generally accepted sorority rankings

In order

Pi Phi - Beautiful, involved, and relatively nice
Kappa/Chi O - Kappa is on its way down (getting a bad reputation for being snobby and entitled), ChiO is beautiful, smart, involved, and generally nice
Theta - Can't make heads or tales of Theta. They have some really involved girls but they also think they're hotter than they are which gives off a really uncomfortable vibe. They've also been known to snitch on other sororities.
SDT/Phi Mu - Sort of a tie. MANY MANY girls had these two on preference night. They're of different breeds though. SDT tends to be a little more chill, frats like them because they're fun and kind of bros. Phi Mu is a little more uptight but honestly got a really nice pledge class this year. They have a good sisterhood but can be awkward sometimes.
ADPi - Good sisterhood. Honestly they have some really great looking girls and they do a good job with their social calendar. They've got a long way to go though unfortunately.

I don't know where to put AEPhi.

The rankings have gotten a lot closer with each other. There are definitely 2 types of sorority at Tulane: the party sororities (generally Kappa, AEPhi, SDT) and the extremely involved sororities (PiPhi, ChiO, Theta, Phi Mu, ADPi). As a result they're sort of in their own leagues and attract different types of girls. As a result, more "ties" between the sororities, because they may be different "types" but have the same ranking within their type.