My CTR 20" on a diet (4-16x50 Trijicon Credo 25.5oz with UM rings, removed the CTR rail)
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Weighs less that 1 lb than my T3 Lite (4-16x56 Schmidt Bender Polar T96 28.5oz, Vortex precision matched rings with Mountain tactical rail)
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The CTR stock, bottom metal, and mag weight more than the T3/T3x versions. Thus saving weight. There is a thread that many have done, even myself because I have both, that compares the two. Its really closer than you would think. Unless you take a T3x superlite and put a 3-9x32 superlite scope on it.
If you did try the 130's, I know that Barnes claims to start at .050" off lands. My load is 49g varget, R-P brass, CCI-200, seated 2.825" which is more than .050" jump and shoots sub 1/2" moa in the T3 all day if I do my part. Haven't messed with them in the CTR yet. But I do know that they like to be jumped and not close to lands. Hell, even the Barnes website load data has them at 2.735". Thats seated pretty deep.
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Oh and one more thing, you mention varget and TAC. TAC is supposed to gain more velocity, however its temp sensitive. I would stick with Varget if you have it.