normality vs commonness

normality and commonness both are nouns.

Word	Noun	Adjective	Verb	Adverb
normality	Yes	No	No	No
commonness	Yes	No	No	No

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

normality: being within certain limits that define the range of normal functioning
commonness: the state of being that is commonly observed

Other hyponyms of normality include averageness, expectedness, typicality.

normality (noun)	commonness (noun)
expectedness as a consequence of being usual or regular or common	ordinariness as a consequence of being frequent and commonplace
conformity with the norm	sharing of common attributes
(of a solution) concentration expressed in gram equivalents of solute per liter	the quality of lacking taste and refinement
being within certain limits that define the range of normal functioning	the state of being that is commonly observed