bigshot
Headphoneus Supremus
The "transients" I am referring to are sudden impacts that result in very rapid increase (or decrease) in sound level... the strike of a drum, the crash of a cymbal, the initial bite of the bow on the string. These are more amplitude transients, though indeed they are the accumulation of waveform transients across frequencies, aggregated into an instantaneous power level.
Not exactly instantaneous... If you look at the waveforms of even the sharpest drum hit, they take place over many many samples. When you talk about transient response as it relates to phase shift, you're talking about an error that is several orders of magnitude below the transient of any quick impulse that occurs in music. The big problem I see in the way time errors are discussed in audiophile circles is that no one bothers to compare the scale of the time slivers they are talking about. The discuss absurd concepts like PRaT as being something that affects the timing of the music, or claim that higher bitrates allow them to hear the ring out of reverb longer... or that transient response that affects square wave rendering somehow is in the same ballpark as the transient response of a drum hit. Scale matters a lot.
Originally, I posted a figure up there for the lowest JDT (just detectable threshold) for phase shift being 1 ms at 500kHz. My math isn't great, but with some struggle, I can wrap my head around how big that is. I can guesstimate that the amount of shift using rebooks sampling as a guide would have to be spread over 40 samples to become audible. That is pretty huge. And if you look at the listening test results in the second link I posted, even with headphones, even 8 ms wasn't clearly identifiable in any of the musical samples, and that would mean that it would cover 320 samples. Are there any headphones with phase problems that large?
Again, this isn't my area of expertise, so feel free to correct me if I'm missing something.