A surgical bur including a shaft with a bur head. A number of flutes are formed on the bur head. Each flute has a cutting edge. Chamfer surfaces form the front, distally directed faces of some of the burs. The flutes without chamfer surfaces having cutting edges emerge from the bur head at locations relatively close to the distal end tip of the head. The flutes over which the chamfer surfaces extend have cutting edges that start, extend proximally rearward, from locations that are, spaced proximal from the distal end tip.