You could perhaps look at the DCNH system for this question actually, but the issue is it's unclear from an official standpoint to what extent you can just strengthen IE and arrive at the respective DCNH subtypes. You might need to strengthen them in specific ways (like not just strengthen Si/Ni for harmonizing, but do so towards aims that seem harmonizing-oriented).

There's also all the EM type business of tcaud which is unclear how much was derived in conjunction with Gulenko (who cares who derived what, if it adds and makes sense it's fair game).

I think much as with the original Jungian types, 4 functions being somewhat rankable in order of preference, you can have order of preference among the 4 quadras, but I'm not sure that is determined by your official type - it might just depend on an individual.