^ Thank you, I truly appreciate it. I was aware that having a length that was a particular fraction of the wavelength one is trying to pick up greatly increased the ability to pick up said signals. I think the fraction to strength of signal is actually the same formula used for what harmonics ring on what fraction of a stringed instrument and to what extent when you pluck it. I might be wrong, though.
I wasn't aware of what that receiver was for and why it had various lengths of antenna wire, though. That is really fascinating so thank you again for the detailed response.