The present teachings are directed to a shoulder prosthesis having an adjustable radial offset and/or angular inclination provided by relative rotation of an adapter interdisposed between a stem and a head. In one example, a prosthesis has a stem having a first longitudinal axis. The prosthesis can also include an adaptor including a first taper. The first taper can have a first taper axis. The prosthesis can include a head supported by the adaptor. The head can be selectively oriented and then coupled to the first taper and the combination can be selectively orientated and the coupled to the stem.