Pistonfister beat me to the punch.
As far as I've seen and heard it doesn't matter. If you want to get exact, there are moonlight software programs that exactly replicate the moon cycle from Full Moon to New Moon, including those nights when the moon is absent because it was up during the day. Until we see more evidence of SPS coral spawning in our aquariums, the main purpose for moonlights seems to be for the look and fun of it!
I'm surprised that in your research you didn't discover this information.
Edited by Mark Peterson