Entry 1 sense Webster, 1913 Hegemonic /hĕgˌ-əm-än'-ĭk/ · Heg·e·mon·ic · IPA /ˌhɛd͡ʒ.ɪˈmɑ.nɪk/ 01 a. Leading; controlling; ruling; predominant. 1. Leading; controlling; ruling; predominant.