so whats a Contrarium?
well its a word i made up! cuz you can do that, wild right? ive spent years trying to find the right word to describe my gender, and nothing ever fit 100%… so i made one! and that's Contrarium.
whats it mean? well its kinda like, reverse bigender. someone whos bigender is two genders at the same time, whereas someone whos a Contrarium is two genders in a way that cancels out. this leaves the Contrarium as having a gender very similar to someone whos agender but with a few extra steps.
like this meme

I'm the same as if i was just agender, but there was another step here. a process has occurred and any term that doesn't acknowledge that doesn't fit. so now there is this one :]
now why is the term Contrarium? well for one because i want it to be something _____gender. so i took contrar- from the word contrary and added on the Latin neuter suffix -ium. and there ya' go, Contrarium.