peacefulness vs quietness

peacefulness and quietness both are nouns.

Word	Noun	Adjective	Verb	Adverb
peacefulness	Yes	No	No	No
quietness	Yes	No	No	No

As nouns, quietness is a hypernym of peacefulness; that is, quietness is a word with a broader meaning than peacefulness:

Other hypernyms of peacefulness include quietude, tranquility, tranquillity.

peacefulness (noun)	quietness (noun)
the absence of mental stress or anxiety	the property of making no sound
a state that is calm and tranquil	a state of peace and quiet