User blog comment:Hyp cos/General fundamental sequences for OCFs/@comment-28606698-20171126143145

I have compared two FS-systems - regular and in your style - for the function collapsing weakly Mahlo cardinals, for cases of fixed points: seems regular system provides faster growth in those cases, for example for $$\alpha=\psi_\pi(M_M)$$ with $$\pi=\chi_{M_1}(0)$$ using regular system I got $$\alpha[k]$$  comparable with $$\alpha[k\cdot 2+1]$$ using system in your style. Although in general it does not affects very significantly the scale of generating ordinals.