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