Calendar months and lunar months.
Lunar months are fun. First the moon is near the sun but not visible. Then after sunset a sliver of the moon shows up. In two weeks (about) the full moon shines bright. With some exceptions. Cloud cover at camp rules. Also best viewing of the full moon is in the hours near and after midnight. That is called typical bedtime.
In the winter on my five to six AM walk I do see the last sliver of the moon before NEW MOON.