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As already mentioned, the P or Pop (in other words the transient) in your example consists of many frequencies ranging from subbass up to the higher midrange.
Sorry evosilica, my point is not clear to you. I was trying to point very directly, pun intended, to the blast of air. I deliberately wouldn't call it a transient, just to keep it distinct from the transient say at the start of a cowbell or whatever. No air blast.
Put it another way, the skin can identify this blast, and it's direction by the absence on the other side of the body part. This is separate from the sonic issue.
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for mastering/studio I clearly see a dilemma here
Indeed there are many, same in Mixing. Do we mix for iBuds or Speakers? The difference is vast.
But the notion of taking a Mix where someone has deliberately panned LF elements to the side, typically two complementary ones, and making it Mono in Mastering, doesn't seem wise to me.
Obviously I didn't meet Mr. Fourier literally, that is just a metaphor intended to indicate a course of study a long time ago.
I will not deal with the other similar comments, they strike me as disingenuous.
I will however deal with the suggestion that my auditory experience is Myth.
I am going to state this one last time, and then hope that Thomas request is honoured.
Beater hits Kick Drum head. Pushes it quite far in one direction. If the beater is released instantly by a drummer with such a great technique, i.e. me at a live gig in the presented waveform, the skin rebounds and then settles down to oscillating with a lower frequency tone. The waveform presented (yet again, this debate is a repeat) has blatantly higher levels in one direction. A blast of air results. A one directional blast of air with a trajectory. It will out a candle near the drum. It will be felt on the skin on the side of the body exposed to it, and not on the other.
The resources to prove this fact or Myth are available to most of us here.
If not, PM me and I will send you say just the first asymmetrical half cycle or the whole sample, whatever you want. Filter out all above 80Hz, play with it. Definitely try it played by one speaker only or panned entirely to one side.
Depending on how loud, how close and how full range the speaker, one will feel the blast on the skin of the side of the body presented to the source. They sound will be reliably locatable by ears. Although everything above 80Hz has been removed, there is generally quite a lot of harmonic distortion in LF speakers struggling to cope with this stressful impulsive, asymmetrical, tonal and rich in harmonics, source. Also port noise....
There is a difference between the hypothetical, or idealised to unreal simplicity, situation
A Kick drum coming from one speaker sounds different to coming from multiple. There is no Myth.
On consideration, I do think this very particular instance, the Kick Drum, is pertinent to the Topic here.
It is very common and if it sounds different on a LF managed system to multiple full range we have to make a choice.
I will try to find the some of what I have seen written promoting the multiple full range option, just for some balance.
The benefits of LF management are well known, but there are other views. And let's face it really full range 5.1 has well, 5 subs.
DD