country music vs ethnic music

country music and ethnic music both are nouns.

Word	Noun	Adjective	Verb	Adverb
country music	Yes	No	No	No
ethnic music	Yes	No	No	No

As nouns, ethnic music is a hypernym of country music; that is, ethnic music is a word with a broader meaning than country music:

country music: a simple style of folk music heard mostly in the southern United States; usually played on stringed instruments
ethnic music: the traditional and typically anonymous music that is an expression of the life of people in a community

Other hypernyms of country music include folk, folk music.

country music (noun)	ethnic music (noun)
a simple style of folk music heard mostly in the southern United States; usually played on stringed instruments	the traditional and typically anonymous music that is an expression of the life of people in a community