IPA: //ˈpraɪmeɪtʃɪp//
KK: /ˈpraɪˌmeɪtʃɪp/
The position or rank of a primate, which is a high-ranking church official or leader.
The archbishop held the primateship in the church, overseeing all other bishops.
Primateship is formed from "primate" (from Latin "primat-, primus", meaning first or chief) and "-ship" (meaning the state or condition of). The word refers to the state of being a primate or the condition of being first or chief among a group.
Think of 'primate' meaning 'first' or 'chief' and '-ship' indicating a state or condition. This helps you remember that 'primateship' refers to the condition of being a leading or chief primate.