The quality or state of being a consul; the rank, office, or authority of a consul.
From 'consular' (adjective relating to consuls) + '-ity' (state or quality). This abstract noun describes the essential characteristics of being a consul.
When medieval and early modern diplomats first became official consuls, they actually had to claim 'consularity' in new places to prove they had the authority to represent their government—it was basically the birth of modern diplomacy.
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