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Variable-speed hands

 

I was thinking about the Japanese-style timekeeping over on the AHCI forum: http://ahci.watchprosite.com/show-forumpost/fi-16/pi-5569348/ti-824593/s-0/


He's implementing the variable-length hours in the obvious way, with a 24-hour face and hour indicator blocks that move around to synchronize with the seasonal hour length, since a day is always 24 hours.  I was wondering how hard it would be to have a more normal 12 hour face, with fixed indexes and hands that moved at variable speed.  So in the dead of winter the hands move really quickly from sunrise-to-sunset, and then much slower at night.  

Such a watch would require 2 major complications, sunrise/sunset calculations AND the variable hand speed.  I know we can do the first one, but I don't know about the variable speed.  The naive way to do it, at least to my mind would be essentially to have a stack of horizontally-coupled chronograph trains, each with slightly different gearing and a cam set that engaged and disengaged them as needed, maybe only 12, an average speed for each month.  You'd have to cheat some so that the 12 were in 6 pairs of matched speeds to get the day and night to align.  There has to be a better way, but I can't figure out how to jam a CVT into a watch....

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