What is your source for what humans can easily discern on their own? Particularly your 11 degrees claim. You still haven't answered that.
I answered that in reply #47 of this thread:
The question I asked is about that: how precise are human beings with direction? This question can be easily answered by noting that "human-measurable" scales regarding direction don't get any more precise than a 16 point compass rose. So direction in this case is only accurate to within +/- 11 degrees. I really don't think it's exactly +/-11 degrees, but it's pretty close to that, otherwise we'd need (and have) more compass points than N, SW, ENE, etc. To put it another way, if you and someone else were standing at the edge of a downtown, and there was a loud, unexpected shot, would you expect your companion to say, "Wow, that came from 49 degrees East of North"? Or would he just point in the general direction as best he could?
In response to my question, "Now, given the real world conditions of Dealey Plaza on Nov 11, 1963, how accurate do you think the TP witnesses audio localization capabilities were at the time?" You said:
I don't care. I'm merely pointing out that 11 degrees off is not the "same direction". Nor is 3 degrees off. Same direction means zero degrees.Pity you don't care. The effect precision has on measurement is fundamental to the problem. "Same" is dependent on the ability to accurately distinguish quantity. Let's assume you have a measuring device that's accurate to +/-1 cm. You have some object, A, that your device says is 46cm and another object, B, that measures out to 47cm. Which is longer? Simple question, right? B should be, by one centimeter. But that's not true. There's a centimeter worth of uncertainty for each measurement. A could really be 46.7cm and B might be 46.4 cm, and still measure 46cm and 47cm respectively. For that matter, you can also have an object C that measures 55cm and an object D that measures 57cm, though both are in reality 56cm. The measuring device isn't accurate enough to reliably discriminate length differentials less than 2cm. A and B then are properly considered to be the same length, since the measuring device can't discriminate finely enough between the lengths. This is a fundamental issue in science, and is one of the first things taught in science classes at the high school level. Maybe even their junior high level. Maybe you were out sick that day.
It comes down to how precise you think that someone could be about the direction of the origin of a shot in Dealey Plaza. I'd keep asking you about what you think that level of precision would be, but as you say, you don't care. It's the most important underlying question to the whole kerfluffle...and you simply don't care. But you want to argue about it anyway.