Time
Time in the new world is pretty similar to how it used to work in the old world. A year is divided into 12 moons (months). A moon is divided into 5 weeks of 6 days each, for a total of 30 days in a moon. That makes up 360 days in a year. A day is divided into 24 hours, each hour has 60 minutes, and each minute has 10 rounds (= 10 x 6 seconds), just like our world.
For the purposes of the campaign, time is very flexible. Exact dates are rarely tracked; usually, we talk about relative times instead, in a convenient time scale (e.g. "6 moons since the calamity" or "2 weeks since the attack on Tolia"). Different groups might be at different times. Time can be retroactively sped up or slowed down during periods of low activity (such as while staying at home or undertaking a long journey) to make things consistent. Even major events are usually localized; different groups might not have necessarily heard of them, allowing further flexibility in time.
What follows is additional information that might be more detailed than we might care to use.

Further Details
The natives know and use the same calendar system. However, there is no universally accepted set of names for the months. Many people just leave the months numbered; some communities may have local names for them. Other than the new year on moon 1 day 1, there is also no universally accepted holy day, civic day, or any other sort of event.
The lunar cycle is standard and is 30 days long; the new moon is on day 1 of a moon, and the full moon on day 16. There is no concept of rotating seasons; in this new world, seasons are locations and the same season lasts year-long on a particular plate.
Old world communities that have not contacted the natives likely do not know the calendar system used here. They may have carried the calendar system from the old world (which will be coincidentally correct in structure), but their date will likely be different from the date used by natives.
Cliffside Point, having numerous scholars, requires a method of timekeeping. It has not yet made contact with the outside world, so its population uses a temporary date system to keep track of time for their own purposes. They use the old world system, but with a different epoch. They count the Calamity as the new year; the years are prefixed by "N" to indicate "new". For example, it is around 6 moons after the Calamity, so it is moon 7 of the year N1.



Ziggy
" can't stop laughing Oh this is all so, SO cute."