Tkka ctr?

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Close up
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I was incorrect I found the invoice for the rings they are Seekins Low... If you look at the link I posted earlier Glen Seekins gives a formula for determining the rings needed for a given objective lens size. 56mm objective = medium rings
 
I have a Tikka T3 Varmint .308 (should have same dimensions as the new CTR) and here is what I have tried with rings.

EGW 0 MOA base, Bushnell 2.5-16x50, Seekins .82" low 30mm rings: This setup cleared just fine but did not leave a lot of extra room for scope caps. The butler creek caps would have fit but thicker caps like the Aadland would have been close.

Mountain Tactical 20 MOA base, Nightforce 3.5-15x50, Seekins .82" low 30mm rings: The scope cleared the barrel but just barely. No room for any scope caps and was too close for comfort.

Mountain Tactical 20 MOA base, Nightforce 3.5-15x50, Seekins .87" medium rings: Fits great with room for Aadland caps which are about .090" thick.

If you are using a 20-30 MOA base with a 56mm objective you should probably consider the Seekins .92" medium-high rings, especially if you want to run thicker caps like Aadlands.