cardinalate vs cardinal

cardinalate and cardinal both are nouns.

Word	Noun	Adjective	Verb	Adverb
cardinalate	Yes	No	No	No
cardinal	Yes	Yes	No	No

cardinalate (noun)	cardinal (noun)
the office of cardinal	crested thick-billed North American finch having bright red plumage in the male
(Roman Catholic Church) the body of all cardinals of the church; elects and advises the pope	a variable color averaging a vivid red
	(Roman Catholic Church) one of a group of more than 100 prominent bishops in the Sacred College who advise the Pope and elect new Popes
	the number of elements in a mathematical set; denotes a quantity but not the order

cardinalate (adjective)	cardinal (adjective)
	being or denoting a numerical quantity but not order
	serving as an essential component