Tangently related, but working timetables on the London Underground run to 2330, 2345, 2359, but then rather than going to 0000, because the post midnight services (until about 0400) are on the previous date, they then go

2359

2400

2401

And on to 2459, 2500, 2501 etc.

(At least they used to before 24 hour running, not sure about now)