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