A device for damping torsional oscillations comprises a support rotatable around an axis. At least one pendulum body is movable with respect to the support. At least one bearing member interacts with at least one raceway integral with the support and with at least one raceway integral with the pendulum body. The bearing member rolls along each raceway around an inactive raceway position. The first region is shaped to filter a first order value of the torsional oscillations by the pendulum body when the bearing member rolls along that first region. Two second regions are beyond an end of the first region. Each second region is shaped to filter a second order value of the torsional oscillations by the pendulum body when the bearing member rolls along one of those second regions. The second order value is strictly lower than the first order value.