> mixing of out-of-phase signals.
No. It's out-of-out-of-phase.
Recall your R-C filter theory. Each R-C stage has 45 degree phase shift at the -3db corner, 90 deg at infinity. Low-pass lagging, hi-pass leading.
Two R-C stages have 45+45= 90 degree shift at the corner.
One 2-pole hi-pass and one 2-pole low-pass gives a _180_ degree phase difference at the corner or crossover.
Simple 2-pole crossovers tend to null-out at the crossover frequency.
In loudspeakers, you can swap the wires to one of the drivers, so that (in concept) there is no null and the crossover sums correctly in the room.
In an electronic crossover you need to flip polarity of one output.
In this case they flip first, filter, then mix with a simple summer.
Both pots are "1,000" in my PDF copy of the book.
> an original copy of RDH4 ... My 1952 original doesn't have 1,000 ohms written
How odd. The PDF version that floats around does have it. It may be that you have (I sent) an older printing that was corrected later, in time for the copy that the PDF was scanned from.
> 4.45mA
Which is better: gasoline at $4.45 or at $2? Why would you dump 4+mA down a mere tone-control buffer? And get less than 4V peak output across your 1K resistor? (The 22K+20uFd is a ripple filter and a solid AC ground.)
Starved?
2V peak in gives 27V peak (20Vrms) output at 2% THD. Yes, it is near-bottomed and clips at -29V; if you go right to a power-tube grid you may want to refine the operating point. For ANY other use 20Vrms is way more than you need.
> It just doesn't seem right for a 6SN7.
Yup. 2K-3K would be a more mainstream cathode resistor for a DC operating point. But Rk is unbypassed. We need some gain, we don't need a lot of gain. With Rk=3K the gain would be much less. We could fix that with a C and another R. Or we can fudge so the DC values also give a useful audio gain and ample output.
> Concertina that was left to the user to set the grid bias.
Ha, didn't notice that. 1Meg to ground will cover it.
> off the cathode are 1 hi pass and 2 low pass filters
That "hi-pass" is shown as 1uF and 1Meg||(3*0.82Meg) or 766K, 0.2Hz. It's just DC block.
Ignore V2. Well below 400Hz it is flat and in-phase. Well above 400Hz it is flat and flip-polarity, a minor oddity which the ear may overlook. The only deep question is what happens AT 400Hz? If you run these 2-pole networks same-polarity they will null. (This is used in some for-guitar tone controls.) The phase-splitter "fixes this problem", 400Hz is not nulled.