A fast indexing mechanism that can be used to quickly and accurately change the axial position of a cone of a CVT. Said indexing mechanism comprises of a Rotation Providing Mechanism that is powered by springs that are tensioned by a pneumatic/hydraulic actuator (see FIGS. 41 and 42), a Rotation to Linear Converting Mover Mechanism (see FIG. 44), and an Indexing and Clutching Mechanism (see FIG. 43).