that the height of the rear portion of the central portion 12 near the elevation adjustment bore 35 is at a desired height the whole sight base being pivotally disposed with respect to the rear battle sight 17 at and by means of the roll pin 15 adjustment of a set screw within the bore 35 clockwise when right hand threads are employed causes the set screw to protrude from the bottom of the central portion 12 in an amount readily selectable by the user by virtue of turning of the set screw and to selectively contact either the rifle barrel or the rear battle sight mount 17 in its protrusion depending upon the rifle selected and the configuration of its rear battle sight mount to adjust the height of the rear portion of the sight base 10 once a the desired setting of the set screw disposed within the bore 35 has been achieved set screws disposed in the four holes 18 r and 18 l are turned into their bores until they snugly grip the sides of either the barrel of the rifle or the rear battle sight mount 17 depending upon the rifle selected depending upon the clearance between the roll pin 15 and the roll pin receiver an optional set screw may be inserted into the threaded hole 42 to contact the roll pin upon sufficient tightening for increased overall positional stability thus according to the foregoing a sight base according to the invention is adapted to an existing battle sight mount 17 of an existing rifle such as an sks rifle next a conventional.