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Theme music - Wikipedia

https://en.wikipedia.org/wiki/Theme_music
Theme music ...
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The phrase theme song or signature tune may also be used to refer to a signature song that has become especially associated with a particular performer or dignitary; often used as they make an entrance. The purpose of a theme song is often similar to that of a leitmotif. Such songs can also be used in other ways. One author has made extensive use of them in an effort to explore the feelings behind world views.

Clap my hands and jump for joy;
I was here before Kilroy.
Sorry to spoil your little joke;
I was here, but my pencil broke.
— Kilroy