I think I see where your going with this.
However in commercial cinemas, why do the sub amps tend to have 3 to 4 times the power of the main speakers ? Even though they tend to have the same sensitivity.
Why is it when companies rate receiver power and don't test using the full bandwidth does the power increase ? I have always been under the impression that the low end bass frequencies demand more power, as well some speakers do demand more at the higher frequencies depending on the impedance curve. But not quite to the same degree in all speakers.
What is the impedance curve like on the RTi12's. Are they a pretty efficient speaker as Polk has stated ? Or are they the power hog's everyone states ?
Thanks for the input.

I always value your opinion.
You raise some interesting points.
First of all audio in large commercial spaces is a very different animal from domestic audio.
Loudspeakers may be problematic devices for the home , but for the large spaces they are a nightmare. That is why you so seldom hear good systems in large spaces.
The real problem is the coupling of the speaker and loading to the space. Sealed enclosures are hopeless and vented enclosures also couple poorly. TLs couple to an extent, but efficiency remains a problem. I have only had real success with huge back loaded horns the size of kiosks.
I'm totally unaware of any commercial system for large spaces that I would regard as true high fidelity speaker systems. I admit I set the bar high.
The only ones I have heard that have been any good have been highly customized systems by individuals that really know what they are doing.
My most successful system in a large space involved huge bass horns with 33 inch mouths, and huge tall linear arrays.
Bass horns really shine in large spaces, and you don't need a lot of power. They really couple to the space.
So I think commercial subs are fighting severe inefficiencies related to coupling to the space.
Cone loudspeakers do indeed become less efficient in the bass for a variety of reasons, so this has to be corrected for. This does consume a lot of amplifier power. However in tuned enclosures around resonance sensitivity increases greatly. Below tuning however, things fall apart quickly, but a speaker should never be driven at the point where the driver decouples from the enclosure.
Small cones are lighter and this is a big contributing factor to increased sensitivity.
To lower the fundamental resonance of a speaker, you have to make the cone heavier or the suspension softer, or a combination of both. However a very soft suspension requires sealed loading to prevent destruction. The rear cone radiation is totally lost and the rise in F3 from that form of loading has to be compensated, demanding enormous amp power.
Certainly in my system were the low bass system has a sensitivity of 93 db 1 watt 1 meter, and the pipes really couple with the room, the bass amps just coast. Despite that I can easily threaten the integrity of the room.
So the issue is not that bass reproduction requires enormous acoustic energy, the issue is the inefficiencies in producing that acoustic energy given the problems of cone drivers, especially if a small foot print is desired.
As far as the RTi12s, I have not heard them. However they break a number of Carter's rules for successful speaker design.
We have had a number of members complain that they seem bass shy, despite them having a very respectably low F3.
They do have a low impedance above tuning as you would expect from all those drivers. So yes, I can confirm they are a difficult load.
The real problem is that they are weak in the wind above bass tuning. I'm certain this is related to a crossover at 120 Hz, with suboptimal parts to boot.
A design like that really demands an active crossover.
Even with an active crossover, a crossover in that range is hard to integrate with a sub, as you will inevitably get crossovers far to close together in frequency. That is always a nightmare.
Any speaker weak in the wind around an above 100 Hz will always sound bass shy and lack authority in the bass.
From the data I saw, I would say those speakers in any HT set up should always be set to large, and the sub blended in probably around 60 Hz.