Had a classic rock station in Midland that played the same 12 songs over and over and over.....Classic rock isn't a small genre. It's hard to screw it up that bad. But they did....my favorite genre--I wound up listening to the "alternative rock" station. At least they'd play songs that I never heard before....
I think I can do you one better.
About ten years ago I was driving through Northeast Texas, and ran across a station that was playing only Roy Orbison's Pretty Woman. Every time it finished it would start up again -- with just an occasional break. The station even had a contest going on -- for the listeners to predict what time on the following Tuesday the continuous sequence would stop!
Never could figure out the real reason for the continuous play. My assumption is that they needed/wanted to keep a live signal broadcasting, so they found a way to keep something on the air. Maybe they were jost operating on a really tightbudget and could only afford one record in their library!