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Re: Smooth running of Revision of Two Gear/Two Peg Lunisolar Device

by Brillig :: Rate this Message:

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Dear Karl and Calendar People,

Another option would be to introduce another gear intended to allow a daily manipulation of the device. A gear with ratio 9:14 would be ideal, producing a month length of 29 5/9 days, which is just slightly too long. The 14-tooth wheel would be moved one tooth per day (moving the 9 tooth wheel 9/14 tooth per day) until the next new moon. Approximately once every 3 years, this gear would need to be slipped one tooth to realign with the new moon. This is far enough apart that visible eclipses could be used for the resetting. Lunar eclipses are more frequent than solar eclipses, so I would suggest the full moon rather than the new moon be used to drive this device.

Victor

On Thu, May 21, 2009 at 7:11 AM, Palmen, KEV (Karl) <karl.palmen@...> wrote:

Dear Victor and Calendar People

 

Rather than moving the moon wheel one complete revolution at the new moon (or start of lunar calendar month), turn it one tooth at a time throughout the lunar month. This would give a more accurate indication of the season by the sun wheel.

 

I’ve thought of a way of doing this. For the 28 days after a new moon (or start of the lunar calendar month), turn it one tooth each Monday, Tuesday, Thursday, Friday and every other Saturday. Over these 28 days the wheel will turn 18 teeth regardless of what day of the week the 28 days begin. Then at the next new moon turn the wheel by one more tooth to complete its turn and lunar month. If the small peg has moved this month, the wheel is then rotated by two more teeth to complete the lunar month.

 

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




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