On the planet of Elixidir, there are two moons which orbit it. One is red and the other is white. The red one is closer to the planet, and it orbits the planet at twelve times the rate of the white one (but in the same direction). The Elixidirs enjoy watching eclipses of the white moon, much as humans enjoy watching eclipses of their sun. The total time it takes for the red moon to orbit the planet once is twelve months. How long (precisely) must the Elixidirs wait in between each eclipse before they can observe another one?