  The residuals about the standard M-sigma relation correlate with the
effective radius, absolute magnitude, and Sersic index of the host bulge -
although, it is noted here that the elliptical galaxies do not partake in such
correlations. Moreover, it is revealed that barred galaxies (with their
relatively small, faint, and low stellar concentration bulges) can deviate from
the M-sigma relation by delta(log M) = -0.5 to -1.0 dex (in the sense that
their sigma values are too large) and generate much of the aforementioned
correlations. Removal of the seven barred galaxies from the Tremaine et al. set
of 31 galaxies results in a ``barless M-sigma'' relation with an intrinsic
scatter of 0.17 dex (cf. 0.27 dex for the 31 galaxies) and a total scatter of
0.25 dex (cf. 0.34 dex for the 31 galaxies). The introduction of third
parameters does not reduce the scatter of the barless M-sigma relation.
Furthermore, removal of the barred galaxies, or all the disk galaxies, from an
expanded and updated set of 40 galaxies with reliable black hole mass
measurements gives a consistent result, such that log(M_bh/M_sun) =
(8.25+/-0.05) + (3.68+/-0.25)log [sigma/200].
  The "barless" sigma-L relation for galaxies with black hole mass measurements
is found to be consistent with that from the SDSS sample of early-type
galaxies. In addition, the barless M-sigma relation, the M-L relation, and the
M-n relation are all shown to yield SMBH masses less than 2-4 x 10^9 M_sun.
