We have made observations of the H I in the southern ringed barred spi
ral galaxies NGC 1433 and NGC 6300 with the Australia Telescope Compac
t Array (ATCA), the main goal being to test the resonance theory for t
he origin of these rings. NGC 1433 is the prototypical ringed barred s
piral and displays distinct H I counterparts to its nuclear ring, inne
r ring, outer pseudoring, and plumelike features. The L(4) and L(5) re
gions at corotation, as well as the bar itself, are relatively devoid
of neutral atomic hydrogen. We use the Tully-Fisher relation to argue
that the mean inclination of the disk of NGC 1433 is closer to 33 degr
ees than to 20 degrees, meaning that its outer pseudoring is intrinsic
ally almost circular, while the inner ring is rather more elongated th
an the average (based on results from the Catalog of Southern Ringed G
alaxies). Strong radio continuum emission is localized to the nucleus
and the ends of the bar in NGC 1433, and we place an upper limit on th
e 1.38 GHz flux of the Type II SN 1985P a decade after the explosion,
By associating the inner ring of NGC 1433 with the inner second harmon
ic resonance, and its outer pseudoring with the outer Lindblad resonan
ce, we are able to infer a bar pattern speed for NGC 1433 of 26 +/- 5
km s(-1) kpc(-1). By way of contrast, NGC 6300 possesses a much more e
xtended H I disk than NGC 1433, despite having a similar morphological
type. There is a gas ring underlying the inner pseudoring, but it is
both broader and slightly larger in diameter than the optical feature.
The outer H I envelope has a 20 degrees kinematic warp as well. as a
short tail, even though there are no nearby candidates for a recent in
teraction with NGC 6300. The noncircular motions inferred from optical
emission-line spectra do not appear to extend beyond the bar region o
f NGC 6300. Barely 10% of the 1.38 GHz radio continuum emission in NGC
6300 originates in the type 2 Seyfert nucleus, with the rest coming f
rom a disklike component internal to the ring. By again linking an inn
er ring feature to the inner second harmonic resonance, we derive a ba
r pattern speed for NGC 6300 of 27 +/- 8 kM s(-1) kpc(-1), but in this
case, neither the outer pseudoring nor the nuclear ring predicted by
the resonance ring theory can be identified in NGC 6300. Although it m
ay be the case that the ring in NGC 6300 is not related to a resonance
with the bar at all, we postulate instead that NGC 6300 is merely a l
ess well developed example of a resonance ring galaxy than is NGC 1433
.