Blackcat2, thanks for the good wishes. Happy whatever to you, too.

So far as I'm aware, the new-moon style of lunation is, or was, used among the heathen at least as much as the full-moon style. The ancient Babylonians, Egyptians, Greeks, and probably Romans all used a new-moon lunation. (The Egyptians reckoned from the disappearance of the waning moon, the Babylonains from the appearance of the new crescent.) Some of the Chinese also seem to use the new-moon style. I'm not sure about the lunar calendars of India, but I wouldn't be surprised, in such a large diverse area, to find both styles of lunation, if not also some systems that use the sidereal instead of or in addition to the synodic month (i.e., a system which paid attention to the moon's position in the zodiac, rather than its phase.)

So, there's all kinds of ways. T.