User blog comment:PsiCubed2/For Newbies (and Veterans too): The Great Scale of Googology/@comment-25337554-20171216063734/@comment-30754445-20171216172022

Yes to the first question, and no (for now) to the second question.

Alll previous attempts to create a continuous function with some grand universal formula (from the Mashimo Scale to my Letter Notation) resulted in an extremely uneven scale, so I feel like defining every level manually is the only viable alternative.

And actually, instead of interpolating, I was thinking of zooming out. By dividing all the levels by 10 and rounding down, we get a nice big picture:

0: up to ω (up-arrow notation)

1: up to ω2 (Bowers arrays with 4 numbers, Chained Arrows)

2: up to ωω (Bowers Linear Arrays)

3: up to ω↑↑3 (Bowers Dimensional Arrays)

4: up to ε0

5: up to ε1

6: up to ζ0

and so on.