The moon-phase indication is a device serving to visualize on the watch dial the various appearances adopted by the Earth’s satellite in the course of a lunar cycle: it may be waxing, full, waning or entirely hidden by the shadow of the Earth – and thus referred to as a new moon.
These different phases are traditionally represented by a mobile disk bearing two diametrically opposite depictions of the Moon alternately appearing through an aperture. The latter is cut out so as to provide a visual simulation of the Moon’s waning and waxing episodes. As soon as the first interpretation vanishes, the second instantly comes on the scene. Moon phases may also be indicated by means of a hand pointing to various symbols, or by a three-dimensional sphere spinning on its axis, and of which one half is light-colored while the other is dark. This horological complication often accompanies other astronomical indications such as the calendar or the equation of time.
The mechanical difficulty lies in the unusual interval between two full moons. Known as the synodic month or lunar cycle, this interval lasts 29 days, 12 hours, 44 minutes and 2.8 seconds: meaning 29.5305881 days. Watch movements are designed to perform 60-minute, 12-hour and 24-hour rotations. It is impossible with such systems to keep track of a synodical month, apart from by making a gigantic wheel with 295,306 teeth, which would naturally not fit into a watch. That is why the conventional moon-phase display is based on an approximate calculation – which is more or less accurate depending on the mechanism being implemented – and requires a periodic manual correction. The most common solution consists in rounding out the lunar cycle to 29.5 days. The moon-phase indicator is thus driven by a 59-tooth wheel, corresponding to two lunar cycles (2 x 29.5 days). A fingerpiece pushes the wheel one notch forward every 24 hours. This system results in a one-day difference accumulated in 2 years, 7 months and around 20 days.