brakes in combinations of three establishes ten forward speed ratios and one reverse speed ratio between input shaft 10 and output shaft 12 an x indicates that the clutch is engaged to establish the speed ratio when the gear sets of fig1 have tooth numbers as indicated in table 1 the speed ratios have the values indicated in table 2 all shifts between adjacent speed ratios can be accomplished by the coordinated release of one clutch or brake and the engagement of one other clutch or brake similar all two step shifts except 4 th to 6 th and many of the three step shifts can be accomplished by the coordinated release of one friction element and engagement of one other friction element additional shift are possible by utilizing alternate combinations of clutches for certain speed ratios specifically 4 th gear can be established by engaging brake 62 while engaging any two of clutches 66 68 and 70 similarly 7 th gear can be established by engaging clutch 64 while engaging any two of clutches 66 68 and 70 and 10 th gear can be established by engaging brake 60 while engaging any two of clutches 66 68 and 70 for example a shift from 4 th gear to 6 th gear can be accomplished by engaging clutch 68 then releasing clutch 66 and then coordinating the release of clutch 70 with the engagement of clutch 64 another example transmission is illustrated in fig2 the transmission utilizes four simple planetary gear sets 20 30 40 and 50 input shaft 10 is fixedly coupled to carrier 32 output shaft 12 is fixedly coupled to carrier 52.