The terms Diode, Triode, Pentode, etc. refer to the number of elements inside of a vacuum tube.
In terms of the Stiletto or the Road King, Pentode/Triode refers to the number of active elements in the EL34 power tubes.
I won't bore anyone here with the details of tube operation, but I will try to explain the difference between triode and pentode in idealized scenarios, and in layman's terms.
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Diode (TWO ELEMENTS:
The path of the electrons inside the tube is:
cathode (-), plate (+)
Your rectifier tubes are diodes. They rectify (convert AC into DC) because the plate can only attract electrons from the cathode when it is (+) charged. Since the plate is driven by AC (periodic (+)/(-)), it only attracts electrons during the (+) periods. Therefore, although the (-) periods will cause the output to be 0, it certainly eliminates the (-) part of the AC. Thus we have DC (although it is inefficient DC since we have these idle periods).
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Triode (THREE ELEMENTS):
The path of the electrons inside the tube is:
cathode (-), control grid (-), plate (+)
Comment: By introducing a (-) control grid, we make it more difficult for the electrons to reach the plate. You can think of this as one way of controlling the volume of your amp as follows: When you turn the volume knob up, you reduce the (-) charge on the control grid, thus making it easier for the electrons to reach the plate. Note that even a small change in the grid voltage has an enormous effect on the number of electrons that reach the plate.
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Pentode (FIVE ELEMENTS):
The path of the electrons inside the tube is:
cathode (-), control grid (-), screen grid (+), plate (+)
The fifth element is a *pair* of (-) charged "beam confining" shields which help to "shape" the ribbon of electrions and keep them focused on the path between the cathode and the plate (otherwise, some electrons would fly off to the sides of the tube, away from the plate).
To summarize:
1. Your rectifier tubes are diodes.
2. EL34's are pentodes, but your Stiletto or Road King can operate them in triode or pentode mode. In triode, there is only a control grid between the cathode and the plate. In pentode, there is an additional screen grid and a beam confining shield.
3. The result is that triode mode is looser, scoopier, creamier, more forgiving, and sounds more "airy." While pentode mode sounds more pointed, tight, and clips much higher than triode.
Personally, on my Road King, if I'm using EL34s for a clean or vintage-near-clean sound, then I use triode. Otherwise, I use pentode.
If you want to learn more about tubes, I recommend:
1. http://www.vacuumtubes.net/How_Vacuum_Tubes_Work.htm
2. At the end of the Road King owner's manual (which is available on Mesa's website), there is a great article by Randal Smith called, "On Triodes, Pentodes & Irishmen"
3. Randall Smith's article "Class A Explained."