Time is slightly fluky between the Seventh Path and the Human Path. The day on the Seventh Path is usually a bit longer than on the Human Path, but sometimes it's a little shorter. There is also a slight variability between time on the two planes. Conveniently, this variability works out to exactly the right amount of variance such that the QMs don't have to keep exact track of the relationship. It's a very convenient happenstance. None of the clans to whom you have access have an almanac. Hazō can manage on-time check-ins with no problem, although he has a strange feeling that he might lose the ability to do that were the Kami Lords to need too much aspirin as a result of in-depth investigation of, or attempts to munchkin, any of the temporal shenanigans related to the two Paths. He also suspects that in such a situation he might lose a lot more than the ability to do on-time check-ins, if you catch my drift.
(This eloquent formulation brought to you by @eaglejarl, because I couldn't bear not to give due credit.)