What's the noun for primatical? Here's the word you're looking for.
primate
(ecclesiastical) In the Catholic Church, a rare title conferred to or claimed by the sees of certain archbishops, or the highest-ranking bishop of a present or historical, usually political circumscription.
“Under the guiding logic of these complex dualisms, western primatology is simian orientalism.”
“These are just a few examples of the rich additions that behavioral primatology can make to understanding the human condition.”
“Cultural primatology, the study of how socially learned behavior varies between different communities of the same nonhuman primate species, is a hot topic.”
“It's well known among primatologists that the number of males within a group of, say, baboons, chimpanzees, or lemurs is related to the number of females.”
“But despite being the subject of numerous now-obscure nineteenth-century reports, this small, nocturnal, gremlin-like prosimian long went unexamined by primatologists.”