People have invented many calendars, but there is only one calendar of God. This is described in detail in the Bible. The sun, the moon and the stars were created not only to give us lights, but also to determine time correctly. God's calendar is sensational because it connects nature with time. Also all biblical feasts are bound to the state of the moonlight.
THE BIBLICAL CALENDAR AND THE BIBLICAL FEASTS
The Differences between the Biblical and the Jewish Calendars
Determination of the first visible crescent moon - new light
The Grain (Barley, Wheat) and Fruit Harvest Times in Israel
The Great Sabbath (Shabbat ha-Gadol) on Nisan 10
The Slaughter of the Lambs on the Sabbath, Nisan 14