A little basic amplifier / speaker theory:
Most speakers carry either a nominal 8-ohm or 4-ohm impedance rating.
Amplifiers do, too. A fairly typical impedance rating for amplifiers is 8-ohms. Connecting a 4-ohm load to an amplifier makes it attempt to double its output, so an amplifier that puts out 100 watts at 8-ohms will put out 200 watts at 4-ohms (in theory at least, not necessarily in the real world, but that’s another discussion).
Whether or not doubling the output is a problem depends on the amplifier in question. Many are designed to accommodate 4-ohm loads. Some are even designed to accommodate 2-ohm loads. However, if the amplifier is not designed for such demanding loads, it can be a problem connecting 4- or 2-ohm speakers to them.
Your new speakers carry a somewhat uncommon (but certainly not unheard of) 6-ohm nominal impedance rating. From what I can find, your Pioneer receiver delivers its rated 50-watt per channel output at 8-ohms. Some older stereo receivers could handle 4-ohm speakers with no problem; it’s hard to find anything on line about the specs, for yours but maybe you have a manual for it.
Bottom line, if the receiver is only rated for 8-ohms it should be no problem driving a 6-ohm load, especially if you keep the volume reasonable. If there is a problem, it will only be if you try to drive it to really loud levels for long periods of time. This will make the amp run hotter. The SX-251R probably has internal protection circuitry that will shut it down if it overheats.
So an impedance mismatch isn’t going to affect sound quality. Amps typically only clip if their inputs are overdriven, something that’s virtually impossible to achieve in a receiver, as it’s essentially a “closed system” (meaning the user doesn’t have direct access to the amplifier’s inputs, only the pre-amp inputs). Thus if there is a problem with a lower-than-rated impedance, the amplifier will probably sound fine right up to the point where its protection circuitry shuts it down.
Hope this helps.
Regards,
Wayne A. Pflughaupt