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