User blog:GamesFan2000/My attempt at ordinal notation (probably failed hard)

What you will see in the link below is my attempt to build an ordinal notation. I'm not going to say that my comparisons are accurate beyond a certain point, so if anyone can confirm where certain ordinals fall within this notation, I'd appreciate it.

https://docs.google.com/document/d/12HthN-41E---ZwOer1kHuw7YNySropEtO5x4P6bzf9o/edit?usp=sharing