A clamping assembly for adjustably connecting a device to a rail, comprising: a clamp body ; a rail interface mechanism dimensioned to receive a rail, comprising a first and second jaw , the second jaw vertically slideable relative to the first jaw ; a rail clamp control comprised of a threaded vertical axle terminating in a pin end , the vertical axle rotatably coupled to the clamp body and extending through the second jaw ; a threaded wedge restricted to a vertical sliding motion and threadably coupled to threads of the vertical axle , the threaded wedge including an angled wedge face sloping downward toward an internal face of the clamp body ; and a floating wedge constrained to motion in a horizontal direction, having a wedge face parallel and operatively coupled to the angled wedge face of the threaded wedge , wherein rotating the rail clamp control causes the rail interface mechanism to move the second jaw and further causes the floating wedge to move horizontally to secure the rail horizontally between the floating wedge and the first and second jaws ; and a vertical support mechanism coupled to the clamp body providing rotational control of the device. a clamp body ; a rail interface mechanism dimensioned to receive a rail, comprising a first and second jaw , the second jaw vertically slideable relative to the first jaw ; a rail clamp control comprised of a threaded vertical axle terminating in a pin end , the vertical axle rotatably coupled to the clamp body and extending through the second jaw ; a threaded wedge restricted to a vertical sliding motion and threadably coupled to threads of the vertical axle , the threaded wedge including an angled wedge face sloping downward toward an internal face of the clamp body ; and a floating wedge constrained to motion in a horizontal direction, having a wedge face parallel and operatively coupled to the angled wedge face of the threaded wedge , wherein rotating the rail clamp control causes the rail interface mechanism to move the second jaw and further causes the floating wedge to move horizontally to secure the rail horizontally between the floating wedge and the first and second jaws ; and a first and second jaw , the second jaw vertically slideable relative to the first jaw ; a rail clamp control comprised of a threaded vertical axle terminating in a pin end , the vertical axle rotatably coupled to the clamp body and extending through the second jaw ; a threaded wedge restricted to a vertical sliding motion and threadably coupled to threads of the vertical axle , the threaded wedge including an angled wedge face sloping downward toward an internal face of the clamp body ; and a floating wedge constrained to motion in a horizontal direction, having a wedge face parallel and operatively coupled to the angled wedge face of the threaded wedge , wherein rotating the rail clamp control causes the rail interface mechanism to move the second jaw and further causes the floating wedge to move horizontally to secure the rail horizontally between the floating wedge and the first and second jaws ; and a vertical support mechanism coupled to the clamp body providing rotational control of the device. <EOS>