compose vs counterpoint

compose is not a noun while counterpoint is a noun.

Word	Noun	Adjective	Verb	Adverb
compose	No	No	Yes	No
counterpoint	Yes	No	Yes	No

As verbs, counterpoint is a hyponym of compose; that is, counterpoint is a word with a more specific, narrower meaning than compose:

compose (noun)	counterpoint (noun)
	a musical form involving the simultaneous sound of two or more melodies

compose (verb)	counterpoint (verb)
make up plans or basic details for	write in counterpoint
produce a literary work	to show differences when compared; be different
write music
put together out of existing material
calm (someone, especially oneself); make quiet
form the substance of