Let's see, you're making rules for your world. So, why not add a few more days? I think everyone else still in the OctoPrep challenge would approve of the change. After all, you're in charge.

Here's an idea:
In Ancient Egypt: each month was divided into three 10-day periods known as decans or decades. It has been suggested that during the Nineteenth Dynasty and the Twentieth Dynasty the last two days of each decan were usually treated as a kind of weekend for the royal craftsmen, with royal artisans free from work.

Also, one calendar redesign came after the French Revolution; revolutionaries decreed the first year of the revolution as year 1, and they made the week 10 days long. This calendar endured for more than a decade, lasting until Napoleon crowned himself emperor.

Or, you could make the sun stop for a few days. Work on that. And let me know how that works out for you.
NJ