WordNet records no synonym and no antonym for notate. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
put into notation, as of music or choreography
“Nowadays, you can notate an entire ballet; in the old days, the steps had to be memorized”
Synonyms, antonyms and the broader and narrower relations for notate come from Princeton University’s WordNet. Full sources and licences.