The Stanford Cultural Interactions Club put on an event called Sounds of Diversity, which brought together musicians from different cultures. I got in late, but I still saw a Turkish ensemble that caught my interest.
The music sounded a lot like the soundtrack to the video game Bastion (you can listen to it or buy it on Amazon). I got the soundtrack through a Humble Indie Bundle. That game is very much a story, and the music was well matched to the game.
It had a Klezmer feel, but it was very distinct. It felt like Klezmer music was meant to be played under a desert moon, whereas the Turkish ensemble music was meant to be played under a desert sun.
In any case, I enjoyed it.