From what i can tell there are 3 things. The region, the peninsula and Scania. Scania came first(I could be wrong about that though) but then what?
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So, I had to look it up because "wtf is scani". Apparently it's what you weird non scandinavians call Skåne. Anyway. It is derived from the Germanic root Skaðin-awjo or Skaðan, which appears in Old Norse as Skáney. Skaðan means scathing. I don't know if this helps.