closeness vs pettiness

closeness and pettiness both are nouns.

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

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

Other hyponyms of closeness include littleness, smallness, miserliness.

closeness (noun)	pettiness (noun)
the spatial property resulting from a relatively small distance	the quality of being unimportant and petty or frivolous
characterized by a lack of openness (especially about one's actions or purposes)	lack of generosity in trifling matters
the quality of being close and poorly ventilated	narrowness of mind or ideas or views
close or warm friendship
extreme stinginess
a feeling of being intimate and belonging together