A system of finishing a part includes at least two materials of different hardness, the system including at least one accommodating device, used as a container for an abrasive element and a support device including a structure to secure the part. The system further includes a mechanism to move the part closer against the abrasive element and a mechanism to move the part relative to the accommodating device along satin finish lines. The part, in one example, is a part of a timepiece.