User blog comment:MachineGunSuper/The X Hierarchy/@comment-32783837-20171221011552

This really doesn't seem to follow a significant pattern the whole way through. Looks like a complete salad.

ω does something separate from any finite ordinal,  ω+n and beyond follow the same pattern... until  ε0, where all the exponents are changed to n ↑n n, because reasons.

Generally, it doesn't make any sense.