User blog comment:Googleaarex/FGH Notation/@comment-25418284-20130711050818/@comment-5529393-20130711130802

All of our notations can be considered both large number notations and ordinal notations. Our large number notations (BEAF, BAN, HAN, Dollar etc.) all define a well-founded collection of functions, so we can consider them as ordinal notations where each function is associated with the ordinal equal to the function's rank. Going the other direction, any ordinal notation can be converted to a large number notation by applying the Hardy or fast-growing hierarchy.