initiative vs initiatory

initiative is a noun but initiatory is not a noun.

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

As adjectives, initiative and initiatory are synonyms defined as:

Other synonyms of initiative include first, inaugural, maiden.

initiative (noun)	initiatory (noun)
the first of a series of actions
readiness to embark on bold new ventures

initiative (adjective)	initiatory (adjective)
serving to set in motion	serving to set in motion