What is the measurements for "petty?" Too many variables, so I will just narcissistically run off some deal breakers;
Intelligence is a must, cannot stand airheaded company...the conversations are dreary. But I don't mean IQ, I mean a more general understanding of the world, people, not loving and watching the kardashians and not being a complete idiot. Once, I strayed from this, it was a silly choice.
Holding any particularly ignorant views while not willing to try and understand things from a wider perspective. Is that petty? I don't know.
If they have no love for animals but adore human baby cubs. I find that type of mind worrying and distracting, attempting to understand it only brings shivers and nightmares. I am not a furry object!
Umm, I find great distaste (pardon the pun) in people that eat with tbeir mouth open noisily sloshing and smacking their lips. It does something weird to me, the sound seems to strongly trigger psychotic murdering sprees in my brain, illogically, like the well known fingers scraping down chalk boards reaction. Though this can easily be reasoned with a compromise reached by merely talking to them like a real person, so as long as it isn't a personal choice to continue, and if they are indeed real, then we may still be joyful friends. In fact, a previous partner did do it a while ago, but I felt too dickish to bring it up. Luckily it was only a rare occurrence for whatever reason, but it didn't stop that little cunty psycho mind within, screaming "whhhhyyyyyy???"
Cockney accents...though that isn't set in stone, it may change in the future, but currently they are abrasive against the ear judges. Also it is usually something that isn't only discovered mid-relationship unless you're into kidnapping your future partners.
There are probably more, the pickiness with personalities is a deep old well to mine.