notate vs set down

notate and set down both are verbs.

Word	Noun	Adjective	Verb	Adverb
notate	No	No	Yes	No
set down	No	No	Yes	No

As verbs, set down is a hypernym of notate; that is, set down is a word with a broader meaning than notate:

Other hypernyms of notate include get down, put down, write down.

notate (verb)	set down (verb)
put into notation, as of music or choreography	put down in writing; of texts, musical compositions, etc.
	remove (cargo, people, etc.) from and leave
	put or settle into a position
	cause to sit or seat or be in a settled position or place
	go ashore
	reach or come to rest