I participated in a blind test between my Neumann KH310 speakers and a prototype speaker from a local hi-end monitor company.
The KH310, while a highly proficient device, hasn't been designed in a way to do anything with time coherence. Here's a REW sim for this 3-way speaker.
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So, it's a 3-way design with LR24 crossovers. As you can see, the 3" dome mid is more of a helper driver.
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These drivers on paper give a perfect frequency domain integration which, to be frank, is realized very closely in the real world as well. The phase, however, warps for every crossover point and there's some shift for the low-end roll-off characteristic of a high pass filter. These time domain effects are well visible in the step response graph.
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You can see three distinct blips where each of the drivers fire with some delay between each of them. The big question is, are we able to distinguish anything in the roughly 1.5ms space when all of this goes down? Current psychoacoustics says that our brains just sum everything together and it all comes out perfect in the end. The prototype speaker I was trialing my KH310's against had almost the same bandwidth and used a 2-way point source driver array similar to this (which is their older design) -
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I was told by their techs that for them an important design goal was phase coherence. So, the step response for the system should've been something like this -
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We did some SMAART measurements of both speaker systems and all of the curves essentially matched the sims with some room artifacts present.
So, how did it sound?
The difference between the two systems, despite having essentially flat AFR, was not subtle. The phase coherent speaker was able to produce louder transients, despite both systems being SPL matched. The other stark difference was in soundstage - both systems could portray almost identical apparent width, however the phase coherent system portrayed depth much better and localisation was more distinct, probably due to point source radiation.
After the listening session I had a word with the engineer and he mentioned one thing I haven't heard anywhere else - off-axis phase response or rather - time domain controlled directivity. When we RTA'd the phase coherent setup with SMAART, it was evident that going off-axis there was some tilting of the AFR response, yet phase changes weren't too pronounced.
Needless to say, I sold my KH310's shortly after.