Thank you for providing so much information. I agree that the red circles make sense for your speaker locations.
Apologies in advance for this: What I’m going to suggest is not something that you can buy off-the-shelf, to the best of my knowledge; however I will be speaking from experience.
Speakers with a very wide radiation pattern could provide wide enough coverage, but with an omni you’ll be getting a strong early reflection off the wall behind the speakers. Early reflections tend to degrade clarity and imaging, in particular image depth.
For that off-to-the-side sitting area, a unique problem arises: Even with wide-pattern speakers, the image will be strongly pulled to the near speaker because its output will arrive so much earlier than that of the far speaker.
Imo here is a solution: Imagine a pair of speakers with 180 degree dispersion designed to have their backs up against the wall. The INNER 90 degrees of each speaker (which would cover the living room sitting area) is of a fixed loudness, but the OUTER 90 degrees of each speaker has adjustable loudness. So each speaker would have two arrays of drivers: A fixed-SPL array for the inner 90 degrees, and a variable-SPL array for the outer 90 degrees.
What you would do is, turn down the loudness of the OUTER 90 degrees on each speaker, until you still get a decent soundstage in that off-to-the-side sitting area.
This can work because the ear localizes sound by two mechanisms: Arrival time and intensity. The near speaker will inevitably "win" arrival time, but if we reduce the SPL of the near speaker’s output by the right amount, the far speaker will "win" intensity (loudness) by a comparable margin, and the net result will be an enjoyable instrument spread from well off to the side. The effectiveness of this approach will vary throughout that area, but for everyone in that area it will be better than with conventional speakers whether omni or wide-pattern or whatever.
One beneficial side effect of getting the radiation patterns right for this approach is, we will have very little energy in the midrange and treble regions bouncing off the wall behind the speakers as undesirable early reflections.
Another benefit of the well-controlled radiation patterns is that the reverberant field would have essentially the same spectral balance as the first-arrival sound, so the tonal balance would hold up well throughout the entire space. This may not be the case with speakers whose radiation patterns change significantly, as that skews the spectral balance of the reverberant field, and the farther back you are, the more the reverberant field dominates the perceived tonal balance.
In the centered living room listening area, within the coverage pattern of each speaker’s inner-90-degrees array, each speaker’s outer arrays will just be adding a bit more spectrally-correct, late-onset reverberant energy, which is desirable. So everybody in the room benefits.
(I design speakers and spend time working with radiation patterns to help meet particular requirements, in case it wasn’t obvious.)
Duke
Apologies in advance for this: What I’m going to suggest is not something that you can buy off-the-shelf, to the best of my knowledge; however I will be speaking from experience.
Speakers with a very wide radiation pattern could provide wide enough coverage, but with an omni you’ll be getting a strong early reflection off the wall behind the speakers. Early reflections tend to degrade clarity and imaging, in particular image depth.
For that off-to-the-side sitting area, a unique problem arises: Even with wide-pattern speakers, the image will be strongly pulled to the near speaker because its output will arrive so much earlier than that of the far speaker.
Imo here is a solution: Imagine a pair of speakers with 180 degree dispersion designed to have their backs up against the wall. The INNER 90 degrees of each speaker (which would cover the living room sitting area) is of a fixed loudness, but the OUTER 90 degrees of each speaker has adjustable loudness. So each speaker would have two arrays of drivers: A fixed-SPL array for the inner 90 degrees, and a variable-SPL array for the outer 90 degrees.
What you would do is, turn down the loudness of the OUTER 90 degrees on each speaker, until you still get a decent soundstage in that off-to-the-side sitting area.
This can work because the ear localizes sound by two mechanisms: Arrival time and intensity. The near speaker will inevitably "win" arrival time, but if we reduce the SPL of the near speaker’s output by the right amount, the far speaker will "win" intensity (loudness) by a comparable margin, and the net result will be an enjoyable instrument spread from well off to the side. The effectiveness of this approach will vary throughout that area, but for everyone in that area it will be better than with conventional speakers whether omni or wide-pattern or whatever.
One beneficial side effect of getting the radiation patterns right for this approach is, we will have very little energy in the midrange and treble regions bouncing off the wall behind the speakers as undesirable early reflections.
Another benefit of the well-controlled radiation patterns is that the reverberant field would have essentially the same spectral balance as the first-arrival sound, so the tonal balance would hold up well throughout the entire space. This may not be the case with speakers whose radiation patterns change significantly, as that skews the spectral balance of the reverberant field, and the farther back you are, the more the reverberant field dominates the perceived tonal balance.
In the centered living room listening area, within the coverage pattern of each speaker’s inner-90-degrees array, each speaker’s outer arrays will just be adding a bit more spectrally-correct, late-onset reverberant energy, which is desirable. So everybody in the room benefits.
(I design speakers and spend time working with radiation patterns to help meet particular requirements, in case it wasn’t obvious.)
Duke