pureness vs cleanness

pureness and cleanness both are nouns.

Word	Noun	Adjective	Verb	Adverb
pureness	Yes	No	No	No
cleanness	Yes	No	No	No

As nouns, cleanness is a hyponym of pureness; that is, cleanness is a word with a more specific, narrower meaning than pureness:

pureness: the state of being unsullied by sin or moral wrong; lacking a knowledge of evil
cleanness: without moral defects

pureness (noun)	cleanness (noun)
a woman's virtue or chastity	the state of being clean; without dirt or other impurities
being undiluted or unmixed with extraneous material	without moral defects
the state of being unsullied by sin or moral wrong; lacking a knowledge of evil