Here's what rhymes with etiamai.
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 untie wai phi amebae lanai apply dry supply try cry fly sky deny spy fry ply sly pry tri trie pri amoebae overlie sty aquae bonsai ossify spry stye shanghai overbuy slier thereby imply nearby rely comply hereby defy verify certify underlie alibi pacify samurai belie edify resupply deify firefly horrify turfy overfly scurfy versify mummify banzais reply justify occupy satisfy whereby modify nuclei specify alkali classify signify testify goodbye notify alveoli nullify ratify standby unify decry falsify lullaby pupae termini terrify typify codify crucify descry mollify ramify vilify acidify mystify retry vivify calcify misapply reunify stupefy scarify vitrify beatify drachmai ripply speechify yuppify stimuli clarify qualify simplify butterfly glorify gratify purify amplify diversify fortify magnify rectify solidify dignify liquefy mortify oversupply personify demystify stratify stultify triply ultrahigh blowfly emulsify petrify liquify barfly hyperbolae prettify syllabify dandify solemnify identify multiply intensify quantify beautify detoxify dragonfly preoccupy reclassify revivify cumuli dissatisfy declassify gentrify refortify exemplify disqualify indemnify objectify oversimplify electrify misidentify transmogrify