To Sub Or Not To Sub, That Is The Question

That’s good otherwise it would just be more discussion! Turbulence is a term rarely referenced in loudspeaker design. Discovering the physics relating to 2 dimensional turbulence and its potential role in managing the enclosure pressure is a good thing.
When I went to school turbulence for acoustic waves was an x,y,z,t thing, not two-dimensional. Turbulence within the enclosure is one of many parameters used as part of any modern speaker (or subwoofer) design.

The only way to evaluate is to listen to a system with the subwoofer properly integrated. This is easily done by ear in this case.
Measuring the response is another way, and less subject to both listener bias and the limitations (lack of sensitivity) of our hearing at subwoofer frequencies. The question is not really of integration, which is usually determined around the crossover frequency, but the ability to cancel reflections (modes) all around the room over a broad band.

You are asking us to believe your claims without proof, buy your subwoofer, then see if we can hear the difference. Great marketing, especially when perceptual bias is considered, but I was hoping for actual proof of your technical claims. That is also easily done. This is not something for which you need a $30,000+ analyzer system; a $100 microphone and free software (REW) can be used to measure the in-room response. You mentioned previously that you could show graphs at several points in the room; a set of unsmoothed graphs taken at several places in the room, along with the locations and room dimensions defined, and the test system used, would be helpful.

Innovation is great but extraordinary claims should be rigorously proven.
 
When I went to school turbulence for acoustic waves was an x,y,z,t thing, not two-dimensional. Turbulence within the enclosure is one of many parameters used as part of any modern speaker (or subwoofer) design.


Measuring the response is another way, and less subject to both listener bias and the limitations (lack of sensitivity) of our hearing at subwoofer frequencies. The question is not really of integration, which is usually determined around the crossover frequency, but the ability to cancel reflections (modes) all around the room over a broad band.

You are asking us to believe your claims without proof, buy your subwoofer, then see if we can hear the difference. Great marketing, especially when perceptual bias is considered, but I was hoping for actual proof of your technical claims. That is also easily done. This is not something for which you need a $30,000+ analyzer system; a $100 microphone and free software (REW) can be used to measure the in-room response. You mentioned previously that you could show graphs at several points in the room; a set of unsmoothed graphs taken at several places in the room, along with the locations and room dimensions defined, and the test system used, would be helpful.

Innovation is great but extraordinary claims should be rigorously proven.
Turbulence can be 3 dimensional as in x,y,z and that is the normal condition for most turbulence. Look up 2 dimensional turbulence for more information on this physics gem. It’s hard to explain really unless there is interest!
 
Turbulence can be 3 dimensional as in x,y,z and that is the normal condition for most turbulence. Look up 2 dimensional turbulence for more information on this physics gem. It’s hard to explain really unless there is interest!
Extraordinary proof for loudspeaker evaluation is the percentage of customers that are satisfied. Not sure where you got your information for ear sensitivity but it bests the eye a million fold. I once read in a technical publication referencing the ear and eye sensitivities and it goes like this, if the eye could see with the same resolution that a healthy ear could hear it could detect the moon moving 1inch from the earth! Check it out as no listening machine is more sensitive. In that we all have independent environments and imperfect hearing conditions a proof of concept would require a consensus. My reason for posting here is because there is no consensus in the forum to use or not to use a subwoofer when all want to use one if improves the sound for them.
 

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