AncientMariner
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I thought of an example to illustrate that I don't mean that in a mumbo jumbo way:Our brain is a powerful EQ on its own and has expectations how combinations of sounds should sound like.
Imagine you listen to a girl singing who is standing in front of you. You now move 20 meters away from her, and the volume of her voice is reduced. According to the research done by Fletcher-Munson, the lower frequencies of her voice will have dropped off by some dB to your ears.
But your brain will compensate and her voice will sound the same to you just at a lower level. You're not going to think "wow, her voice sounds really thin now". You brain EQ'ed the missing dB.
Now you listen instead to a girl singing through your speakers. You listen at 80dB and it's like she is standing in front of you. Now you reduced the volume by 20dB. If you use Fletcher-Munson curves to compensate for the lower volume, you boost the lower frequencies of her voice, and all of a sudden her voice sounds muddy and dark. Because you brain will not accept this is the tonality of her voice at this volume level/virtual distance.
This is why I don't think it's correct to compensate using Fletcher-Munson curves.
We can, however, boost the overtones/treble to add clarity, and the sound below 200Hz to add some of the tactility that was lost due to the lower volume because it won't impact the tonality of vocals and instruments that much.
I think the objective with loudness should be to obtain a pleasing sound, which may include tricking our brain. The accurate representation is to play back the music at the same level it was recorded.