Here's what rhymes with prosodically.
methodically periodically episodically melodically Words that almost rhyme with prosodically
analogically pedagogically genealogically ethnologically demagogically technologically phonically comically laconically conically chronically lethargically bucolically bionically historically philosophically symbolically sardonically diabolically harmonically knowledgeably ultrasonically demonically mnemonically alcoholically monotonically prehistorically hydroponically vitriolically electronically metabolically catastrophically histrionically exorbitantly anthropomorphically