The invention proposes a modular reverse shoulder prosthesis (1), comprising:a stem (10) having a proximal taper (14) and a primary stem axis (110), the proximal taper extending from the stem about a metaphyseal axis (143), the metaphyseal axis at an angle (111) with respect to the primary stem axis, the stem further comprising a proximal perimeter (12) and a concavity (13) formed between the proximal taper and the proximal perimeter; anda metaphysis (20) having a proximal end (22), a distal end (21), an aperture (23) in the distal end configured to be placed over the proximal taper, the distal end having a distalmost end comprising a convex curvature (23),wherein the distal most end is configured to engage the concavity of the stem when the metaphysis is attached to the stem, such that in an x-ray image in a coronal plane of the metaphysis attached to the stem, the proximal perimeter (12) of the stem covers the distalmost end of the metaphysis.