ring gear 168 and sun gear 176 forms the first shaft the combination of carrier 162 and carrier 172 forms the second shaft the combination of ring gear 178 ring gear 148 and sun gear 156 forms the third shaft and sun gear 166 forms the fourth shaft gear sets 140 and 150 of fig5 correspond to lever 74 of fig2 the combination of carrier 142 and carrier 152 forms the fifth shaft and sun gear 146 forms the sixth shaft as shown in table 8 engaging the clutches and brakes in combinations of three establishes nine forward speed ratios and one reverse speed ratio between input shaft 10 and output shaft 12 when the gear sets have tooth numbers as indicated in table 7 the speed ratios have the values indicated in table 8 while exemplary embodiments are described above it is not intended that these embodiments describe all possible forms encompassed by the claims the words used in the specification are words of description rather than limitation and it is understood that various changes can be made without departing from the spirit and scope of the disclosure as previously described the features of various embodiments can be combined to form further embodiments of the invention that may not be explicitly described or illustrated while various embodiments.