If you use tape as much as I do, you’ll appreciate this dispenser. Two sides fit in grooves cut into a mounting plate. A dowel spans the distance between the sides, holding the hubs which fit inside the rolls of tape. Each side has a notch in the top edge to support the dowel, which are left open at the top to make replacing a roll of tape easy. A cut-off hack saw blade is screwed to the base and used as a cutter.
After assembly, add the hubs that fit inside the rolls of tape. Each hub is sized to match the tape roll you’ll be using, with a centered hole so you can slip it onto the dowel. Adding some store-bought washers between the sides and hubs allows the rolls to spin independently of each other. To mount the dispenser, the mounting plate can be screwed into a wall or a pegboard panel.