The oscillating system allows compensation under the 6 jaws while still clamping centrically. The compensation allows all clamping points to contact the workpiece evenly and with the same force to the workpiece. Clamping systems with more than three clamping points without compensation leads to an over-determined clamping situation and particularly bring thinwalled workpieces into a forced position with a high proportion of deformation. This disadvantage does not exist with INOZet^® by using the compensation technic. Due to the serration on the upper side of the pendulums, workpieces can be clamped in the entire chuck diameter range with one set of top jaws (6 pieces). Only a single set of jaws is required for small and large diameters as well as for internal and external clamping. The use of hard jaws for rough machining as well as the use of turned soft jaws for the second operation is equally possible.