Inconsistencies rhymes with:
residencies, agencies, agencies', agency's, clancy's, competencies, conservancy's, constituencies, contingencies, counterinsurgencies, currencies, currencies', currency's, deficiencies, delinquencies, dependencies, discrepancies, efficiencies, emergencies, excellencies, exigencies, expectancies, fancies, frequencies, inefficiencies, insolvencies, insurgencies, malignancies, nancy's, pregnancies, presidencies, presidency's, quincy's, redundancies, regency's, residencies, tendencies, transparencies, vacancies, vinci's
Inconsistencies sounds like:
inconsistency, inconstancy, injunctions