The direct numerical simulation database from Shin et al. ( J. Fluid Mech. , vol. 823, 2017, pp. 1–25) is used to study three-dimensional vortical and very-large-scale coherent structures in a turbulent round jet at Reynolds number of $7300$ . In particular, horseshoe vortices their role the formation near intermediate fields are assessed. swirling strength criterion together with conditional a...