Here's what rhymes with chamcteristic.
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flyspeck terrific lipstick lytic triptych dipstick diptych critic civic lyric acidic catalytic mimic mythic picnic citric cryptic elliptic granitic pacific physic cynic lithic thymic gimmick arrhythmic periwig nitpick sylphic specific analytic clinic rhythmic parasitic acrylic dendritic ecliptic idyllic limbic paralytic rabbinic satiric antiarrhythmic arthritic honorific metaphysic porphyritic nephritic pantomimic pinprick juridic zoophytic intrinsic apocalyptic extrinsic hemolytic monolithic nonspecific prolific horrific syphilitic algorithmic basophilic empiric haemolytic hydrolytic impolitic neolithic megalithic bulimic philippic transpacific bromidic scientific logarithmic electrolytic hydrophilic phenotypic proteolytic cataclysmic organismic thrombolytic antisemitic patronymic saprophytic unspecific palaeolithic encephalitic cenobitic polyclinic coenobitic nonrhythmic psychoanalytic hemispheric unscientific carboxylic hermaphroditic nonscientific paleolithic eosinophilic fibrinolytic hieroglyphic stratospheric