We analyze a certain finite temperature generalization of the Plancherel measure on partitions using the cylindric (periodic) Schur process. The measure, introduced by Borodin and which interpolates between Plancherel and uniformly random partitions, counts standard Young tableaux of skew shape. A simple modification becomes determinantal with kernel the finite temperature Bessel kernel. Edge fluctuations are governed by the one-third exponent and the finite temperature Tracy–Widom distribution of Johansson, itself interpolating between the Tracy–Widom distribution and the Gumbel distribution of extreme statistics. If time permits, we mention semi-speculative relations to longest increasing subsequences. Our results are discrete analogues of finite temperature random matrix results of Forrester, Johansson, and more recently, of Majumdar–Schehr and Cunden–Mezzadri–O'Connell. This is joint work with Jeremie Bouttier.