A scope and mount block assembly for a rifle includes a scope having sets of spaced apart ribs for seating into complementary arcuate grooves in scope mount components. An underside keyseat in the scope aligns with a complementary keyseat in a scope mount block, and a key residing in the combined volume of both keyseat enforces this alignment. The scope mount blocks clamp to any standard rail such as a Picatinny rail. When the scope is removed, leaving the blocks in place, it can be reattached so that the key reestablishes its alignment to the rifle and no re-sighting of the scope is required. Also, careful selection of pitches for the scope ribs and for spaced apart features for engagement of the mount blocks to a mounting rail can offer much finer incremental location of the scope on the rifle for more precise adjustment of eye relief.