annotation vs commentary

annotation and commentary both are nouns.

Word	Noun	Adjective	Verb	Adverb
annotation	Yes	No	No	No
commentary	Yes	No	No	No

As nouns, commentary is a hypernym of annotation; that is, commentary is a word with a broader meaning than annotation:

annotation: a comment or instruction (usually added)
commentary: a written explanation or criticism or illustration that is added to a book or other textual material

Other hypernyms of annotation include comment.

annotation (noun)	commentary (noun)
the act of adding notes	a written explanation or criticism or illustration that is added to a book or other textual material
a comment or instruction (usually added)