Here's what rhymes with epistomatic.
somatic spermatic dramatic automatic static systematic dogmatic emphatic schematic thematic traumatic erratic pneumatic rheumatic asthmatic chromatic fanatic zygomatic stigmatic diplomatic hepatic aromatic climatic pragmatic enigmatic enzymatic lymphatic prostatic cinematic emblematic operatic prismatic achromatic idiomatic magmatic phlegmatic schismatic astigmatic photostatic democratic aristocratic problematic pancreatic symptomatic autocratic charismatic ecstatic aliphatic axiomatic kinematic paradigmatic psychosomatic muriatic posttraumatic theocratic unsystematic panchromatic undramatic unemphatic aerobatic bureaucratic asymptomatic electrostatic hydrostatic metastatic melodramatic programmatic diagrammatic diaphragmatic homeostatic intrahepatic orthostatic technocratic acrobatic epigrammatic meritocratic numismatic plutocratic semiautomatic thermostatic nondramatic undiplomatic idiosyncratic monochromatic undemocratic unproblematic antidemocratic unidiomatic homoeostatic nondemocratic Words that almost rhyme with epistomatic
magic nomadic tragic sporadic pelagic priapic syllabic disyllabic apparatchik monosyllabic polysyllabic manic mastic dynamic romantic panic dynastic lactic stochastic tactic phallic tannic malefic traffic classic elastic plastic fabric gastric gigantic graphic metallic semantic ceramic drastic frantic monastic catholic didactic mechanic oceanic synaptic panoramic pedantic spastic tympanic clastic gymnastic italic titanic bimetallic bombastic botanic tyrannic matchstick organic fantastic psychiatric scholastic thoracic volcanic barbaric hemorrhagic inelastic pediatric sarcastic aerodynamic cephalic climactic galactic geriatric messianic postsynaptic thalamic aplastic haemorrhagic satanic tomographic orgiastic paediatric slapstick unromantic ataxic baldric demographic enthusiastic geographic inorganic photographic ethnographic hypothalamic neoplastic thermodynamic galvanic glutamic hemodynamic hydrodynamic nostalgic ophthalmic pornographic presynaptic psychodynamic telegraphic heraldic hyperplastic hypoplastic lithographic psychopathic splanchnic viscoelastic isobaric stenographic biographic neoclassic osteopathic periphrastic sycophantic phonographic xerographic nonelastic cytoplasmic prophylactic ecclesiastic endoplasmic topographic anaphylactic angiographic holographic orthographic thermoplastic chiropractic nonmetallic oceanographic typographic intergalactic interscholastic seismographic radiographic bibliographic stratigraphic transatlantic cartographic iconoclastic iconographic intrathoracic protoplasmic unenthusiastic anticlimactic calligraphic choreographic transoceanic chromatographic crystallographic cinematographic autobiographic lexicographic overenthusiastic electrocardiographic electroencephalographic