I'm not questioning the theory written by KOC and other guys but would like to get answers
to real practical cases:
If I bias a power tube hot using the maximum B+ let's say 318V and 470 Ohm cathode resistor
the tube works then on its maximum limit which means a certain character to the sound.
If I then decrease the B+ to 177V the tube will work much colder since I have not changed the
cathode resistor. The power will of course drop and tube starts to operate in different area.
Don't think "colder" at least not yet.
If the B+ was still 318v, and you lowered the tube current from 37mA to the 18mA you get with 177v, then yes you'd be running the tube colder.
Notice that when you drop the B+ from 318v to 177v (roughly half), the tube current also changes by a simlar amount from 37mA to 18mA (again, roughly half). Cathode voltage, which is the same as bias in this case, also dropped by about half.
That seems like a roughly same operating point, but as though the output tube were smaller. If you were inspecting tube curves and drawing a loadline for your amp, it would look like a loadline of the same slope (same primary impedance) sliding left as the intersection on the plate voltage axis happens at a lower and lower plate voltage.
To stay at the same relative operating point on your shifted loadline, you need to reduce the bias somewhat as the supply voltage drops.
As the bias gets smaller, the absolute size of the input voltage needed to drive the output tube to distortion gets smaller. A peak input signal that momentarily equals the bias voltage (+37v peak on a tube with -37v of bias) drives the tube to full output power and commences grid current.
So as your supply voltage drops, and the resulting bias across the cathode resistor drops, the input signal needs to get smaller as well to maintain the same point on the volume knob that distortion occurs. When KOC adds a master volume to a VVR/PowerScale circuit, it's to
turn down the distortion as the output stage is scaled smaller.
Scaling the whole amp attempts to automatically compensate for this, by making the preamp appear "smaller" too, and reduce its signal level driving the output stage.