BTW, in the period when the machine was built the Romans (and their satrapies) did not yet use a leap year in their calender, and unless you account for the 1/4 year drift each year you end up with your calendar out of synch. The machine accounted for that 1/4 year problem.
See post 90. The ancients were fully aware of that "drift", and had several methods of compensating for it.