A series of one or more cams, in a synchronized segmentally interchanging pulley transmission system, affixed or fixably mounted to a chassis or housing, and a series of rollers, fixed members or other such cam followers, with a roller arm affixed to each roller, where the roller and roller arm are slidably or rotatably mounted to unified pulley segment stacks, together capable of moving a unified pulley segment stack by the movement of each roller into and out of an active position, enabling its engagement with a cam, in a manner such that individual pulley segments of said stack may be moved into or out of an engaging position.