incongruous \in-KONG-groo-us\, adjective:
1. Lacking in harmony, compatibility, or appropriateness.
2. Inconsistent with reason, logic, or common sense.
She made nightdresses and petticoats in the old-fashioned mode and sold them to a shop in the market town -- one of those exclusive little shops with a single garment and something imaginatively incongruous -- a monkey's skull or an old boot -- arranged in the window.
-- Alice Thomas Ellis, Fairy Tale