I have watched this long enough.
Pitch was actually determined by the pipe organs. Any of you that have had a chance to see a real one, see stops that are labeled 2', 4', 8', 16', 32'. A natural trumpet in C is 8' long for instance. Soooooooooo, the C determined the A, the math is simple and now you know better!
This means that a well tempered A is different than a mean tone A,
How big a foot is, was unfortunately standardized at about the same time that pitch was.................