Excerpts from The Theory of the Photographic Process, 3rd edition.
"In a practical sense, however, the fractional gradient criterion has certain weaknesses. The method requires the determination of two gradient values, and unless great care is taken in making these measurements, significant errors can arise in the determination of speed. For this reason primarily, the fractional gradient criterion has not received universal acceptance. Experience with its use has shown that the errors arising from the measurement of the two gradients more than offset the theoretical advantage of the fractional gradient criterion. The fixed-density criterion for determining speed has found strong support on the grounds that it is more convenient to use and is subject to smaller experimental errors than the fractional gradient criterion.
The possibility of effecting a compromise between the fractional gradient method and the fixed density method for determining speeds was suggested in a paper by Nelson and Simonds. They studied the sensitometric characteristics of hundreds of different kinds of negative materials and found that the relation between fractional gradient speeds and speeds based on a density of 0.10 above fog is systematically related to the average gradient of the D-log E curve on which the measurements are made."
"In 1957, the responsible committees of the American Standards Association undertook the drafting of a revised American Standard Method for Determining Speed of Photographic Negative Materials. One of the primary objectives in writing the new standard was to specify a method of testing which would permit the use of a fixed density speed criterion. The view was held that by abandoning the fractional gradient criterion, which had been specified in previous American Standards, and adopting a fixed density criterion, a serious obstacle in the way of international agreement on the method for determining speed would be removed. Because, in addition, the use of a 0.1 fixed density criterion in consideration with a suitable development specification offers the convenience and precision characteristic of this criterion and retains the practical significance of the fractional gradient criterion, this method was adopted in the new American Standard."
- This refers to the Delta-X Criterion for the American Standard.