Posted by Michael Malleson on 07/05/2023 08:17:36:
…making up a differential screw arrangement of 30:32 ratio. When holding the screw, 30 tpi, and turning the nut, 32 tpi, increments of 0.0001" can be made.
A screw thread is a linear device. I am puzzled by your use of a ratio in conjunction with its operation.
Its name, differential screw, describes its operation. 'Differential' implies 'difference', an additive or subtractive operation. It is not called a quotiential screw, implying a multiplicative or divisive operation.
If you do the maths, 1/30 differs by 1/32 by 1/480, so you are effectively making a 480 tpi thread on the adjuster.
You might ask Hemingway's engineering department what divisions you would need on a dial to convert that 480 tpi into a 1/10000" increment since 1/480 th of an inch is not an integer number of ten thousandths.
The closest integer is 21, and that is hard work to keep track of on a dial. If the dial happens to have 20 divisions, you will be roughly 5% in error every full turn.