The factory specification for 572B heater voltage is 6.3V +/- 0.3V @ 4A. My calibrated (NIST traceable) DVM measured 6.65V AC (True RMS) for the filament voltage @ 240V AC mains. This reading is beyond the maximum allowed and it should be corrected!
I decided to bring the voltage down, just slightly less than the recommended 6.3V.
The increase in the filament voltage is of no benefit to the output of the valve. 572B is performing at full output with even less than 6.0V filament voltage! My target voltage was 6.25V - about 0.4V down. A thing to note is that the voltage of my 240V AC line does not fluctuate a lot over time - just a couple of volts. Using resistors to correct the filament voltage is the obvious solution except sometimes it is hard to find the right ones for the job! Each amplifier will require custom values for the resistors (determined by the individual transformer and maximum AC line voltage).
To drop the voltage across a resistor by 0.4V (in my case) while drawing 8A of current (2 x 4A for each valve) results in calculated total resistance of 0.05 Ohms. To complicate the matter further, this resistor should be capable of dissipating at least 4W. To preserve the circuit symmetry (the filament secondary is center tapped) I decided to use 2x 0.025 Ohms /2 W resistors - one for each side of the secondary.
Precision current-sensing power resistors could be one possibility. Another solution would be to use a coil of small gauge Teflon insulated wire - AWG #22 for instance. The small gauge will cause the wire to heat up increasing the resistance and corresponding voltage drop. (Even better - coiled on a ferrite rod, thus creating a second filament choke - more inductance equals better choking in this case). I might actually try this someday but there is not much space in the tube's socket compartment and I want this to look neat.
Instead, I made DIY resistors out of Nichrome-60 AWG #22 wire (0.65 mm), left over from my Low-Q VHF suppressors kit. This wire has very high electrical and thermal resistance. To reduce the heating and thermal stress on the short piece of wire required for each 0.025 Ohm resistor (I am using two of them in series for 0.05 ohm total resistance), I actually made each resistor out of two paralleled 0.05 Ohm "resistors".
Recap - i need a 0.05 ohm resistor but for circuit symmetry, I'll use 2 x 0.025 ohm in series (one on each end of the filament winding, just before the filament choke). To increase the power rating of each 0.025 ohm resistor on the other hand, I'll be using 2 x 0.05 resistors in parallel to form the actual resistor.