Here's what rhymes with nonexceptional.
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sectional sceptical seminal correctional sentinel extensional conventional acceptable festival intentional retinal sensual skeptical unacceptable confessional directional segmental attentional unintentional execrable inflectional obsessional concessional convectional inflexional recessional medical professional chemical terrible accessible cerebral dimensional sensible clerical intestinal marital perceptual spectacle susceptible vegetable credible genital parable perceptible skeletal receptacle unconventional legible tenable bearable expendable testable unprofessional nonprofessional processional tentacle correctable wearable extendable spendable pentacle weldable bendable complexional quenchable flexible incredible amenable congressional inaccessible plentiful textual commendable insensible pedestal illegible impeccable ineffable regrettable unidirectional bidirectional chimerical expressible psychosexual extensible inedible collectible insusceptible amendable breathable collectable perfectible stretchable comestible connectable electable nonclerical spreadable connectible numerical congenital respectable homosexual contemptible dependable detectable inflexible lamentable multidimensional unbearable untenable defensible detestable impregnable inexpressible ostensible polemical trigeminal unforgettable alchemical delectable digestible presentable preventable threedimensional twodimensional anticlerical contestable prophetical impressible repairable suggestible undependable forgettable preventible suppressible unpreventable detectible nonnumerical unwearable noncollectable hypothetical biochemical heterosexual irrepressible premarital compressible geochemical incontestable indefensible indigestible photochemical physicochemical undetectable unquenchable urogenital dispensable paraprofessional semiprofessional premedical recommendable subprofessional indispensable comprehensible extramarital histochemical incompressible intertextual intracerebral paramedical gastrointestinal reprehensible alphanumerical musculoskeletal immunohistochemical