These graphs can tell you a lot about how different filters compare:
http://www.karmalimbo.com/aro/pics/filters/narrow.jpg
http://www.karmalimbo.com/aro/pics/filters/o3a.jpg
http://www.karmalimbo.com/aro/pics/filters/o3b.jpg
Notes about filters:
Narrowband filters should transmit H-Beta (486nm), and both O-III lines (496nm and 501nm) at >90%, and very little else. Since bandwidths shift as the light goes through the filter further off-axis, to guarantee that you will see all three lines well means the bandwidth has to be > 15-16nm. A typical high quality narrowband filter is 20-25nm in width. Wider, and contrast is diminished by a greater amount of sky light entering the field. Narrower, and one of the lines might get clipped.
H-Beta is the blue version of light emitted by all nebula that emit Hydrogen alpha in the deep red. Our eyes can barely see the H-alpha light, and H-Beta is not emitted with the same strength, yet including H-Beta light in a filter makes the nebula appear larger in extent. Some nebula filters pass the H-alpha also (DGM), but this has little effect in scopes smaller than about 45cm or so.
Visual O-III filters should transmit the two O-III lines (496, 501nm) at >90%. This requires 10-12nm at least and a few good O-III filters are as wide as 15nm. The Baader clips the 496nm line, so it's more of a "photo-visual" filter, with a 10nm bandwidth, but not centered in between the two lines. Other O-III filters catch one or both of the two lines and vary a lot in bandwidth. You want both lines at >90% but very little else.
Nebulae that emit a lot of energy in O-III are many planetary nebulae, some supernova remnants, and small sections of some large nebulae. Wolf-Rayet stars tend to ionize the nebulae around them and also show well in O-III filters (like NGC2359, Thor's Helmet)
Hydrogen Beta filters should pass only the 486nm line with >90%. These are most effective on nebulae that emit most of their energy in the Hydrogen wavelengths. The 686nm line in the deep red is tough for our eyes to see well, alas, but the H-Beta line at 486nm in the blue is right in our sweetspot for nighttime viewing. These filters do really well to enhance contrast in H emission nebulae because of a 8-10nm bandwidth.
Photographic filters go straight for H-alpha, where there is more energy. Visual observers will prefer the H-Beta filter for certain nebulae.
Here is an article written by a consummate observer, comparing the basic filter types and how each works on the most popular nebulae (sorry for the northern bias):
http://www.prairieastronomyclub.org/...ommon-nebulae/