I want to install resistors on a quad of outputs, having 2 bias pots, one per side. I'm thinking I should install one resistor per tube and then one to ground from the junction of each resistor pair.
I would simply give each tube its own 1Ω directly to ground. The value is in being able to measure each tube's cathode current independently.
Measuring from [EDIT:each cathode] to ground (mv), what will I be measuring? What is the multiplication factor?
x1.
Ohm's Law: Voltage = Current * Resistance.
You want to know the tube's cathode current, but measuring current directly requires you to break the circuit and use an ammeter's leads to complete the circuit so that circuit current flows through the meter. Or you have to use the transformer shunt method, requiring power off/power on with clip-on meter leads, or risk arcing as you probe the highest voltage in the chassis. Or you need a specialized current clamp to place around a wire carrying the current to be measured.
So the value of the 1Ω resistor is that you're replacing "Resistance" in the Ohm's Law equation with "1" so that milliamps of current through the resistor directly translate to millivolts measured across the resistor. No specialized equipment required, and no high voltage to probe.
So don't add any additional resistors between the 1Ω resistor and ground. Unless the amp is cathode biased, in which case you have the bias resistor to ground (but in this case you still only measure across the 1Ω resistor and nothing else).
Wattage Rating:
I don't know why people get carried away with thinking they need a high-wattage 1Ω resistor. One form of the Equation for Power is Power = Current
2 * Resistance. Decide on a maximum safe
sustained current for your output tubes. 100mA? 150mA?
Let's say you figure you'll never idle the tubes as high as 100mA. 100mA
2 * 1Ω = 0.1A
2 * 1Ω = 0.01A * 1Ω = 1/100th watt.
So any size resistor will work, the smaller the better. You'd probably prefer that resistor burned open before your output tubes melted. You also probably won't find a practical resistor small enough to act as a fuse, so whatever's cheapest should work fine. The only downside to small resistors is the difficulty of manually handling them.