Concurrence requirements (from the walkthrough)

Name Power Lv.1 Lv.2 Lv.3
Inferno 90 3 -- --
Cataclysm 110 7 -- --
Torrent 130 2 3 --
Windburst 155 -- 5 --
Luminescence 175 -- -- 5
Ark Blast 205 2 2 2
Whiteout 215 3 3 3
Black Hole 253 4 4 4

I've gotten all but Ark Blast and Whiteout, I believe.