I clipped out the 56k and put a decade box in it's place. I am going to say the results were interesting but simple. Bigger resistor value = less volume. Smaller value = more volume.
Question 1: How did you listen to the output? At the speaker of the push-pull amp? At plate only?
Question 2: Did you change the input signal level feeding the phase inverter? Crank up the volume knob and see at what volume distortion sets in?
Sluckey said:
Since the cathodyne operates like a cathode follower, changing the value of that resistor will not change the signal voltage that appears across that resistor. The cathode signal will always be about 80% to 90% of the grid signal. But, making it smaller will ... causes the signal on the plate to become larger ...
The split-load normally has the plate and cathode load resistors large enough that the stage has a gain to each output of a little less than 1. As you make the cathode load smaller, it
will allow the plate output to become a little bit larger. Eventually, the cathode load becomes small enough to approximate a normal common-cathode gain stage. At that point, the plate output might be up to a gain of 50-60 with a 12AX7. That could account for the volume increase you heard, under certain circumstances...
However, at the point where the cathode resistor starts allowing a gain above 1 at the plate output, the cathode output also starts changing. If a 25vac input resulted in a bit less than 25vac on the cathode output, there will come a point (as the cathode load gets smaller) where Rk * Ik doesn't equal 25vac. Meaning, the cathode resistance gets so small that the current required to get the same 25vac output at the cathode is impossible for the tube to manage. So, when you get to the point where plate output is noticeably up, the cathode output will be noticeably down.
What happens to the push-pull output stage? Well, if you listened with a routinely small signal input to the phase inverter, you probably didn't notice your overall clean power output kept going down.
Thought Experiment: What happens if you go so far to make the cathode load Zero ohms? This would be the same as the limit for your "volume boost" situation, right? If cathode load is zero, plate output has gone up, but cathode output is zero also. If you're using a 5E3 Deluxe, this is the same as yanking the 6V6 fed by the phase inverter output from its socket. Try it. The amp will still play.
You won't notice an issue at low signals. As you crank up, you'll find the amp distorts much earlier and has less power output, less volume. Instead of 2 output tubes, you only have 1 driving the speaker. The OT also goes from looking like R
a-a/2 to R
a-a/4 for the remaining tube. That will be well under the designed load, which probably allowed for close to maximum clean power. So 1 output tube + wrong load = much less power than the original circuit.
So something don't add up: you get more volume by reducing the cathode load, but you are assured of less volume by taking that to its logical conclusion. I'm guessing you tested with a guitar at a fairly quiet speaking-volume.
You might need an SPL meter to really know what volume you get when distortion kicks in.