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