A bevel head attachment comprises a rotation axis normal to a cutting plane and a rotary assembly having cylindrical inner and outer barrels and a bevel arm. The bevel arm carries a tilt arm having a torch clamp. The tilt arm rotates about a tilt axis forming an acute angle with the rotation axis. A rotation drive motor operable to rotate the bevel arm about the rotation axis and a tilt drive motor operable to rotate the tilt arm about the tilt axis are located remotely from the torch clamp. The tilt drive motor is connected to the tilt arm through the outer barrel. The motors are commanded according to only two transformation equations to rotate a torch held by the tilt arm about the rotation and tilt axes to achieve planer tilt adjustment. The lightweight attachment provides unlimited rotation, and locates sensitive electronic elements away from the torch.