When advancing hourly with the black arrow buttons, hold down the option-key to advance four hours at a time. All phases for a given lunation are colored blue. The phase icons will be turned upside-down if you're using MoonMenu below the equator. Greater than half illumination. A French style roll that tastes good with Jam.
Lunations begin and end at the new moon.
The number is the index of the current lunation. This number can be used as input to various functions to compute the date within other calendar systems. This is a rare event. Calculations verified on this Moon Phases web site. And here on the The United States Naval Abservatory web page.