Isn't Shiny Chance 1 in 4096 (and use to be 8192 before that)? It only gets lower via other methods (Shiny chance is 1 in 512 in Friend Safari, Halved with shiny charm, decreases even more via SOS, decreases while Masuda Breeding, may lower through ultra warp ride, and a few other ways) :P
Of course most of those aren't in B/W/B2/W2, but what lowers shiny odds to 512 here? Or have I misunderstood?