For decades the primary experimental goal in studies of hadronic parity nonconservation (PNC) has been the isolation of the isovector weak nucleon-nucleon interaction, expected to be dominated by long-range pion exchange and enhanced by the neutral current. In mesonexchange descriptions this interaction together with an isoscalar interaction generated by ρ and ω exchange dominate most observables. Consequently these two amplitudes have been used to compare and check the consistency of the field's experiments. Yet to date, despite sensitive searches like that performed with 18 F, no evidence for isovector hadronic PNC has been found. Here we argue, based on recent large-N c treatments and new global analyses, that the emphasis on isovector hadronic PNC was misplaced. Large-N c provides an alternative and theoretically better motivated simplification of effective field theories (EFTs) of hadronic PNC, separating the five low-energy constants (LECs) into two of leading order (LO), and three others that are N 2 LO. This scheme pivots the isospin coordinates we have traditionally used, placing one dominant axis in the isoscalar plane, and a second along the isotensor direction. We show that this large-N c LEC hierarchy accurately describes all existing data on hadronic PNC. In particular, the null result found in 18 F reflects its dependence on an N 2 LO observable. We discuss opportunities to further test the predicted large-N c hierarchy of LECs, illustrating the kind of analyses experimentalists can use to better constrain the LO theory and to determine the size of N 2 LO corrections. This formalism -combined with a new wave of experiments that will be performed at the SNS cold neutron beam line and the recent demonstration that lattice QCD can now be applied to PNC NN scattering -could lead to rapid progress in the next five years. We discuss the impact of anticipated new results, including NPDGamma and a lattice QCD calculation of isotensor PNC. We also describe future experiments that can yield more precise values of the LO LECs and help isolate the N 2 LO ∼ 10% corrections.