flourish vs melodic line

flourish and melodic line both are nouns.

Word	Noun	Adjective	Verb	Adverb
flourish	Yes	No	Yes	No
melodic line	Yes	No	No	No

As nouns, melodic line is a hypernym of flourish; that is, melodic line is a word with a broader meaning than flourish:

Other hypernyms of flourish include air, line, melodic phrase, melody, strain, tune.

flourish (noun)	melodic line (noun)
the act of waving	a succession of notes forming a distinctive sequence
a display of ornamental speech or language
a showy gesture
(music) a short lively tune played on brass instruments
an ornamental embellishment in writing

flourish (verb)	melodic line (verb)
grow vigorously
move or swing back and forth
make steady progress; be at the high point in one's career or reach a high point in historical significance or importance