Lunar lights are only t make the fish feel comfortable. the oceans are not cave dark at night, this helps simulate that. Actinics are a completely different beast altogether. It is a different spectrum of light that should run simultaneous to your regular day lighting.
My schedule.
actinic, 12k power compact mix 12:01pm-11:00pm.
MH 14K 3:00pm-9:30pm
Lunar leds 10:00pm-12:30 pm.
The overlapping helps prevent a huge change from light to dark which can spook fish.