There is an excellent scheduling system that you can install that gives you a seven day schedule with each 24 hours divided into a user selectable number of periods. You can find it here.
Maybe you could use that together with some items and maybe some small rules that use the expire binding so that they stay on for five, ten, fifteen, etc seconds and then use the timeline picker to select the five second item at 9am, then 15 second item at 1pm, etc.