In case you want to generalize guitars using ideas from star graphs, you can consider tritares (and generalizations from its Y-shape to star graphs of Stieltjes strings).
I saw a picture of a tritare from the following talk: Star graphs of Stieltjes strings, by Christiane Tretter (Bern, SUI)
You can read about the tritare at this article as well as this one.
They tried playing the sound (from an online video) before the first talk this morning, and it hurt.
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