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