Derek
There is a range of Model Engineering (ME) threads in fractional sizes and available in both 32 and 40 TPI variants.
9/32" X 32 TPI gives an O/D of 0.281" and a pitch of 0.031". 0.281 is the exact conversion from 9/32" and going back to my apprenticeship as a tool and gauge maker, you always make the o/d about 0.005" under size, before screw cutting, which gives 0.276".
There is data re. ME threads on the internet. Additionally as already defied in an earlier response Tracy Tools will be able to supply taps and dies.