smallness vs closeness

smallness and closeness both are nouns.

Word	Noun	Adjective	Verb	Adverb
smallness	Yes	No	No	No
closeness	Yes	No	No	No

As nouns, closeness is a hypernym of smallness; that is, closeness is a word with a broader meaning than smallness:

smallness (noun)	closeness (noun)
the property of having a relatively small size	the spatial property resulting from a relatively small distance
lack of generosity in trifling matters	characterized by a lack of openness (especially about one's actions or purposes)
the property of being a relatively small amount	the quality of being close and poorly ventilated
the property of having relatively little strength or vigor	close or warm friendship
The quality of being minor in influence, power, or rank.	extreme stinginess
	a feeling of being intimate and belonging together