The reason that Hardinge (and some others, like Beaver) liked 22DP, at least for rack gears, is that the pitch is within .04% of 7tpi, Thus is quite useful for linear calibrations.
The other thing is that Hardinge didn't use a plain 22DP gear, they used 22/29 stub form gears (pitch 22DP, but with the height and depth of 29DP gears), so the diameter is less than one might suppose.
PS:- Pete. I really must get back to you about gearbox cover castings. I've been a bit distracted over the last several months and have kept putting it off. 