A multi-rate torsional coupling (20) features parallel first and second drive connections (82 and 84) between input (24) and output (22) members. The first drive connection (82) extends through a first resilient coupling (38), and the second drive connection (84) extends through a second resilient coupling (40). An angular play coupling (70) engages the second drive connection (84) at a particular torque load for transmitting additional torque through the torsional coupling (20) at a higher spring rate.