This is rarely discussed but I recall Andy Lewis addressing the issue in the instruction manual I received with my Acme B-4. There is a "damping" factor which needs to be taken into consideration which is why SS power amps were recommended for this particular enclosure. I can't provide any details but perhaps somebody can shed some light on the matter.
All amplifiers have an inherent internal resistance that acts like a resistor in series with their output sections. The lower this internal resistance, the higher the "damping factor", and theoretically the tighter the bottom end. I know, that sounds like geekspeak... even my eyes are glazing over. Still, I'm going to take a shot at explaining how this affects the speaker's response down low.
As far as what the amplifier section itself "sees", this internal resistance is effectively added to whatever the speaker's voice-coil resistance is. And the effective voice coil resistance, or Re, in turn affects the woofer's "electrical Q", or "Qes". In fact Qes is proportional to Re, so Qes goes up proportionally as we increase the effective voice coil resistance. This matters because Qes is a major factor in determining the shape of the frequency response curve. "Damping factor" is typically calculated by taking 8 ohms (an arbitrary "typical" value for a speaker load) and dividing it by the amplifier section's internal, or "output", impedance. To calculate the amplifier's output impedance from a damping factor specification, divide 8 by that number.
Solid state amps tend to have a much higher damping factor (lower output impedance) than tube amps, and this is at the root of the notion that tube amps and ported boxes don't mix, because a lower damping factor = higher output impedance = greater effect (increase) on the woofer's electrical Q = might become boomy.
BUT, this is not some mysterious "loss of control"; rather, it is something that can be modeled quite reliably with an ordinary speaker modeling program, and it ends up being a bump in the frequency response curve.
Let's walk through an example so that we can get a feel for this.
Suppose we have a tube amp with a damping factor of 5, and we want to see how much of an effect that will have on the speaker's frequency response curve relative to what our modeling program predicts. We first need to translate damping factor into output impedance, and that would be 8/5 = 1.6 ohms.
Next, let's assume that we're all geeks (otherwise, why have you read this far??), so we know the cab manufacturer is using the Eminence 3012LF woofer. This is an "8 ohm" woofer, but the actual voice coil DC resistance, Re, is 5.6 ohms. How do we know that? Geeks read spec sheets.
First we need to start with a, ah,
baseline, for comparison purposes. Let's say we estimate the cab's net internal volume at 2.0 cubic feet, and guesstimate the tuning frequency at 50 Hz. We plot the curve and it's pretty flat: +.7 dB at 200 Hz, +.5 dB at 100 Hz, 0 dB at 62 Hz, and -3 dB at 49 Hz. For all practical purposes, this predicts the frequency response curve when the cab is driven by a high-damping-factor solid-state amp.
Now let's bring in our tube amp, run some calculations, and see what happens. We need to see how much Qes changes. So first, we need to see how much the effective voice coil resistance changes. Re' (pronounced "R e prime", the resulting new effective Re) = Re + amplifier output impedance = 5.6 + 1.6 = 7.2 ohms. So the ratio Re'/Re = 7.2/5.6 = 1.286. This is the factor by which Qes will be increased and become Qes' (Q e s prime). So Qes' = (Re'/Re) x Qes = 1.286 x .34 [from the spec sheet] = .437.
Now we go back and re-run our modeling program, substituting Qes' for Qes, and Re' for Re (if the program calls for Re). We get +1.0 dB at 200 Hz, +2.1 dB at 100 Hz, +1.2 dB at 62 Hz, and -2.5 dB at 49 Hz.
So over the two octaves from 49 - 200 Hz, this cab will average about 1 dB louder when driven by our hypothetical tube amp. The greatest difference is in the upper 70's through mid 80's, where it's almost 2 dB.
Now is this going to make the cab boomy? In this case, I think not... the warmer bottom end may or may not be what you want, but I don't think it's inevitably undesirable. However if this was a 4 ohm cab, with two 3012LFs in parallel, Qes' would be .534, and that's getting to be on the high side. Now the difference in the upper 70's to mid 80's is almost 4 dB, and that's pretty significant.
All of the "loss of damping" or "loss of control" attributed to low damping factor tube amps is fully accounted for by what happens to the frequency response curve. In my opinion it would be more useful to speak in terms of "introducing some bumpage into the low frequency response", instead of talking about "damping", which most of us - myself included! - have a hard time translating into an idea of "what it sounds like".
All of the "tighter bottom end" of a solid state amp is likewise predicted by the lack of bumpage in its frequency response curve... but if the speaker design has bumpage already built in, then a solid state amp can't make it go away.
In case it isn't obvious, the above has been the "long answer" to whatever the question was.