Abstract: Different embodiments of multiple branch systems in which each branch includes multiple stations, a carrier reversing tube closed at one end, and a diverter having separate ports individually connected to (a) a branch tube which facilitates carrier transfer to and from the branch, (b) station tubes respectively associated with the different stations of the branch, and (c) the carrier reversing tube. The branch diverters selectively complete carrier-conveying paths between (a) the stations of their respective branches or their respective branch tubes and (b) their respective carrier reversing tube. Each branch has a single air supply connected to its carrier reversing tube to alternatively and selectively transfer carriers between stations of the branch via the station tubes, diverter and carrier reversing section, as well as transfer carriers to and from the branch via the branch tube.