Sorry, the thread title is "Poolology: Side Pocket Aiming", so my questions in this thread are about fractional aim points for the side pocket.
On the long rail, the 5-ball should be positioned two "ticks" closer to the side pocket than the 1st diamond from the side pocket, where there are 10 ticks between the virtual side pocket diamond and the 1st diamond from the side pocket. On the Poolology grid, that would be an object ball position of 36. On the end rail, the 5-ball is halfway between the virtual corner pocket diamond and the 1st diamond, or 5 ticks closer to the corner pocket from the 1st diamond. Then, if you line up the cb so that the cb-ob line of centers points to the 40 diamond from the side pocket, as shown in the diagram, I find that the fractional aim point is between 1/2 ball and 3/8 ball. That was just a random shot that came up during a practice session, and the corner pocket was blocked, so I endeavored to sink the 5-ball in the side pocket, and I decided to run the numbers using Poolology.
The calculated Poolology number is 40/36, which is meaningless. The exact fractional aim point isn't really important because the point of my post was to see if I was doing something wrong because it's the first shot that I've come across where Poolology didn't provide a meaningful aim point for a shot that required at least a 3/8 fractional aim point--"at least" meaning equal to or greater numerically than 3/8, e.g 3/8, 1/2, 5/8. Typically, I find that as the fractional cuts get really thin, e.g. 1/8 or smaller, then sometimes Poolology won't provide a meaningful fractional aim point, and BC21 has stated that the system doesn't work well as the cuts get thin.
I also want to say, Poolology didn't come up with a 5/8 fractional aim point when the shot actually required a 3/8 fractional aim point, so I was not led astray. Instead, the Poolology math told me, "You are on your own.", and I can accept that.