The set (J) has glenoidal components (S1, S2, M1, M2, L1, L2), each including a body (S1.1) defining an articular surface (S1.2) and a support surface (S1.3) supported against glenoid cavity of scapula respectively on opposite faces that cooperate with prosthetic or natural humeral head in an articular manner. The components are formed in different sizes (S, M, L) in the support surface, where the sizes are defined by dimensions of articular surface of the body. Support surfaces of the bodies have different dimensional geometries.