An apparatus for damping torsional vibration in a shaft, having a plurality of retainer pockets spaced from each other in the direction of the shaft's axis of rotation and connected for contemporaneous rotation with the shaft, and a plurality of disks each disposed within one of the retainer pockets, each retainer pocket having a circular track wall, each disk being free to shift perpendicular to the shaft's axis of rotation to engage and move along the circular track wall in response to the vibration, wherein each circular retainer pocket has a center that is at a predetermined radial offset distance relative to the shaft's axis of rotation and the respective radial offsets are angularly spaced from each other about the shaft's axis of rotation.