Until now, I kept things simple regarding delay and phase: subwoofer at the front, between the speakers, phase at 0°, and done.
Curiosity got the better of me, so I connected a hardware DSP to a secondary system (desktop, near-field setup) specifically to enable independent delay adjustment for the speakers and subwoofer. I also did some reading on the subject and ran a test using REW. I performed separate measurements for the left and right channels and the subwoofer - using the "Acoustic time reference" feature - then used the "Time Alignment Tool" to determine the optimal delay settings and entered them into the DSP.
The difference was surprisingly significant. Even though the speaker delay was only 3.9 ms - and despite the need to invert the subwoofer - the soundstage changed dramatically. The perceived amount of low-end is significantly reduced, yet what remains is crisp and precise. It now sounds more like a 2.0 system with extended bass response than a sub/sat system.
Paradoxically, this runs counter to the measurement results. By correcting the delay, there are fewer dips in the crossover region - meaning, in effect, more low-frequency output.

I explain this to myself by assuming that bass impulses were previously "stretched out," creating the impression that there was more low-end present before.

So that from "less" measurable low frequencies - here symbolized by two circles of different sizes:

..which, subjectively, was more present before, just stretched out and more washed-out.

For my main system, I have now acquired a hardware DSP as well and was able to reproduce the result there, too. Interestingly, with similar values (4ms delay, inverted subwoofer). Admittedly, it is the same room, but with midfield positioning, different loudspeakers, and a different subwoofer.
For the sake of completeness: the equalized frequency response (without target curve).

I was under the impression that I already had a well-balanced 2.1 system, but this marked a significant leap forward.
Curiosity got the better of me, so I connected a hardware DSP to a secondary system (desktop, near-field setup) specifically to enable independent delay adjustment for the speakers and subwoofer. I also did some reading on the subject and ran a test using REW. I performed separate measurements for the left and right channels and the subwoofer - using the "Acoustic time reference" feature - then used the "Time Alignment Tool" to determine the optimal delay settings and entered them into the DSP.
The difference was surprisingly significant. Even though the speaker delay was only 3.9 ms - and despite the need to invert the subwoofer - the soundstage changed dramatically. The perceived amount of low-end is significantly reduced, yet what remains is crisp and precise. It now sounds more like a 2.0 system with extended bass response than a sub/sat system.
Paradoxically, this runs counter to the measurement results. By correcting the delay, there are fewer dips in the crossover region - meaning, in effect, more low-frequency output.

I explain this to myself by assuming that bass impulses were previously "stretched out," creating the impression that there was more low-end present before.

So that from "less" measurable low frequencies - here symbolized by two circles of different sizes:

..which, subjectively, was more present before, just stretched out and more washed-out.

For my main system, I have now acquired a hardware DSP as well and was able to reproduce the result there, too. Interestingly, with similar values (4ms delay, inverted subwoofer). Admittedly, it is the same room, but with midfield positioning, different loudspeakers, and a different subwoofer.
For the sake of completeness: the equalized frequency response (without target curve).

I was under the impression that I already had a well-balanced 2.1 system, but this marked a significant leap forward.
