tragedian vs writer

tragedian and writer both are nouns.

Word	Noun	Adjective	Verb	Adverb
tragedian	Yes	No	No	No
writer	Yes	No	No	No

As nouns, writer is a hypernym of tragedian; that is, writer is a word with a broader meaning than tragedian:

tragedian: a writer (especially a playwright) who writes tragedies
writer: writes (books or stories or articles or the like) professionally (for pay)

Other hypernyms of tragedian include author.

tragedian (noun)	writer (noun)
an actor who specializes in tragic roles	writes (books or stories or articles or the like) professionally (for pay)
a writer (especially a playwright) who writes tragedies	a person who is able to write and has written something