Ever since I got my computer (2-3 weeks ago), the fan has had this weird sound. It is especially bad when playing games and annoys me a fair amount. I have recorded this sound and uploaded to my soundcloud, so I will provide the link here (if possible). You can hear the weird sound around 8-10 seconds in and then in the background throughout the rest of the recording. It is a lot worse when gaming, since it seems that it has to be spinning in a certain speed for it to be consistent.
Here is the soundcloud link: Röst 001 by Fexell | Free Listening on SoundCloud