What you choose to label yourself, and what society defines the labels as are two different things. Whatever suits you is fine, I was just giving the accepted definitions.
This has gotten a little heated. Sorry, guys, but I'm afraid I have to lock this for now.
Except society's definition is changing because people like me are changing it. I'm part of society, as are other bi people that are attracted to more than two genders. Saying bisexual means only attracted to the binary is factually wrong, because thousands of bisexual people, like me, are attracted to more than two genders.