Methodically rhymes with:
periodically, periodically, chronically, clinically, comically, critically, cynically, diametrically, electrically, electronically, empirically, ethically, fanatically, geographically, hermetically, historically, intrinsically, journalistically, magically, magnetically, majestically, mathematically, metrically, mineralogically, optimistically, parenthetically, pathetically, periodically, philosophically, physically, politically, pragmatically, ritualistically, romantically, sardonically, scientifically, skeptically, statistically, surgically, symbolically, sympathetically, tactically, technically, technologically, theatrically, theoretically, therapeutically, uncritically
Methodically sounds like:
mattikalli, medaglia, medical, medically, mentzel, methodical, methuselah, midgley, mitchel, mitchell, mithcell, mitzel, monticciolo, monticello, muetzel, mythical