.