I don’t know why you keep bringing up Fourier transform. Most of my tests don’t involve any kind of fourier analysis. Take the dashboard I post earlier for that Carver amplifier:
See those THD+N and SINAD numbers? They are computed *without FFT*. The analyzer simply filters out the 1 kHz tone and what is left is noise+distortion. It then simply reports that sum energy of unwanted signal as a ratio to the test signal. No FFT is needed or used.
You dont get it anything right but always half truth...
I never say that your measure use FFT, i indicated that they are used in the usual theory context about hearings that the ears work linearly and mainly in the frequency domain, this is the inspired Fourier theory of hearing in the frequency domain ... It is falseby being INSUFFICIENT to describe human hearings and DEMONSTRATED by Oppenheim and Magnasco...And Hans Van Maanen explain it COMPLETELY theoretically and for his own design ..¯Read it...
What you said about your OWN mesures is RIGHT in itself and you dont use FFT... But the Context in which your interpret what is "sound qualities" and what they MUST BE , is a theory of hearing that is falsified by psycho-acoustic experiments and by many audio amplifier designer...see above...
Fourier transforms then are an invaluable diagnostic tool to assess audibility because much of our knowledge of psychacoustics is in frequency domain, not time. In time domain, we are relative quite deaf. This is by design. When you listen to someone in your home, their voice gets bounced around the room, gets delayed (timing changes) plus attenuated and then mixes with the direct sound creating a "phase soup." So the notion that time matters is non-sequitur in most part.
You spoke like a used car sellers here... Where did i say that FFT is not invaluable in diagnostic ? Did i say that Fourier was an idiot ? I said that ONLY using it in the context of an audio theory of hearings based on linear and time dependant domain is TOO NARROW and direct us to false conclusions about audio qualities as human hearings recognize them...Musician for example speaking about timbre perception and picking each multiple timbres of instruments in orchestral recordings or playins etc...
And here again you spew half truth : The bouncing of waves in a small room can create a " soup" yes,but you FORGET to mention that the difference between a "perceived soup" and a balanced ratio ASW/LV in a specific room of precise dimensions is in the PRECISE TIMING and duration.... Reverberation is not always a negative phenomenon... If the timing is not right yes it will be a soup... But all acoustic art is in the TIMING AMOUNT... I know because i created my room...