Because spectrum of the sound will determine its shape as much as its timing. High frequencies have a larger effect than low.
that's not a satisfactory response to be honest - and it's not even related to the proposed question (just a slight-of-hand misdirection??). i had asked:
"the ETC is a time-domain measurement. how exactly is the Envelope Time Curve "extremely unreliable measurement" when analyzing the time (and thus corresponding total flight path distance) arrival of indirect specular energy?"
as i stated in my orig reply: "you could have electronic propagation delay (in the soundcard, for example) - but that is appropriately addressed by utilization of a simple loopback. something any competent operator is aware of. "
where exactly did you indicate timing discrepancies or that the actual indirect energy arrival is "extremely unreliable"? both plots you listed show the energy arriving at the same time offset from the direct signal (which could then be used to calculate total reflection distance and thus be traced back to the respective incident boundary). you seem to be showing an example of how to incorrectly use a tool or draw erroneous conclusions from a given graph (a classic case where the operator is not smarter than the tool). just as when someone draws erroneous conclusions solely from viewing the frequency-response. this time you are providing evidence via a "500hz band-limited speech" signal - vs a broadband signal as with home stereo reproduction.
my stereo does not solely reproduce 500hz band limited speech signals. analyzing my loudspeaker-room response in 500hz band-limited speech is not applicable to me in any regard.
i have never personally utilized the ETC to hunt down "500hz band-limited speech signals" in any audio reproduction environment. is this something most people do here commonly? is it how you "tune" a room?
i for one analyze and "treat" my room (to my pre-defined requirements) based on the full bandwidth my loudspeaker is radiating into the bounded space - and use the ETC to identify spurious indirect signals that are non-broadband and that Toole explicitly states i should absorb.
The above is not a surprise to anyone with basic understanding of signal processing. But very non-intuitive to people outside of that domain. I suggest not using ETC or advocating it without understanding said science.
the ETC is a great tool to understand the time-arrival of spurious indirect specular energy. especially to hunt down destructive indirect specular reflections that are not broadband (ie, when a loudspeaker does not exhibit controlled dispersion as so many do today -
and as Toole recommends to absorb said reflection). even if you have a loudspeaker with good off-axis response (CD), Toole explicitly states it is a matter of taste whether one prefers more pin-point imaging vs broadened (at the expense of accuracy) imaging. so if i personally choose to identify indirect specular reflections and trace them back to their incident boundary (reflection point) where they can be treated, i would do so with time-domain data (thus flight path distance) acquired from the ETC.
nothing you provided in your response invalidates this methodology.
the frequency-domain (frequency response) doesn't provide me any information as to how to identify these destructive indirect reflections and how to trace them to their incident boundary and verify they have been attenuated post-treatment. as Toole states, a reflection from a loudspeaker with poor off-axis response should be absorbed/attenuated, and the ETC is a great tool to hunt down these destructive reflections to their incident boundary. the ETC can also be used to hunt down other "non-obvious" sources of indirect energy that must be addressed - vs that of obvious "first-order sidewall reflections".
Dr. Toole says it best after above example:
"All of this is especially relevant in room acoustics because acoustical materials, absorbers, and diffusers routinly modify the spectra of reflected sounds"
this is a classic case of operator-error. using a thin porous absorber is not an effective broadband device and merely "EQ's" or "colors" the reflection, turning it into a LPF. this has been well known and understood in the acoustics world since well before Toole's publishing - and hence why the recommendation for absorbers (when they are chosen to be used) to be of sufficient thickness in order to fully attenuate a broadband signal.
a user applying a thin absorber such as foam or carpet/rugs does not invalidate or qualify your claim that the time-domain information in the ETC is somehow "extremle unreliable".
you seem to be inducing some distraction and "slight-of-hand" to deflect from the proposed question.
I explained all of this to you repeatedly in AVS Forum. Years later you are still repeating lay-intuition nonsense that misleads people into screwing up their rooms, spending a ton of money uglifying them to boot. Spend some time learning the science for heaven's sake.
edit: there's simply no need for personal attacks and false insinuations such as this.