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