The Wheel in the Sky is best described in Syriac Enoch. It honors sun, moon, and Sabbath. Sun, there are 365 days; moon, there are months every 29-30 days; Sabbath, there are uninterrupted weeks. The fourfold and eightfold division of the year exists in Judaism as a tekufah.

The key to understanding is that God is deliberately fuzzy with his numbers so that he can have irrational inserts at his pleasure (e.g. leap years). The teaching numbers are that the year is about 360 days, the month about 30 days, and the week about a quarter-month. Those are the symbolic and accurately rounded numbers. The extra days are then used for all the fun correlations that people find along the way. This means that any calendar that comes close, including the Gregorian, can be honored culturally; but we are to make up for its deficiencies by observation. Since the Gregorian is solar rather than lunisolar, we have a responsibility to track new moons separately.