User blog comment:Primussupremus/Array notation from my website endless possiblities./@comment-73.220.135.34-20170712145850/@comment-73.220.135.34-20170712161729

It's better than your previous notations. Each step actually gives it a power boost. Here is my analysis:

{a,b,c} has fgh  ω

{a,b,c,d} has fgh  ω +1

{a,b,c,d,e} has fgh  ω +3

{a&b} has fgh  ω 2

{a(b)a} has fgh  ω 3

{a++:(b)} has fgh  ω 4

{a ↑(ω):(b)} has fgh  ω2

{a ↑(K):(b)} has fgh  ω K where K is the ordinal