  We study a family of classical strings on R x S^3 subspace of the AdS_5 x S^5
background that interpolates between pulsating strings and single-spike
strings. They are obtained from the helical strings of hep-th/0609026 by
interchanging worldsheet time and space coordinates, which maps
rotating/spinning string states with large spins to oscillating states with
large winding numbers. From a finite-gap perspective, this transformation is
realised as an interchange of quasi-momentum and quasi-energy defined for the
algebraic curve. The gauge theory duals are also discussed, and are identified
with operators in the non-holomorphic sector of N=4 super Yang-Mills. They can
be viewed as excited states above the ``antiferromagnetic'' state, which is
``the farthest from BPS'' in the spin-chain spectrum. Furthermore, we
investigate helical strings on AdS_3 x S^1 in an appendix.
