OK, this is going to sound weird but I didn't have much interest in the subject matter going into the course, but I took it anyway because some people I knew were going to take it. Having said that, I did enjoy the class. As previously mentioned, you don't need much of a music background (but if you do have one, don't worry, you will be able to apply it to make your essays even more rich).
However, a lot of the class focuses on the cultural aspects surrounding world music. Questions that come up are who should have rights to music (i.e. the native cultures that created the music, or the Westerners who shop up and appropriate it)? So there's issues of law, ethics, society, etc.
While the issues themselves are interesting, the delivery of the course could be better. I found the lectures fine, but less engaging than other courses. Each week ended with a discussion between graduate students about the musical aspects of the course, which I found completely unapproachable. I hate to say it, but a lot of what I enjoyed the most is taking that week's content then watching documentaries about it completely not required by the class so I was getting more about the subject but it was technically not a component of the class.
I don't want to discourage you. I'm saying the class is OK, even good, however some courses on Coursera use the technology so well that this course can pale in comparison. If the subject matter interests you, though, don't be discouraged. You will enjoy it and there are no super egregious flaws.