An attachment comb, particularly a skin protecting comb, for a blade set of a cutting head of a hair cutting appliance, the attachment comb including a supporting frame and comb teeth that are arranged in a series and that define a skin contact zone at a top side thereof. The teeth extend from the supporting frame and include rounded tips at frontal ends thereof. Additionally, the teeth are non-uniform along the series and include two outer lateral teeth that define lateral ends of the series, along with central teeth arranged therebetween. At the lateral teeth, a lateral teeth tip radius (Rtl) is present that is greater than a tip radius (Rtc) of the central teeth. Also described herein is corresponding a cutting head and hair cutting appliance.