plan vs compose

plan is a noun but compose is not a noun.

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

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

plan (noun)	compose (noun)
scale drawing of a structure
a series of steps to be carried out or goals to be accomplished
an arrangement scheme

plan (verb)	compose (verb)
make plans for something	make up plans or basic details for
have the will and intention to carry out some action	produce a literary work
make or work out a plan for; devise	write music
	put together out of existing material
	calm (someone, especially oneself); make quiet
	form the substance of