Exponent is to exponentiation as _______ is to tetration

Would it be tetrand, tetrant, or something else?

• Not sure people care too much about this. Why do you need this? Perhaps just adopt a word and go with it. – Pedro Tamaroff Dec 13 '18 at 14:51
• See Tetration : "The parameter $a$ may be called the base-parameter, while the parameter $n$ may be called the height-parameter." – Mauro ALLEGRANZA Dec 13 '18 at 14:53
• @PedroTamaroff I don't need it, I find nomenclature itself interesting. – Griffin Dec 13 '18 at 14:57
• FYI, I've called it the tetrated exponent in some early 2000s sci.math posts. – Dave L. Renfro Dec 13 '18 at 14:59
• @PedroTamaroff: people who care about tetration probably do. Just like people interested in symplectic geometry care about symplectic forms. – Yves Daoust Dec 15 '18 at 11:56

(By this I consequently don't like/use the term "super-log()" or "slog()" for the function which tells us the required height of iteration from one $$z_0$$ to $$z_h$$ but use simply $$\text{hgh}()$$ as that function in article and software)