A family of catheter electrode assemblies includes a flexible circuit having a plurality of electrical traces and a substrate; a ring electrode surrounding the flexible circuit and electrically coupled with at least one of the plurality of electrical traces; and an outer covering extending over at least a portion of the electrode. A non-contact electrode mapping catheter includes an outer tubing having a longitudinal axis, a deployment member, and a plurality of splines, at least one of the plurality of splines comprising a flexible circuit including a plurality of electrical traces and a substrate, a ring electrode surrounding the flexible circuit and electrically coupled with at least one of the plurality of electrical traces; and an outer covering extending over at least a portion of the ring electrode. A method of constructing the family of catheter electrode assemblies is also provided.