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So in a listening system as long as the speakers have the same relative phase to each other; there will not be an appreciable difference.
Whether one can hear it or not (IMO) gets dicey as sine waves always get mentioned.
Percussion instruments are more like impulses, than continuous waves.
If a kick drum is blowing dust backwards off of the microphone, then I want my speaker to be blowing a toupee off the back of the head… and not sucking it towards the speaker like a black hole does accretion of stellar material.
Secondly, what signal that the microphone collected looks like, I want the pressure wave to look the same coming out of the speaker.
I do not want only the frequency response to look the same. I want the signal to be upright too.
Which means that I also prefer a step response to be faithful to what a step looks like.
This is irregardless of whether we can hear it. It is just a higher fidelity.
People can argue the “musicality“ of some multi-k$ cable, but the outputted signal is nothing like the inputted signal… then it seem’s like sort of a fail at some level.
But the point was more of, that they see the zip cord and since it is not an Odin cable , then there is an ad hominem discounting of any understanding being possible.
I am not the Dali Lama, but if the Dali Lama had a post on loving kindness,., but had an avatar with a MAGA hat… then visually half the people would assume that he was a nazi solely on visual cues.
Which I guess is the whole point of using nice looking cables and to some extent tube amps.
Visually if they look good, then they must also sound good.
(and visa-versa.)