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* Nullary: A system in which no gender categories exists. Or a conceptualization of gender that is not linked to any arity at all.
* Unary/monary: A system in which one gender category exists.
* Binary: A system in which two gender categories exist. It is most commonly understood to be male and female, and is present in Western cultures. The
* Trinary/Ternary: A system in which three gender categories exist. It is most commonly understood to be male, female, and a [[Third Gender|third gender]], [[neutral]] gender, or [[androgynous]] gender. The term [[atrinary]] derives from this, showing a gender that is unrelated to the gender trinary. It is present in many ancient cultures, such as ancient Sumerian texts.<ref>https://en.wikipedia.org/wiki/Third_gender#History</ref> Trinary systems are also present in some indigenous cultures.
* Quadnary/Quadrinary/Quaternary: A system in which four gender categories exist.
* Quinary/Quinternary: A system in which five gender categories exist. It is present in traditional Bugis culture.
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