pressure angle burnishing gears or burnishing dies 32 and 40 respectively as a result of the incorporation of such new and improved burnishing gear or burnishing die 110 into the burnishing gear or burnishing die system of flair larger or more broadbase imperfections irregularities nicks or the like can be effectively removed from workpiece gears such as workpiece gears 1 1 a as shown in flair than would otherwise ordinarily or normally be possible with a system such as that of flair if the new and improved burnishing gear or burnishing die 110 of the present invention was not in fact incorporated within such a system more particularly larger or more broadbase imperfections irregularities nicks or the like which could only otherwise ordinarily or normally be effectively removed from workpiece gears by burnishing the same within a coolant applied reciprocating system such as that shown in the patented system of jorgensen can now be effectively burnished to desired tolerances by incorporating the burnishing gear or burnishing die 110 of the present invention into the system of flair whereby the adverse operational drawbacks of operating a coolant applied reciprocating system such as that shown in jorgensen can be obviated of course proceeding further in those instances wherein workpiece gears having the largest or most broadbase imperfections irregularities nicks.