Recently I decided to re-explore comparisons between BEAN structures and Bird's array notation separators. In short, I found that LX structures (limit or legions, lugions, etc...) actually reaches Bachmann-Howard ordinal. Also my table contain corresponding FGH ordinals. Note that I used 2X instead of X*2 and they are equivalent since X is not an infinity, rather it is just a variable.

Since 09.07.2013, list is dropped to 3 parts to make it more readable:

From 0 to \(\Gamma_0\)

From \(\Gamma_0\) to \(\theta(\Omega^\Omega)\)

Beyond \(\theta(\Omega^\Omega)\)