The current disclosure is directed to a medicine dispenser with a dispensing schedule. In one implementation, the medicine dispenser includes a cylindrical container and a disk-shaped cap having a cylindrical rim and an inner schedule display. An indication on or within the inner schedule display is displayed to a medicine consumer through an aperture in the cylindrical rim of the cap. Features included in the cap, schedule display, and cylindrical container interoperate to ensure that the displayed indication is advanced when the cap is removed from, and subsequently replaced on, the container. The displayed 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 inner schedule display include features that allow the displayed indication to be set to a particular indication.
