"ahem"...this thread is three years old...but don't feel bad, I did the same thing two days ago

But I do want to add a few things regardless, for those who will still read this thread. Here is the first question.
In my backyard I am building a practice studio which has double-wall 2x4 stud construction with a 4" airgap. My question is insulation. I am going to put insulation in both walls. Should I use 3.5" insulation in each wall to maintain the air gap, or is it better to use 6" insulation in each wall. Using 6" insulation means that the 2 layers of installation would be touching. Would that defeat the purpose of the airgap?
This is a peculiar situation Take a look at this.
As you can see, its very clear, that a TWO LEAF-MASS AIR MASS assembly performs much better than either a THREE LEAF or FOUR LEAF system, especially when ONE LEAF is decoupled from the other by either Resiliant channel, staggered stud, or double walls. However, in all cases, this presents a conundrum, which may or may not apply to your particular local codes, although I think most American metropolitan and even rural Building codes are adapted from the UBC(Uniform Building Code). Now I'm no expert on the UBC by any stretch of the imagination, but common sense tells me residential stud wall framing requires a FIRE STOP, which is simply a wood spacer, nailed between each pair of studs approximately 48" from the floor. Since this spacer is captured between the studs, and the drywall on each side or exterior sheithing, it places a barrier to a fire that starts in a lower area of a wall or floor. Hence the term fire stop.
However, when you build any type of studio isolation wall, especially double wall scenarios, the purpose of "decoupling" one framing from the other requires that NO rigid connection exists between each framing assembly. This means, there is NO way to physically place a "captured" fire block in the airgap that touches BOTH LEAFS. From previous threads posted here in the past, it has become clear that INSPECTORS, who sign off on construction that has been built with PERMITS, have REQUIRED a rigid stop placed in such a way where the airgap is blocked to prevent the spread of fire. It was just this type of problem that prompted a little research.
What I found was that some municipalities had a code that solved this problem with double walls, by filling the airgap from leaf to leaf, at least 24" high with insulation to act as a fire stop. As far as I understand it, as far as sound is concerned, this actually improves the transmission loss of the assembly. I wont't go into to it though. But there are some other "net fact" issues in the last two posts that need some clarity and outright correction.
You should fill in the gap with insulation unless you can make it airtight gap to lead to the warmest/cooling in your filling, because your actually then creating what is known as a vacuum, dead space, in there if it is completely sealed.
I'm sorry, but it is impossible to create a VACUME in a framed wall airgap. A hermetically sealed airgap yes, but vacume, no. Dead air space is correct. But you lost me on the... "unless you can make it airtight gap to lead to the warmest/cooling in your filling" part
Same with this..."When I build double layered wll I tightly combine the two wall and off axis the whole thing so there are never two alike, warmest possible in combination,".....

Can you clarify that?
Next...
But I also sheetrocked the backside of the inner wall,it wasnt easy,but it helped
According to the TESTED ASSMBLYS above, it appears you have built either a three leaf, or four leaf assembly. Too bad you didn't see this first.. You could have saved a hassle, time and money on a BETTER assembly.
. One more thing I tried to do,if you have the space, is to keep the dimensions of the room non divisible with each other. Like,..you dont want a 12x20x8. Try for a 13x21x8.5. That will keep standing echoes from occuring.
I believe this is incorrect. There is no such thing as "STANDING ECHO". Thats an oxymoron. An ECHO is a TRAVELING WAVE, not standing....otherwise..well, how would it be an echo if it was "standing"?

It is a Standing Wave, which can form between ANY two parallel surfaces, regardles of the length/hieght dimensions/ratio. I believe the dimension multiples, have to do with modal frequency distribution.
Ive done this a few times and learned a trick or two along the way.
Hmmm, I bet you did. The trick is figuring out if they worked better than TESTED assemblys. If so, maybe you should contact the experts.
fitZ