334-year cycle from Revision of Two Gear/Two Peg Lunisolar Device

Dear Victor and Calendar People

This revision can be modified simply to give a 334-year cycle.

Instead of moving the peg(s) every 19 years (when the marked teeth meet), move the peg(s), when the marked tooth of the sun wheel meets the short peg.

This will usually be one every 19 years, but after the small peg has moved, it’ll occur again after just 11 years. This would then give rise to a 334-year cycle.

The 11 years have 11 rotations of the sun wheel 11*235=2585 teeth equal to 136 rotations of the moon wheel plus one tooth from the small peg move, which is 136*19+1=2585 teeth.

Karl

10(08(27

Dear Karl, Irv and Calendar People,

OK How about this device and operation, which I think is a bit more straightforward.

There is a 235-cog gear with one mark near one of the cogs indicating the start of a year.
There is a 19-cog gear with 19 holes used to contain two pegs.
The two gears interlock and are adjusted relative to each other by rotating the 19-cog gear clockwise.
The pegs consist of one short peg moved rarely, and a long peg moved frequently. The frequently moved one is longer so it can be grasped even when the short peg is in place. That was my reason for the different lengths of pegs earlier, but I didn't mention it.
Each time the small gear is rotated, it is rotated until the smaller peg is closest to the larger gear. One month is considered to have passed at this point. While the small gear is being rotated, the new year mark on the large gear should be observed. If it passes the point where the small peg finally comes to rest during the rotation, then the large peg is moved one hole counterclockwise. If the small peg is occupying that hole already, it is moved to the spot previously occupied by the large peg, whereupon the large peg takes the spot previously occupied by the small peg.

In this way, the tall peg travels counterclockwise around the gear, and the small peg travels clockwise around the same gear.

By rotating the gear until the small peg aligns with the large gear, adjustments are automatically made by 1/19 month.

Victor