Terminology: Name of a permutation that consists of exactly a single cycle?

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If $\pi$ is a permutation on $n$ elements, is there a name for $\pi$ if it consists of a single cycle? This isn't a cyclic permutation since I do not want any fixed points. So I suppose it would be a cyclic permutation that happens to be a derangement? Is there a name for these types of permutations?