  We show that by combining high precision measurements of the atmospheric
delta m^2 in both the electron and muon neutrino (or anti-neutrino)
disappearance channels one can determine the neutrino mass hierarchy. The
required precision is a very challenging fraction of one per cent for both
measurements. At even higher precision, sensitivity to the cosine of the CP
violating phase is also possible. This method for determining the mass
hierarchy of the neutrino sector does not depend on matter effects.
