lexicography vs composition

lexicography and composition both are nouns.

Word	Noun	Adjective	Verb	Adverb
lexicography	Yes	No	No	No
composition	Yes	No	No	No

As nouns, composition is a hypernym of lexicography; that is, composition is a word with a broader meaning than lexicography:

Other hypernyms of lexicography include authorship, penning, writing.

lexicography (noun)	composition (noun)
the act of writing dictionaries	the act of creating written works
	musical creation
	something that is created by arranging several things to form a unified whole
	the way in which someone or something is composed
	the spatial property resulting from the arrangement of parts in relation to each other and to the whole
	an essay (especially one written as an assignment)
	a musical work that has been created
	art and technique of printing with movable type
	a mixture of ingredients