initiation vs ceremonial

initiation and ceremonial both are nouns.

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

As nouns, ceremonial is a hypernym of initiation; that is, ceremonial is a word with a broader meaning than initiation:

Other hypernyms of initiation include ceremonial occasion, ceremony, observance.

initiation (noun)	ceremonial (noun)
the act of starting something for the first time; introducing something new	a formal event performed on a special occasion
an act that sets in motion some course of events
wisdom as evidenced by the possession of knowledge
a formal entry into an organization or position or office

initiation (adjective)	ceremonial (adjective)
	marked by pomp or ceremony or formality