musing vs consideration

musing and consideration both are nouns.

Word	Noun	Adjective	Verb	Adverb
musing	Yes	Yes	No	No
consideration	Yes	No	No	No

As nouns, consideration is a hypernym of musing; that is, consideration is a word with a broader meaning than musing:

musing (noun)	consideration (noun)
a calm, lengthy, intent consideration	a considerate and thoughtful act
	kind and considerate regard for others
	the process of giving careful thought to something
	information that should be kept in mind when making a decision
	a discussion of a topic (as in a meeting)
	a fee charged in advance to retain the services of someone

musing (adjective)	consideration (adjective)
deeply or seriously thoughtful