Here's the breakdown, Chase!
Purple with blue polyp cap (M. undata?)
ORA German Blue Digi
Green Star Polyps
3 kinds of zoas on 2 rocks (some green, some yellow, some orange)
Green hammer
Purple tipped frogspawn
Tank was at 80.4 degrees with a SG of 1.026 and a pH of 8.3.
Other parameters (in case you want to know) are calcium 450, alkalinity 3.0 meq/l, nitrate 0, phosphate 0. The 4 stony corals you got (hammer, frogspawn, and the 2 montiporas) use calcium and alkalinity to build their bones (skeleton). They pull calcium and carbonate from the water in order to grow. That is why I measure it to make sure there is enough in the water for them to grow.
The lights you have on that 1/2 20 gallon tank should be great for all those corals. I'll bet they all do fine.