Add a custom song `AAAAAAA` that's just 60 minutes of silence?
Perhaps 60 seconds of silence and then the bass intro of Seven Nation Army kicking off at full volume.
I used to have a copy of the THX theater intro sound effect as the alphabetically first track in my library for this purpose. Not quite 60 seconds, but starts off quiet and served as a reminder to either choose a track or shut the music off.