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I can't find anything that exactly fits, but I've definitely seen this a few times.
For example, in Doom House, there is Ominous Latin Chanting whenever there's a close-up of The Doll, but it stops as soon as the camera cuts to anything else.
I've also been watching Mao Mao: Heroes of Pure Heart lately; one episode had a fight going on with intense music, then with a brief cut to some spectators watching the fight, the music continued much more quietly as though it were originating from the distant fight.
Rule of Perception in general maybe? Or a non-visual variant of Behind the Black? (We the audience can't see the scary thing, so it stops playing scary music.)
Edited by Bootlebat
Rule of Perception could apply in a broad sense, but this might warrant a TLP entry… Like "PoV-Dependent Soundtrack" or something?
Music in first person Web Original
In this scene
, the music plays when the character looks through the binoculars and stops as soon we’re back in third person, as if the music was in the binoculars. Is there a trope for that?
Edited by Lyendith