This Whip-o-Lite shade is No. 364-white (Flockless) from 1942. It was designed to be used on table, hanging, and bracket lamps. The price for 14 inch Aladdin Whip-o-Lite shades at this time was $1.50.
The "Flockless" reference is probably due to the fact that many of the Aladdin shades being sold in this period had flocked artistic designs. The flocking process involved designing a pattern on the shade and then applying an adhesive to the drawn design. This process was followed by depositing small fibers onto the shade. The fibers stuck to the areas where the adhesive had been applied, and formed a raised design. Doing so made the original design that was drawn on the shade stand. It gave the design another dimension by making it not only more visible, but adding a "feel" to it. A customer could actually feel the texture of the flocking on the shade.
There is a shade that is quite similar in design to this one which also came out in 1942, but it was a specially designed "Alpha Paper" shade. The Alpha Paper shade was designed to be opaque. It was not as tall as the Whip-o-Lite shade, and had a smaller top ring so that the sides sloped inward at a greater angle from the bottom to the top of the shade. The idea of the Alpha shade was to reflect more light in a downward direction. It was referred to as a "reflector" type shade for table, or hanging lamps, where it was more desirable to to concentrate the light for reading or dining.
The Alpha paper shade is not easily confused with the Whip-o-Lite shade, even though the design on the shades are the same. The difference in the size alone makes it pretty easy to identify each of them. The Alpha shade will be shorter and have much more inward slant from the bottom to the top of the shade.