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Intuitively, entropy measures the deviation from a uniform distribution, it is maximal with a perfect uniform distribution, and goes to zero with a strongly peaked distribution. It also grows with the number of available names, but this dependence is rather weak and if one wants to get completely rid of it one can normalise the entropy, the resulting measure is that known as Shannon Equitability Index with a range from 0 (all in one peak) to 1 (perfect uniform distribution).