A torsional vibration damping arrangement for the powertrain of a vehicle includes an input region to be driven for rotation around a rotational axis (A) and an output region, there being provided between the input region and the output region a first torque transmission path and, parallel thereto, a second torque transmission path and a coupling arrangement. A phase shifter arrangement is provided in the first torque transmission path. The coupling arrangement is constructed as a magnetic coupling gear unit.