I am also not an expert on ordered dither maps. Maybe you could ask your question on the ImageMagick forum (http://www.imagemagick.org/discourse-server/) and then I can help you translate the command line back to C#.
You can use the Histogram method of the MagickImage class to get a count per color in the image.
You can use the Histogram method of the MagickImage class to get a count per color in the image.