Yes, zither is a Scrabble word!
...and is worth 18 points in Scrabble, and 17 points in Words with Friends
zither
Noun
1. A musical stringed instrument with strings stretched over a flat sounding board; it is laid flat and played with a plectrum and with fingers
What Scrabble words can I make with the letters in zither?
5 Letter Words
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3 Letter Words
2 Letter Words