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I've never played a mandolin that had moveable frets (mine certainly doesn't), but yes - these are easily moveable!

Ha, It's been a long day! I meant to say a lute. They have movable frets for different tunings.

I'm attempting to teach myself classical guitar, at the moment. I wanted to learn tamboritzan, but they're hard to find in the US, and more of an ensemble instrument. :-)

Good luck with the sitar!

another very interesting instrument is the Oud