But the moon phase runs off of the hour pipe and not the date advance mechanism. The correct instructions for setting are to advance to a full moon by turning the crown in position 2 (time setting). Then set to the most recent prior date of the full moon with the crown in position 1. Then to advance
All were taken at the Interval bar in San Francisco. It is a cool bar. And is also home of the Long Now foundation. They encourage long term thinking. Also one of their projects is working to build s 10,000 year clock. I believe the orrery in the photos is a model of the eventual clock.