Measuring system including a coordinate measuring machine having a processing unit and a moveable support, and one or more actuators for positioning said movable support relative to a reference surface, the moveable support having a support connector, a scanning probe, detachably connected with the moveable support, for measuring points lying on a scanning path on a surface of a workpiece positioned on the reference surface, a modular rotation fitting, comprising a first connector, arranged to interoperate with the support connector for connecting the modular rotation fitting to said moveable support, and a second connector, arranged to interoperate with the probe connector, for connecting the scanning probe to the modular rotation fitting, and an actuator, for rotating the second connector relative to said first connector, wherein the first and said second connector contain a plurality of signal connections for transmitting driving signals to the actuator of said modular rotation fitting.