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Definitely Wicked Cultured, Affably Evil is about the villain being nice (until they kill you).
Yeah, I can see how they would overlap though.
Still think there should be a trope with piano/sax being equated with evil/classiness
HAPPY PRIDE 🏳️🌈 (pfp by alomaire-art on tumblr!) | they/sheWicked Cultured covers that. If not, Cultured Badass definitely does and can just as easily apply to villainous characters, as well as heroic ones.
Man of Wealth and Taste covers evil having class in the sense of having refined taste and style- this can extend into things like their theme music being a genre with sophisticated associations like classical or jazz.
Saxophones specifically overlap this with Creepy Jazz Music and Sexophone.
Edited by Scorpion451

Wondering if there's a kind of supertrope or general trope referring to evil characters being gentlemanly and polite. Not just in terms of appearance like Sharp-Dressed Man (it doesn't even have to be Always Male), but in terms of personality and themes as well. For example, a evil classy character's theme song having piano or sax in it.