User blog comment:Edwin Shade/Zenzizenzizenzic Array Notation/@comment-80.98.179.160-20171224185259/@comment-30754445-20171228164426

Well, nearly every googological notation is just a masked variation of the FGH.

Every notations needs some way to "count" the recursions it is doing, and there's only one way to count: step 5 always comes after step 4. The limit of 1,2,3... is always ω. And so on.

Sure there may be some variations at the lowest levels. But once we're past (say) ω^ω, all googological notations become an exercise in notating ordinals. And since there's only one possible scale of ordinals, all notations are pretty much clones of one another at this level.

Not only they are all structured in the same way, but they all give outputs of similar size: fω↑↑3(10), Bower's {10,10 (10) 2}, Saibian's E10#^#^#10, My Q3... they are all numbers with a very similar structure that expand in a nearly identical way.