sameness vs equality

sameness and equality both are nouns.

Word	Noun	Adjective	Verb	Adverb
sameness	Yes	No	No	No
equality	Yes	No	No	No

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

sameness: the quality of being alike
equality: the quality of being the same in quantity or measure or value or status

Other hyponyms of sameness include identicalness, identity, indistinguishability, similarity.

sameness (noun)	equality (noun)
the quality of being alike	the quality of being the same in quantity or measure or value or status
the quality of wearisome constancy, routine, and lack of variety	a state of being essentially equal or equivalent; equally balanced