>> 20 Hz?
>
> That's approximately the lowest frequency that the human ear can 
> mechanically detect. There's no particular reason to expect this to be in 
> any way related to the rate of change in frequency spectrum that the human 
> mind can percieve.

Modulate a 1 kHz tone with a N Hz square wave.  At what value of N do you 
cease to be able to recognise the 1 kHz tone turning on and off?  I suspect 
it's somewhere around 20 Hz, you could easily figure it out with a sound 
editor program like Audacity.

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