Here's what rhymes with mnemotechnically.
technically Words that almost rhyme with mnemotechnically
majestically metrically sceptically electrically pathetically charitably skeptically aseptically indelicately theoretically diametrically hermetically magnetically veritably apathetically inextricably intelligently residency sympathetically effeminacy hesitancy hesitantly parenthetically eccentrically infinitesimally antiseptically ecumenically effeminately egocentrically photoelectrically reticently geocentrically ineligibly negligently concentrically unsympathetically hydroelectrically sacrilegiously electromagnetically