We present a test for the degree of symmetry in the distribution of the H a
lpha brightness along the arms of a sample of spiral galaxies. The test con
sists of deriving the cross-correlation function of the Hot brightness as a
function of curvilinear distance along pairs of opposed arms, after unfold
ing the arms geometrically. Our results reveal a significantly greater degr
ee of symmetry in the: non-barred population than in the barred. We derive
parameters for both bar strength and bar ellipticity, and compare these wit
h the derived cross-correlations to strengthen this conclusion. We suggest
that density waves are a probable cause for the appearance of global, i.e.
disc wide, two-fold symmetry in spiral discs. Comparison with published wor
k on abundance gradients in the discs of barred and non-barred galaxies ind
icates that, as for the abundances, mixing in the spiral disc as a result o
f the bar potential may well be responsible for our observation that strong
er bars are related to reduced two-fold symmetry in the distribution of sta
r-forming regions along the spiral arms.