unmusicality vs unfitness

unmusicality and unfitness both are nouns.

Word	Noun	Adjective	Verb	Adverb
unmusicality	Yes	No	No	No
unfitness	Yes	No	No	No

As nouns, unfitness is a hypernym of unmusicality; that is, unfitness is a word with a broader meaning than unmusicality:

Other hypernyms of unmusicality include inability.

unmusicality (noun)	unfitness (noun)
The state or condition of being lacking in musical ability.	the quality of not being suitable
	lacking the power to perform
	poor physical condition; being out of shape or out of condition (as from a life of ease and luxury)