"set down in musical notation," 1871, a back-formation from notation, or else from Latin notatus, past participle of notare "to mark, note, make a note," from nota "mark, sign, means of recognition" (see note (n.)). Related: Notated; notating.
1560s, "explanation of a term" (a sense now obsolete), from French notation (14c.) and directly from Latin notationem (nominative notatio) "a marking, notation, designation; etymology; shorthand; explanation," noun of action from past-participle stem of notare "to note" (see note (v.)). Meaning "a note, an annotation" is from 1580s. Meaning "system of representing numbers or quantities by signs or symbols" is attested from 1706. Related: Notational.
c. 1300, "a song, music, melody; instrumental music; a bird-song; a musical note of a definite pitch," from Old French note and directly from Latin nota "letter, character, note," originally "a mark, sign, means of recognition," which traditionally has been connected to notus, past participle of noscere "to come to know," but de Vaan reports this is "impossible," and with no attractive alternative explanation, it is of unknown origin.
Meaning "notice, attention" is from early 14c.; that of "reputation, fame" is from late 14c. From late 14c. as "mark, sign, or token by which a thing may be known." From late 14c. as "a sign by which a musical tone is represented to the eye." Meaning "a brief written abstract of facts" is from 1540s; meaning "a short, informal written communication" is from 1590s. From 1550s as "a mark in the margin of a book calling attention to something in the text," hence "a statement subsidiary to the text adding or elucidating something." From 1680s as "a paper acknowledging a debts, etc." In perfumery, "a basic component of a fragrance which gives it its character," by 1905.
<a href="https://www.etymonline.com/word/notate">Etymology of notate by etymonline</a>
Harper, D. (n.d.). Etymology of notate. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/notate