  For systems of three identical particles in which short-range forces produce
shallow two-particle bound states, and in particular for the ``pion-less''
Effective Field Theory of Nuclear Physics, I extend and systematise the
power-counting of three-body forces to all partial-waves and orders, including
external currents. With low-energy observables independent of the details of
short-distance dynamics, the typical strength of a three-body force is
determined from the superficial degree of divergence of the three-body diagrams
which contain only two-body forces. This na\"ive dimensional analysis must be
amended as the asymptotic solution to the leading-order Faddeev equation
depends for large off-shell momenta crucially on the partial wave and
spin-combination of the system. It is shown by analytic construction to be
weaker in most channels with angular momentum smaller than 3 than expected.
This demotes many three-nucleon forces to high orders. Observables like the
quartet-S-scattering length are less sensitive to three-nucleon forces than
guessed. I also comment on the Efimov effect and limit-cycle for non-zero
angular momentum.
