Here's what rhymes with peritonism.
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mizzen mission rhythm arisen risen omission given vision listen permission prison admission emission fission riven position addition decision division commission driven edition ambition petition incision submission ignition remission tuition attrition derision magician technician volition apposition dentition envision imprison audition logician stiffen glisten readmission condition definition opposition tradition physician provision television transition transmission algorithm precision repetition abolition coalition cognition collision intuition nutrition partition prohibition revision clinician excision forgiven musician supposition admonition apparition demolition erudition fruition sedition intermission logarithm paroxysm patrician rendition striven rhetorician academician dietitian ebullition munition prevision rescission tactician recognition expedition proposition supervision suspicion ammunition decomposition deposition exposition inhibition politician imposition subdivision preposition transposition contrition indecision interposition redefinition superposition cataclysm electrician manumission premonition competition composition acquisition disposition exhibition superstition circumcision requisition extradition inquisition precondition presupposition disquisition obstetrician pediatrician theoretician imprecision juxtaposition malnutrition mathematician indisposition statistician diagnostician predisposition superimposition wisdom serum theorem cecum gingham system kingdom victim dictum gypsum fearsome winsome symptom pilgrim ecosystem