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Slew rate is the change in voltage over time. If you hook an amplifier up to a switch and switch it from -10 to +10v, instantly, the amplifier will not change its output instantly. It "slews" at a certain rate: usually this is expressed in Volts per micro-second.
The biggest thing that you can hear is the slew rate effect on the highest frequency that an amplifier will produce at a given gain.
The "colored" tube pre-amps are often designed this way. There may be feedback controling the bandwith of the preamp, but the first stage will not have enough slew rate to keep up with the signal at the gain it is set to. This causes mild to severe distortion and is usually considered pleasing especially when the rising and falling slew rate aren't the same.....
-tINY
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