Anontrinary or Anonternary is a gender that isn't trinary/ternary (man, woman, and neutrois), but even still, is outside of non-trinary/non-ternary. It uses the prefix a- to show this, although it is not necessarily the same as agender. The difference being that agender is the lack of any gender. Anontrinary people have a feeling of gender, but that gender is not a trinary or non-trinary gender. Anontrinary can be a gender identity on it's own or it can be used as an umbrella term. Some anontrinary people may also identify as transgender.
Anontrinary can include genders (such as xenogenders) that aren't defined how they relate or don't relate to the gender trinary.
The alternate Anontrinary flag was made on January 9 2021 by Fandom user Starfruit110. The flag has shades of teal to represent not being solely 100% female (teal being the opposite of pink, the stereotypical feminine colour), shades of orange to represent not being solely 100% male (orange being the opposite of blue, the stereotypical masculine colour), and black to represent not being solely, 100% neutrois (black being the opposite of white, a colour which is commonly used for neutrality). The reason for the shades of each colour is to differentiate Non-Trinary from Anontrinary and for Anontrinary being outside of the gender trinary, but not Non-Trinary.