In the data files, there are 7 sets of beastcoin-like thingies. Also, there are 5 beast tribe flag things with the national flags, guild logos, and such, each of which matches up with one of the beastcoins/currencies. My personal theory is that they will also each align to an element (with a seventh non-elemental or maybe astral/umbral one), possibly as following:
EDIT: Format is
Currency - Element - Beast tribe (If I can think of one) - Primal (If I can think of one)
Triangular coin - Not sure about element - Maybe that giant dragon? (Bahamut?)
Pendulum-ish coin - Fire - Those Mamool/Ifrit guys (Seen summoning/worshiping/somethinging that Ifrit-esque guy) - Said Ifrit guy
Wooden (I think) coin - Wind or umbral (The insignia looks like a cyclone)
Rock coin - Earth - (Someone said Titan was mentioned or in the dats a while back)
Leaf coin - Lightning - (The insignia looks like a lightning bolt, is in a purple background in the flag section, and I also thought of Ramuh being in a tree)
Shell coin - Water - Sahagin (I think Spira said they were mentioned in-game) - That giant serpent (Leviathan?)
Coin that makes me think of FFXI Troll armor - Ice? Astral? (Very elaborate insignia and design; maybe it's the Garlean Empire's currency)