Balkanic Parallels and Paradoxes

I posted a shorter youtube version of this video a year or so ago on facebook, but I was reminded of it today and was able to find the full-length documentary on this song that people from Turkey and the Balkans claim as their own.

I don't think the answer will ever be found and there's the rub and the beauty of it. These are all countries with very rich and distinct musical and cultural traditions and therefore justified in claiming it as their own. From an objective point of view, however, and relying on their common historical point, the Ottoman invasion, I'm inclined to say that the melody is most likely Turkish.