pettiness vs closeness

pettiness and closeness both are nouns.

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

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

pettiness (noun)	closeness (noun)
the quality of being unimportant and petty or frivolous	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)
narrowness of mind or ideas or views	the quality of being close and poorly ventilated
	close or warm friendship
	extreme stinginess
	a feeling of being intimate and belonging together