A positioning system for a magnetic head for a tape drive has a tiltable lead screw between the magnetic head and a guide pin, providing reduced backlash with a low cost mechanism. Placing the lead screw between the magnetic head and the guide pin creates a pivot point at the guide pin, reducing backlash. Making the lead screw tiltable enables low precision, low cost mounting of the lead screw. Azimuth and zenith precision are controlled primarily by the guide pin, which is also low cost. Azimuth is adjustable by setting a screw that controls the angle between the drive chassis and the head motion system baseplate.