...with 4 turns a day you could never sleep for 6 hours a day if you were to be on every turn.
Mrh? If the turns were 00/06/12/18, you could do a turn at 00:30, sleep until 11:30, then do the 06 and 12 turns in an hour, go back to sleep until 23:30, do two more turns in an hour, etc.... You could sleep 22 hours a day, and two turns in each of your waking two waking hours.
It would be hell for Marshals.
You would definitely have to have a pretty large military committee to handle orders.