Set of glenoid components for a shoulder prosthesis

A set of glenoid components for use in a shoulder joint, the set comprising:

• a first glenoid component comprising a first primary body and a first anchoring element, the first primary body comprising a first joint surface configured to cooperate with a prosthetic or natural bone head and a first bearing surface configured for placement against the patient's shoulder blade socket, the first anchoring element extending from the first bearing surface;
• and
• a second glenoid component comprising a second primary body and a second anchoring element, the second primary body comprising a second joint surface configured to cooperate with the prosthetic or natural bone head and a second bearing surface configured for placement against the patient's shoulder blade socket, the second anchoring element extending from the second bearing surface;
• wherein a difference between a radius of curvature of the first bearing surface and a radius of curvature of the second bearing surface is at least 4 mm.