User blog comment:Hyp cos/Analysis - BEAF, FGH and SGH (part 3)/@comment-2001:56A:71A8:5F00:DDA5:1D1E:2F03:183E-20180624023938

Conjectures:

1. The limit of trio sequence BMS is C(W_w) in the catching function.

2. If C(W_w) = psi(X) for some large cardinal X, then the limit of quad-sequence BMS is C(X).

3. The limit of n-row BMS is the first ordinal that C(x) and psi(x) are equivalent. (described by hyp cos as being "really, REALLY, large!")