dance master vs teacher

dance master and teacher both are nouns.

Word	Noun	Adjective	Verb	Adverb
dance master	Yes	No	No	No
teacher	Yes	No	No	No

As nouns, teacher is a hypernym of dance master; that is, teacher is a word with a broader meaning than dance master:

Other hypernyms of dance master include dancer, professional dancer, terpsichorean, instructor.

dance master (noun)	teacher (noun)
a professional teacher of dancing	a personified abstraction that teaches
	a person whose occupation is teaching