Abstract: Embodiments provide for planetary gearing systems with sun, planetary and ring gears, wherein the ring gears have generally cylindrical or elliptical tooth forms with a common shape and geometric parameters. The ring gear and a sun gear each engage one or more of planetary gears in respective mesh engagements, wherein the gear forms on each may be independently formed as a function of their respective geometries (sun or ring gear pitches, and sun or ring radii from a common central axis of the planetary gearing system), and as a function of the planetary gear tooth form shape and geometric parameters, planetary gear radius from the common central axis, and the planetary gear tooth pitch.