Music you're allowed to enjoy and listen to in the Star Trek universe:
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Classical orchestrations
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Opera, klingon or otherwise
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Jazz, but only if you're that loose cannon, Will Riker.
I guess no one listens to any music after 1930. Or just, no modern compositions of any kind are made unless its inspired by classical orchestra, or one dude playing a flute.
Lower Decks needs a character who's like "yeah I'm real into the classics, studied it all my life" and pulls out some Imagine Dragons and everyone fucking hates him
Note: I've never actually watched Lower Decks, this could already be a gag for all I know