I remember reading somewhere that some systems use a 26 hour clock in that it's literally valid 00:00 to 25:59, or 28 hr for 00:00 to 27:59. 24:30 10/1 and 00:30 11/1 mean the exact same thing, it's a notational convenience to not have to worry about date boundaries between days.

Trying to find the source again but not having success.