formal vs ceremonial

formal and ceremonial both are nouns.

Word	Noun	Adjective	Verb	Adverb
formal	Yes	Yes	No	No
ceremonial	Yes	Yes	No	No

formal (noun)	ceremonial (noun)
a gown for evening wear	a formal event performed on a special occasion
a lavish dance requiring formal attire

formal (adjective)	ceremonial (adjective)
being in accord with established forms and conventions and requirements (as e.g. of formal dress)	marked by pomp or ceremony or formality
(of spoken and written language) adhering to traditional standards of correctness and without casual, contracted, and colloquial forms
refined or imposing in manner or appearance; befitting a royal court
logically deductive
represented in simplified or symbolic form
characteristic of or befitting a person in authority