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For questions on mathematical problems arising from music theory, e.g. scales, harmonies, rhythms, and compositional techniques (such as dodecaphony or minimalism).
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Maximal entropy of integer partitions of $n$
Let $\operatorname{Part}(n)$ be the set of integer partitions of $n$.
A partition $p \in \operatorname{Part}(n)$ has $k$ summands and $d$ distinct summand $n_i$, with $d \leq k$ and $d$ frequencies $f …