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Damping FactorThe ability of an amplifier to control the movement of a speaker — the higher the damping factor, the greater the accuracy. Damping factor is calculated by dividing the speaker impedance by the output impedance of the amplifier. An amplifier's damping factor will decrease as the speaker's impedance decreases — that's why an amp running at 4 ohms will provide tighter bass than at 2 ohms.
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Don't put too much faith into the descriptions they give //content.invisioncic.com/y282845/emoticons/wink.gif.608e3ea05f1a9f98611af0861652f8fb.gif
It isn't the ability to control the movement of the speaker, it's the amps ability to maintain a constant output voltage as impedance changes.
Likewise, there is a threshold for damping factor (aswell as slew rate and SNR, for example) where going above that threshold does not increase "performance" any. For damping factor, most agree this is around 10 to 20. Going any higher won't yield you any benefits.....while a DF of 200 may be higher numerically than 100, you won't hear a difference between them because they are both over the threshold. And, again, most any amplifier will have sufficient damping factor to where it is a non-issue.
Same thing with slew rate.......it's essentially the maximum rate of change that an amplifier can reproduce. If an amplifier has a sufficient "rate of change" for the bandwidth of frequencies you are using it to reproduce, going any higher isn't going to yield any benefit. Once it has enough, it has enough....that's all that is needed. And again, most any amplifier will have sufficient slew rate.
And to clarify my comment on "Q".....damping factor is essentially a "Q", but with the way you worded your statement it seemed like an enclosures "Qtc" (commonly referred to simply as "Q" sometimes) was what you were thinking of (and really IS what is important to fast, punchy bass....along with having good mids).
So, as I said....just find a good quality reliable amp that makes the power you need into the impedance you have with features you want and cosmetics and a warranty that satisfies you.