coarseness vs vulgarity

coarseness and vulgarity both are nouns.

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

As nouns, coarseness and vulgarity are synonyms defined as:

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

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