vulgarity vs coarseness

vulgarity and coarseness both are nouns.

Word	Noun	Adjective	Verb	Adverb
vulgarity	Yes	No	No	No
coarseness	Yes	No	No	No

As nouns, vulgarity and coarseness are synonyms defined as:

Other synonyms of vulgarity include commonness, grossness, raunch, vulgarism.

vulgarity (noun)	coarseness (noun)
the quality of lacking taste and refinement	looseness or roughness in texture (as of cloth)
	the quality of being composed of relatively large particles
	the quality of lacking taste and refinement
	language or humor that is down-to-earth