The cap stores 'charge' on a short term basis while the current through the tube (and potential voltage at the cathode) is increasing and then releases it again when the current through the tube (and the potential voltage at the cathode) is decreasing. In this way it 'shunts' AC (at the cathode) to ground. This increases the potential voltage between the cathode and the plate (more than it otherwise might be without the bypass cap there), because without the bypass cap, the cathode voltage would swing up and down slightly in-sympathy with the plate (because the varying (AC) tube current would otherwise cause the voltage dropped across the cathode resistor to increase and decrease respectively with the changes in cathode/tube current) thus reducing the plate-to-cathode voltage slightly, and thus reducing the overall gain. By putting a bypass cap in you are 'anchoring' the cathode voltage allowing the potential plate-to-cathode voltage (and hence overall gain) to be higher on the signal swings.
The size of the cap determines the rate at which it stores and releases 'charge' i.e.: smaller caps work on shorter AC wavelengths/higher frequencies. Hence you use a smaller value cap for 'treble boost' (because it only stores and releases the charge for higher frequencies).


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