Great comment. Calcs are correct.
The "sweet spot" of my pressure chamber is 31 cuin or 36" x 1" Scd40 aluminum, pumped to 130 psi or one 12g cartridge. I got to that number by starting with a 72" chamber and lopping off 6-12" at a time and running shot tests. Here's what I learned:
1. You get different results depending on whether your using a bike pump or a cartridge. With the pump, you fill the device to a target pressure you see on the dial. With the cartridge, you fill from a fixed volume on gas.
2. Beyond a certain length, a bigger pressure chamber doesn't get you much. It adds size and weight and actually degrades shot performance, but in different ways.
3. On a pump, bigger volume means more time/strokes/effort to fill a big chamber to a target pressure. BUT you don't get any benefit for your extra work because, depending on barrel length and bag weight, the bag gets out of the muzzle before the exta energy can get on the bag. The oversize chamber doesn't hurt, it just makes you work harder.
4. On a cartridge, the oversize chamber hurts you by reducing the shot pressure. Surprisingly, as you shorten the pressure chamber, performance goes up dramatically, but only up to a point. You can actually hear this when you shoot. The sound goes from a "shoving" sound to a sharper "punching" sound. You start splitting bags.
5. During a shot, the bag inflates like a balloon due to the differential pressure across the bag. Halfway down the barrel, half the bag feels 150 psi while the other half feels atmosphere at zero. Air flows into and out of the bag, but not at the same rate so the bag inflates. This is actually very desirable ... It improves the seal to the barrel wall so you do't leak energy around the bag and it guides the bag better to stabilize it as a projectile. But there's a limit ... The bag rips at the seams. Bags are super strong in their traditional pulling direction with the ring. The inflating force stressed the bag across the seam instead of along the seam.
So what's up with all this?. The stock TS chamber is 22" long or about 1/3 larger than my 31 cuin "sweetspot". After they went with the butterfly valve, I installed the valve and cut 4" off their pressure chamber. Shots on cartridges got dramatically better; and it was faster to pump manually. BUT I didn't like it. My hand position to the valve wasn't as good and it made an Oldfart bend way to much to sight and shoot from the mortar position.
For a one-piece unit used with a pump, I think TS has got it exactly right. If you want cartridge option and/or the mortar position, I like the 36 X 1 chamber.
One very last thing ... And I haven't published this ...
Late last summer I started fooling around with another wrinkle: A 36" barrel. Remember, once you've committed to a 36" chamber, there's really no penalty to trying a longer barrel ... It all goes in the same case. I THINK I was seeing better accuracy or "tighter groups". Maybe. A little. But I didn't have much time with it before the winter came in. If it turns out to be true, the improvement will be marginal, not dramaric.
Hope this is useful. I'exhausted from all the typing and looking for the Pi button on my calculator.
Tom