initiatory vs inaugural

initiatory is not a noun while inaugural is a noun.

Word	Noun	Adjective	Verb	Adverb
initiatory	No	Yes	No	No
inaugural	Yes	Yes	No	No

As adjectives, initiatory and inaugural are synonyms defined as:

Other synonyms of initiatory include first, initiative, maiden.

initiatory (noun)	inaugural (noun)
	the ceremonial induction into a position
	an address delivered at an inaugural ceremony (especially by a United States president)

initiatory (adjective)	inaugural (adjective)
serving to set in motion	occurring at or characteristic of a formal investiture or induction
	serving to set in motion