Well ok, thanks for the education. I stand corrected though the results of what I was trying to get across are the same....cutting the spring seems to be more significant in reducing overall spring force than the increases in spring rate from less coils would add to it. I played with the numbers and what stands out to me is the factor of 12^6 and a 4th order function of diameter in the numerator and a 3rd order function of diameter in the denominator.

In the end I think the spring would cease to fit correctly before the rate increases became significant enough to be beneficial.