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