  We introduce a generalization of the conventional renormalization schemes
used in dimensional regularization, which illuminates the renormalization
scheme and scale ambiguities of pQCD predictions, exposes the general pattern
of nonconformal {\beta_i}-terms, and reveals a special degeneracy of the terms
in the perturbative coefficients. It allows us to systematically determine the
argument of the running coupling order by order in pQCD in a form which can be
readily automatized. The new method satisfies all of the principles of the
renormalization group and eliminates an unnecessary source of systematic error.
