The working formula quoted in Burrard, said to be derived from simultaneous recordings of both crusher & tranducer pressures ie crusher pressure in tons times 1.5, minus .5 = tranducer pressure in tons. You can then convert to psi by multiplying by 2240. Look at the comparsion with these figures from the proof house;
3 tons = 8,938psi (formula 8,960; PH + 22psi)
3¼ tons = 9,682psi (formula 9,800; PH + 118psi)
3½ tons = 10,427psi (formula 10,640; PH + 213psi)
4 tons = 11,917psi (formula 12,320; PH + 403psi)
Note the slight "Growth" in discrepancy as pressure goes up showing it is not an absolute formula.
On a lark I divided the .5 subtractor by 3 tons & got .16666666. I rounded this up to .17 & then used the formula;
Tranducer pressure = (Cp x 1.5) - .17Cp
"All" four gave results that were within One (1) lb of the proof house pressures.
This gave the subtrction figure for 3ton as .51, 3¼ton as .5525, 3½ ton as .595 & 4ton as .68