One embodiment of the present invention is a medicine dispenser with a built-in dispensing schedule. In this embodiment, a cylindrical container with a close-fitting disk-shaped cap having a cylindrical rim includes an inner schedule display, one day-and-time indication of which is displayed to a medicine consumer through an aperture in the cap rim. Features included in the cap, schedule display, and cylindrical container interoperates to ensure that the displayed day-and-time indication is advanced when the cap is removed and replaced. The displayed day-and-time indication is relatively large and clear, to facilitate viewing by vision-impaired users, and the schedule-advancement mechanism is robust and reliable. In addition, the cap and built-in schedule display include features that allow the displayed day-and-time indication to be set to an initial day-and-time indication.
