With frequency and pitch of the sound, I would point towards the springs. It's more of a metal-on-metal sound.
Could be the dampers too.
Or, if they are on pedestals, maybe something in conjunction with that.
Less likely would be the shaft seal protecting the bearings from water ingression. That would be a bigger job - but again, not all that likely.
First rule out the simple things (like if it's on a pedestal and you're storing something in them, if that makes the noise - or if it's rubbing against hoses or something as it vibrates).
If that sound is that annoying to you, start by taking the top off, run a spin with it off and see if you can locate the noise. Just be careful not to touch anything so you don't get shocked or pinched.
Most sounds can be pretty easy to locate within the machine.