  We revisit our rope model for string fragmentation that has been shown to
give a reasonable description of strangeness and baryon enhancement in
high-multiplicity pp events at the LHC. A key feature of the model is that the
enhancement is driven by the increased string tension due to strings
overlapping in dense systems. By introducing an improved space-time picture for
the overlap between fragmenting strings, where also non-parallel strings are
properly taken into account, we are now able to investigate the enhancement
both in jets and in the underlying event in a consistent way.
