Is it actually allowed to only transmit the sound from one station on Twitch if the picture is not shown?
UrhG https://www.gesetze-im-internet.de/...g/__2.html names "6. Film works", and not only the running images are protected, especially since such protected works can also be heard in the sound of the film:
Language works […]
Works of music […]
A single banal sentence is not yet considered a work of language, a clever one perhaps, https://www.google.com/...rteil+urhg.
All of this is true if the sound of the film is part of the message of your video. If it is just happening by chance while you are quickly walking through your living room with the camera, UrhG https://www.gesetze-im-internet.de/.../__57.html could apply:
Duplication, distribution and public reproduction of works are permitted if they are insignificant accessories
next to the actual subject of reproduction, distribution or
public reproduction are to be viewed.
But if you do gymnastics to the music of the film, it will certainly not work. And especially not when you tell your audience: "Listen to this great part in the film!"
Then at most UrhG https://www.gesetze-im-internet.de/.../__51.html could still apply as a justification, even if only under very narrow conditions:
The reproduction, distribution and public reproduction of a published work for the purpose of quoting is permitted, provided that it is used
is justified in its scope by the particular purpose. This is particularly permissible
if […] (Please read on; Gerd)