The present invention relates to an abutment for securing a dental prosthesis to a dental implant. The multi-member abutment corrects for angular misalignment between the dental prosthesis and implant by way of thirty or greater discrete orientations about a central vertical axis and, an external ball that protrudes from the upper surface of the abutment to externally constrain the prosthesis from the side. Exchangeable members are available for variability in height and offset angle beyond a specified range.