
and are the 122-year variant. The Duometers are, like the Master Calendar and the Duometers, 59 teeth.
-Dean
Quote:
That new movement was not to have any ordinary moon phase indication. Traditionally, most watch companies used what is called a 59/2 wheel ratio, since that shows a new Moon every 29.5 days and is relatively close to the "true" 29.53 day moon phase cycle. However, a 29.5 moon phase gearing produces an error of the moon phase being "off" one day every three years. That traditional 59/2 gearing also was what IWC used in its Ref. 5250 pocket watch and the Ref. 5251 Portofino Moon phase.
But for his new movement - first used in what is known as the Da Vinci perpetual - Kurt Klaus wanted to achieve even greater accuracy. Because all date functions were integrated, it would be difficult to correct the watch calendar, especially only the moon phase indication, every three years. Consequently, a much more complex gearing was developed and the new movement showed a new Moon once every 29.53125 days, or remarkably an error of one day in every 126 years!
Here is a more detailed article:
Before the days when computers were used for movement design, using a calculator Klaus developed a different gearing approach for the moonphase. Instead of one 59 tooth wheel that resulted in 29.5 day cycles, a series of wheels would produce a 29.53125 day cycle. The specific formula was:
This produced a difference between the synodic month and the indicated moonphase of .00066 days or 57.024 seconds. As a result the moonphase indicator would be "off" one day approximately once every 126 years. The precise gear design would be the following: