Thanks! Not exactly - the plan is for it to work similarly to the methods described at https://en.m.wikipedia.org/wiki/Determination_of_the_day_of_the_week.
So there will be a month dial with 7 (or more likely 14) positions geared to the month knob, with the months suitably arranged (not in order) around it. Some of the slots will have more than one possible month in them.
The dial for the last two digits of the year will have 14 positions, with leap and non leap years alternating, and again many different years in each position.
In my head I have a fully functional design, although the practicalities won't be easy. Not sure whether I'll actually get it done by the deadline, but in any case it will provide good motivation!
Handling the year 2000 (and 1600 and 2400) presents an extra challenge, since they are leap years, but other years ending in 00 are not. I think I have a solution to this that is actually a bit nicer than the calculating methods listed on Wikipedia. More to come...