Isn't the difference just that classical music is really the genre, and baroque is a part of it, meaning the classical music of the baroque era? I don't think it's really possible to compare the genre (classical) with a part of itself? You probably need to define what you mean with "classical".
Baroque stars one melody, and classical tends to tell stories, AFAIK.
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adelinadarkstar said: Aren't they both the same? I've always thought they were.
They are not really the same. After Bach died composers and musicians taste change during the period we now call the "Classical era" Harmony change in that period of time from the “vertical” aspect of music (Classical) - taking precedence over counterpoint, which represented its “horizontal” aspect(Baroque).
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In English, the word "classical" is used to describe both all kind of old European style music played by traditional instruments (symphonic orchestra, chamber orchestra, solo piano or violin, etc.), including of course Baroque music, but in a narrower meaning it might mean the musical style from the middle of the 18th century through the beginning of the 19th century, between the Baroque and the Romantic periods. So the term may or may not include Baroque.
Baroque
Baroque and Classical