Dynastic rhymes with:
gymnastic, monastic, bombastic, drastic, ecclesiastic, elastic, enthusiastic, fantastic, fantastik, gymnastic, iconoclastic, inelastic, interscholastic, monastic, onomastic, plastic, sarcastic, scholastic, stochastic, thermoplastic, unenthusiastic
Dynastic sounds like:
denktas, densities, domestic, domestics, donizetti's, downsides, downstage, dynasties