  A proof is presented for the absence of gap for spin $1/2$ ladders with an
odd number of legs, in the infinite leg length limit. This result is relevant
to the current discussion of coupled one--dimensional spin systems, a physical
realization of which are vanadyl pyrophosphate, (VO)$_2$P$_2$O$_7$, and
stoichiometric Sr$_{n-1}$ Cu$_{n+1}$ O$_{2n}$ (with $n=3,5,7,9,\dots$).
