As nouns the difference between consulate and interrex
is that consulate
is the residency of a consul while interrex
is (history) an official in ancient rome, who acted as single head of state during the interregnum between two consulates.
The residency of a consul
In practice, an office of a government in a foreign city that oversees the distribution of visas and provides assistance to nationals.
(history) An official in Ancient Rome, who acted as single head of state during the interregnum between two consulates.
(history) An equivalent regent from the death of a Polish king till the election and enthronement of his successor.
(figuratively) A similar interim ruler, CEO etc.