I haven't done any personal listening with these amps for home use. One thing I noticed about them is, their power ratings all vary. It seems the majority of them don't give the same ratings, as most good home audio companies do.
With good home audio, the power ratings are more commonly given on a continuous basis. For example 100 watts per channel, with both channels driven simultaneously, at 20-20 kHz. These pro-sound type of amps might be a peak power rating, or a 1 kHz only rating. The Crown Xti 6000 says it gives 3000 watts per channel, at 1 kHz (6000 watts total for both channels).
The manual on page 20, shows a picture of the back of the unit. It states it only consumes around 1250 watts of power from the outlet, on its backside. Amps like these usually run at around 80-90% of efficiency, so some power is lost to heat. You can't get more power than it consumes on a continuous basis, except for short peaks, that the power supply has stored in its caps, for reserve. Those large ratings may be partially a peak rating in some cases, due to this reserve stored.
I noticed you have a Krell also. The Krell seems to give the true rating for its output power. It consumes up to twice as much wattage, than it gives out. With home audio, we are used to this true RMS rating on a continuous basis, like your Krell does. So in other words, the real continuous 20-20 kHz (both channels driven simultaneously) power of the Crown is a mystery.
Still, it is important not to turn it up too loud with a high power, or a low powered amp. An under powered amp can clip easier, and blow your speakers easier at times due to this clipping, as it runs out of power. If you're used to clean sounding equipment like the Krell, use your ears and quickly back off the volume at the slightest distortion warning sign. That should help save your speakers. I've used a lot of high powered amps on speakers, that were rated for only a small portion of the amps power, without blowing the speakers. This was by being careful with the volume. Being careful with the volume is important to saving your speakers, whether a high, or low wattage output amp is used.
