So I've tried to match Harry potter houses to Pi, Ji, Pe and Pe, and have tried to go further.
But the more I try to match them the more I find myself running into dead ends, mismatching information and I get confused.
I'd like to hear what you guys think.
I'd say Slytherin could either be Pi or Je, as they have a fascination with old relics and the past, which sounds pretty much like Pi, specifically Si. However they are also ambitious, strong leaders and will use any means to achieve their ends, which sounds like Je. The cunning aspect of their personality also sounds Pe, but they aren't as open to new experiences. Not sure if they are Fe or Te as they value brotherhood and fraternity, but they are cerebral and cold.
I am not sure if Gryffindor is more Je or Pe, because I find similarities between their personality traits and the Hero myth of Fe. I see Pe in them as well, as they would want to be remembered for their adventures, but then in other places they are called stubborn and have a strong sense of right and wrong, so either Ji or Je not sure. They are also more biotic than abiotic.
For Hufflepuff, I'm not sure if they are Pi or Ji. I think their sense of familiarity and comfort sounds quite Si and their loving kindness and work ethics sound like Fe. But the myth of Sacred Life of Fi may also correlate, though I feel Hufflepuff plays it safe and isn't as authentic as Fi, being more focused on group harmony and avoiding discord. They also seem more biotic, they love animals and plants and taking care of people.
Ravenclaw I'd say is either Ji, Pe or both. They seem to value knowledge for its own sake. I thought this might be linked to Pi which has the archetype of a wise man, but the personality traits of Ravenclaw seem a lot more Pe, especially Ne, when it comes to the attainment of new information. They are also quirky and eccentric, which strikes me as Ji,  but more focused on abiotic information which might make them Ti.
So let me know your thoughts and if you can help me pull together a proper correspondence?
I tried to correlate them to the four quadrants, but its way too inconsistent in my opinion.