set down vs notate

set down and notate both are verbs.

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

As verbs, notate is a hyponym of set down; that is, notate is a word with a more specific, narrower meaning than set down:

Other hyponyms of set down include transcribe, dash down, dash off, note, take down.

set down (verb)	notate (verb)
put down in writing; of texts, musical compositions, etc.	put into notation, as of music or choreography
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