Playing with numbers led me to make these two charts. The top one is a plot I made where the vertical axis is a pitcher's strikeout to walk ratio and the horizontal axis is the ratio of the number of strikes thrown to balls thrown. The size of the dot represents the average number of pitches thrown per at bat. The dashed line represents what you would expect the relation of K/BB and strikes/balls where a pitcher's K/BB would be 1 if they had an average ratio of 3 strikes to 4 balls.
The second chart has most of the same information as the top one but in a different format. One thing that is important to remember is that strikes include fouls so weird things like Aardsama has 3.1 strikes per batter faced.
Its not really useful or telling analysis but I thought the graph was something to think about.