Along the lines of what gundoc has suggested but I doubt it is your issue.
He has a Remington 700 300 win mag that he has been mucking around a bit doing long-range shooting. older rifle, not one of the more recent shit jobs
at longer ranges, I think past 400, it had a tendency to start throwing to one side. Not a lot but at it got further it corresponded to the shots on target as well
He had already had a major shitfight with it using a lot of powder and primers etc until he found out it had a slow 1-14 twist and needed the appropriate projectile. Should've been a 1-10 to make use of the magnum case for bigger projectiles. but back on task
Between Himself and another good friend where he worked (owns a machine shop) they worked out the back mount was on the piss. I think both rear screw holes for the base were off maybe 1/4 mm to one side. That's 10 thou to the proper people.
He ummed and ahhed about it but got a carbide cutter of the appropriate size for about 60 bucks, set it all up on the mill (triple checking and gently recut the holes and it only needed tapping to the next size up.
he was still dubious about it working and it being the issue in the first place.
Well, it was. On a sporting rifle barely used out to 400 it wouldn't have been noticeable but once you got out past that it reared its head.
must've been working a little bit like canting a scope. It was never in line with the bore.
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