Last Byte- Upstart Puzzles Optimal Chimes

Abstract

IF vou HAVE ever spent any time near a catheal, you will recognize the rich sound of bells announcing each hour and often even the quarter hours. This puzzle asks you to a imagine living when the church bells were the only source of determining time. Specifically, imagine a country named Medievaliana whose King Meddy has decreed that at most once every 15 minutes all the churches should ring chimes in such a way that everyone within earshot would know the exact time of day to within one minute.