Here's what rhymes with dialegomai.
my nigh mai muy nai mei by high why die lie thy y buy guy tie vi hi shy sigh bi bye chi dye fi hy pi pie thai thigh vie dei ly psi quae rye ty wir awry hai lye wry cy fy kai lai luy sy tai thei wai phi dry try cry fly sky deny spy fry goodbye ply sly pry tri trie pri untie sty amebae stye lanai slier apply imply nearby rely comply defy rectify belie amoebae codify edify liquefy overlie aquae bonsai spry turfy liquify scurfy shanghai drachmai ripply banzais overbuy supply reply thereby occupy whereby clarify hereby modify nuclei alkali signify verify notify underlie alibi alveoli nullify ratify samurai unify decry lullaby pupae solidify termini terrify typify dignify mollify ramify vilify acidify deify ossify retry triply ultrahigh vivify blowfly overfly mummify prettify yuppify multiply qualify specify classify testify certify glorify gratify purify quantify amplify magnify pacify standby beautify crucify descry mortify objectify resupply dragonfly electrify firefly mystify calcify horrify misapply petrify reunify stupefy cumuli scarify versify barfly vitrify syllabify dandify solemnify identify justify satisfy stimuli simplify butterfly diversify fortify falsify oversupply personify preoccupy stratify stultify emulsify reclassify revivify declassify beatify gentrify refortify speechify exemplify intensify indemnify demystify detoxify dissatisfy hyperbolae disqualify oversimplify transmogrify misidentify