F=1/(2*pi*R*C)
The above equation needs a bit of context. That's the general equation for calculating the corner frequency of a passive filter network.
It's also known as the -3dB point because that is the frequency at which the source signal is cut by -3dB. However, different from a traditional high or low pass network, partially bypassing acts more like a shelving eq than a constant roll off by XdB/decade. The degree of the shelf is about 6dB, so the calculation gives you the midpoint and no real info on the slope.
This is important to know because a partially bypassed triode at say 100Hz will affect the signal well into the 300Hz range, but won't completely kill the lowest of frequencies. It'll just roll them down. This is a different effect than just shrinking the coupling cap.
With an 8.2μF cap and a cathode resistor in the usual range of 820-2.7k the -3dB point is 2 octaves or more below the low E (~82Hz). This is why anything larger will have no impact on the guitar frequency range--it is already fully bypassed for the expected signal bandwidth.
With smaller bypass caps than 8.2uF you can start attenuating the lows, even if the filter frequency is below the lowest fundamental.
This is where things get fun. The first thing a studio engineer or decent sound man is going to do to your mic'd amp is put a high pass on it, and probably way higher than you'd want - 150+Hz. The reason for this is to keep the guitar out of the bass and drum frequency range.
You can do this yourself my tailoring the cathode cap of your first stage. I like 2.2-4.7μF for Blackface Fenders and their derivatives depending on speaker arrangement. 1 speaker gets 4.7μF where a 4 speaker Super gets 2.2μF.
This gives you a better mix when playing in a band unmic'd or with a bad/lazy sound man.
There's also the school of thought that operates under the observation that lowest frequencies require the most power to reproduce and by cutting the lowest frequencies early in the circuit you free the amp up to focus more power into reproducing the useful frequencies.
I just like that the amp sounds less muddy with a gentle roll off of the subbass