Re: 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
>
> From: East Carolina University Calendar discussion List  
> [mailto:CALNDR-L@...] On Behalf Of Victor Engel
> Sent: 20 May 2009 23:35
> To: CALNDR-L@...
> Subject: Revision of Two Gear/Two Peg Lunisolar Device
>
> 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