Trimming blade head and a razor comprising a razor handle and such a trimming blade head

A trimming blade system having a front and comprising:

• a supporting plate;
• a blade;
• and a cover plate, the blade having a cutting edge facing forwardly toward the front of the trimming blade system, the trimming blade system having a comb provided with teeth which project forwardly toward the front of the trimming blade system and which overlap the cutting edge, each of the teeth having an upper face, two lateral faces, and a lower face, the lower face of each of the teeth is joined to the lateral faces by opposite chamfered faces to form a shoulder, each one of the teeth is tapered toward the shoulder and is adjacent to an upper face of the blade, and the cutting edge is positioned adjacent the shoulder.