The problem of Ciallos
This calendar has been documented here quite well, but the former writeups in this node fail to address the fact that the intercalary year does not completely correct the calendar such that it aligns perfectly with the solar year; even with an intercalary 30 day month every 2.5 years, there is still drift between the Coligny calendar and the solar year; without the correction, the calendar is 11.25 days short. With the intercalary month, the average year's length is 366, which overcompensates 0.75 days per cycle. In ten years, this is a 7.5 day drift. In a lifetime, the calendar will drift forward two entire months.
One moon cycle lasts 29.5 days -- there are six 29 day months, and six 30 day months. In total these lunar months average to 254 days in a lunar year -- here is the 11.25 year discrepancy between the lunar and solar year. To calculate the offset of the discrepancy, I used the following calculations:
My calculations
(Days
…