A blade set for a hair cutting appliance includes a stationary blade and a cutter blade. The stationary blade has a blade base and a plurality of teeth extending from the blade base in a longitudinal direction. The teeth are arranged in a series alternating with tooth gaps therebetween, where the tooth gaps define hair entry slots. The teeth have a first side arranged to cooperate with the cutter blade to cut hair and a second side arranged as a skin-facing side. The teeth have processing edges at the first side at their longitudinal extension, where the processing edges have smoothened edge transitions.