  Extending results of arXiv:1112.3984, we show that all rank 1 N=2 SCFT's in
the sequence H_1, H_2, D_4 E_6, E_7, E_8 have canonical finite BPS chambers
containing precisely 2 h(F)=12(Delta-1) hypermultiplets. The BPS spectrum of
the canonical BPS chambers saturates the conformal central charge c, and
satisfies some intriguing numerology.
