hmm, this is a great question. i’ll be honest and say that there is no strict delineation for traits and stuff as there is for the hogwarts houses, so likening them will be hard, but i will try for you!! i think the fire house would be the closest thing to slytherin that elysium has. they don’t carry the same kind of snooty, holier-than-thou or even bad guy image but they definitely could be considered the darker house full of cunning and very goal-oriented people primarily. like even their physical house/dorm has that kind of looming elegance that slytherin had, you know? then the earth house would be gryffindor — grounded, strong, trustworthy. earth house students are probably known to be honest as hell. then, you have the air house which is considered to be filled with people who, no pun intended, have their heads in the clouds. they can be very distracted, scatterbrained people, curious about a million different things at once but that doesn’t make them any less formidable people. so i would liken them to ravenclaw. and finally the water house would obviously be hufflepuff, but i don’t know, the comparison isn’t exact. i see the water house students as having a reputation for being very unpredictable but reliable people at the same time. they probably are also known to be incredibly passionate and intense personalities but all the same, they return to that same reliability and dependability. but like you said this would all be stereotypes so big big disclaimer that if your character DOESN’T fit into this, there is nothing wrong with them. there’s no need to make a correlation between an element / house and a muse’s traits if you don’t want to! this is all about what outsiders looking in assume about a student based on their house and honestly, i’d love to see characters that stray away from this! it would be a super interesting thing for them to tackle, having so many people look at them sideways because they don’t fit the stereotypes. hope this helped!