A radially inner race and a radially outer race for a continuously variable transmission includes a first inner race structure and a second inner race structure spaced along an axis wherein at least one of the first inner race structure or the second inner race structure is axially movable. A sun shaft is coupled to the radially inner race and planetary members in rolling contact with the radially inner race, and a torsion damping mechanism is coupled to the first inner race structure to apply torque between the first inner race structure and the sun shaft to reduce a transition amplitude during a torque impulse.

A radially inner race for a continuously variable transmission includes a first inner race structure and a second inner race structure spaced along an axis wherein at least one of the first inner race structure or the second inner race structure is axially movable. A sun shaft is coupled to the radially inner race and planetary members in rolling contact with the radially inner race, and a torsion damping mechanism is coupled to the first inner race structure to apply torque between the first inner race structure and the sun shaft to reduce a transition amplitude during a torque impulse.

Transmission (10) comprising a sun (1), a planet carrier (4), a first planet (21) having a first axis of revolution (41) and a first lateral surface (31) that is nonparallel to it, and a ring (3). When there is a relative movement between said first planet (21) and said ring (3) for a constant transmission ratio, a force of power transmission, Formula (I), between said first planet (21) and said ring (3) defines a plane (55). The transmission (10) comprises rolling means (15) for allowing a movement of translation between said ring (3) and said first planet (21) along a direction of translation (65) that is perpendicular to said plane (55) such that different transmission ratios can be obtained, corresponding to different coupling points (8) between said first lateral surface (31) and said ring (3) along said direction of translation (65).