Each level of this enchantment will increase the distance the sword can hit. The name has yet to be decided, but I'm going with "Reach" or "Elongation" for now.
For Reach I, the sword can hit 1 block further from its usual range.
For Reach II, the sword can hit 2 blocks further from its usual range.
For Reach III, the sword can hit 2 1/2 blocks further from its usual range.
I'm not suggesting that the enchantment has to be this specific; we can all bend the suggestion a bit but still maintain the "increased distance" of the sword idea.
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