Discernment rhymes with:
adjournment, internment, abandonment, adjournment, adornment, alignment, apportionment, arraignment, assignment, atonement, attainment, confinement, consignment, containment, disillusionment, enlightenment, entertainment, environment, imprisonment, infotainment, internment, misgovernment, nongovernment, postponement, realignment, reapportionment, reassignment, refinement, self-government
Discernment sounds like:
degrand, dejarnett, dejarnette, diagrammed, dichromate, disagreement, disarmament, disarmed, discerned, discriminate, discriminated, disorient, disoriented