We construct the complete set of positive parity pentaquarks, which
correspond in the quark model to {\bar s} q^{Nc+1} states with one unit of
orbital angular momentum L=1. In the large Nc limit they fall into the K=1/2
and K=3/2 irreps (towers) of the contracted SU(4)c symmetry. We derive
predictions for the mass spectrum and the axial couplings of these states at
leading order in 1/Nc. The strong decay width of the lowest-lying positive
parity exotic state is of order O(1/Nc), such that this state is narrow in the
large Nc limit. Replacing the antiquark with a heavy antiquark {\bar Q}
q^{Nc+1}, the two towers become degenerate, split only by O(1/mQ) hyperfine
interactions. We obtain predictions for the strong decay widths of heavy
pentaquarks to ordinary baryons and heavy H(*)_{\bar Q} mesons at leading order
in 1/Nc and 1/mQ.Comment: 21 pages, 2 figures, 5 table