A little quiet

Inside the classroom, there was quite a loud symphony of noises. People were talking without too much concern and the loud chatter was often cut with loud music that would play at random intervals as a malfunctioning radio kept blurting out electronic music. In the far end of the classroom, there was a little quiet to be found. It was a rather huge classroom that was certain. In fact, the length of it was higher than that of the gym we had in my previous school. Weird, I know. In the quiet end of the room, me and my new friend started discussing politics.

I was wondering if a little quiet made any sense in the context of the phrase.