Primal's Spheres?

I heard it mentioned before that Ifrit's sphere contained domination, which was why he's more temper-happy than most primals, and that Ramuh had reconciliation in his. This seems to indicate what they're "the god of". Did we ever hear anything about the other primals?

If memory serves me right, Garuda's "sphere" is destruction.

No idea on the other ones, though, besides the ones you've already listed.