There are multiple ways of looking at this.
1. Most AVR distribute their amplification power between the channels. If you see the specs they say - 2 channels drive, all channels driven etc. So if a movie needs good sound in all channels, the AVR will struggle to give you the sound. Conversely when that level of amplification is not needed, and you push the AVR, it will start clipping.
2. When you use an external amp on LCR, the AVR will have ample power to power the other channels. That way even when you push the AVR and the external power amp, you will have no clipping. Remember, nearly 80% of most movies go to these channels. Thus when you remove the need for power to these channels, the AVR will have enough strength for the other channels.
3. When you enhance the levels to hear the surround channels properly, you have to enhance the levels of LCR also. Otherwise you will have a skewed amplification. In such a situation, the 80% effect will push the LCR speakers in some parts of the movie leading to clipping.
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