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Jarring is an adjective, in the context of the sentence it means harsh or grating. It's quite an unpleasant sound the trumpet is making!
Jarring is used to describe something or someone that has a harshly concussive, disagreeable, or discordant effect. The word also makes reference to something or someone incongruous in a striking or shocking way. In this case, it describes the noise produced. As you can notice, it does not have a positive connotation in the sentence and the following sentence affirmed it: "everyone quickly covered their ears!"