I think of phytoplankton as photosynthetic (autotrophic) plankton.
Reef tanks don't have diatoms, dinoflagellates, cyanobacteria, etc. floating in the water? To be fair, I should have also asked how many of these things per mL do you think are floating around that you consider not many.
For my fish only system, I count 25-100 dinoflagelates per mL and 25 diatoms per mL. That's just two species, presumably photosynthetic by their color. There are more of the "œother" green and golden brown things. I get the count by centrifuging 500 mL tank water at 4000 rpm for ten minutes and resuspending the pellet in a small known amount of tank water for a count. This could even be an underestimate because of the short centrifuge time. My tank's skimmate contains tens of thousands per mL.
So was your estimate based on gut feel or do you know of someone actually counting the organisms in a reef system?