Hola Pablo, y muy bienvenido al foro!
The studio construction is already underway
Hmmm.... that's a problem! It seems that you don't yet have any plan for how to build the studio, so I'm confused about how you can be building it already! Exactly where are you in the process? What have you built already? Where are your plans?
it will be located on a second floor
Since you added a sad face after that comment, I guess you already know that this is not the best place to build a studio, since it places limits on how much isolation you can get...
I would say the loudest thing being drum tracking
So you expect to have a level of around 115 dBC, maybe higher, in your studio? And you are going to build it on the second floor? I do hope your neighbors are a long, long distance away....
In the first floor below the studio there is no issue with noise transmission.
What about the other five sides of the studio? You only mentioned one direction, but there are six...
Our main goal is for about 50 db of transmission loss in the recording room
It is certainly possible to get 50 dB TL in a home studio (here's an example:
http://www.johnlsayers.com/phpBB2/viewt ... =2&t=21368 ), but only if you are on the ground floor... or if you have a LOT of money to spend on the complications that will arise from trying to get high isolation for low frequencies on an upper floor.
for a flatter response on the control room.
That is possible, if you build it big enough and treat it suitably. Follow the guidelines in ITU BS.1116-3 specification, and you will be able to do that. If you build it smaller than the recommend minimum size stated there, then you probably won't be able to achieve that... unless you design it very, very carefully, and treat it very, very carefully.
a control room sized 4m x 3.46m x 3m tall
That's not going to help you achieve your goal! That's only a little more than half the size it needs to be to get flat response. BS.1116-3 specifies a minimum floor area of 20m2. You only have 13.8. While it is POSSIBLE to have a room smaller than the ITU specs, it is going to be very complicated to treat that room, and it won't give you flat response even then.
Also, if those are the dimensions of the original room (brick walls), then that's no use: we need to know the dimensions of the final inner-leaf room, after you put complete the isolation system. How big will the final room be, AFTER you have built the inner-leaf, but BEFORE you put any treatment it?
The high ceiling is good: that can help. But the floor area is too small, really. Is there any chance you can make the CR bigger?
The wall between the rooms is 15 cm thick and it’s made of hollow brick. All the other walls surrounding the structure including the floor are 30 cm thick and are made of common brick.
That's useful, but what about the roof?
The floor for both rooms is made of lumber
What dimensions for that lumber? What is hte dead load and live load that it is carrying now? How much extra can it handle? What is the load-bearing capacity of that floor? How do you plan to reinforce it? Unless it is a massively built floor, with way over-sized joists, it likely will not be able to carry the huge load that you will need to place on it, in order to isolate a drum kit in the second floor. Did you get a structural engineer to inspect that floor? Do you have his report? You will need to know the load limits BEFORE you start building, to make sure that you don't overload it and cause it to fail.
The same with a door that connected each room with each other
Why? How come you do not want easy access between the two rooms? What was the reason that lead you to block up the doorway there?
Also putting 3 layers of liquid membrane (paint) on the ceiling since it had asphaltic membrane for about 40+ years in now.
How is hte ceiling built? And the roof? Do you have enough mass on those to ensure that your MSM resonant frequency will be low enough that you will be able to obtain the isolation level you want?
Since this is a small room I have considered an approach similar to Live End Dead End.
That's not a good idea. True LEDE design was a concept back in the 70's and 80's, but it was abandoned as it was found to be uncomfortable and fatiguing for long sessions: it does not sound natural. Nobody builds true LEDE rooms any more. There are extensions to LEDE, and modifications of LEDE, which are far better, and most modern rooms are designed using one of those principles.
There is a door near a corner I only have three other corners for super chunk bass traps and I will be positioning a super chunk on top of the observation glass.
I don't understand: That is NOT LEDE! If you are doing a LEDE room, then why would you have bass traps arranged like that? Your diagram does NOT show a LEDE room, either....
Should the four super chunks be a 1/4 wavelength of my lowest room mode on that surface?
Do the math, and you can answer your own question.

Your lowest mode for the dimensions you describe, is 43 Hz. The wavelength of 43 Hz is 8m. So if you want them to be a quate wave deep, then you would have to make your Superchunks 2m thick. So, 2m thick in the front corners, plus 2m thick in the back corners, means your bass traps would be taking up 4m of the room length, and 4m of the room width... which is sort of hard to do, because the room is only 3.46m wide!
There's your answer, I think: it would be physically impossible to have Superchunks that are 1/4 wavelength thick for your lowest mode. And you do NOT need to do that in any case: the "quarter wavelength rule" is a myth: porous absorption of the correct type can be effective down to 3.5% of the wavelength for randomly incident sound, and 7% for normally incident sound. Superchunks are usually about 90cm along the walls, or maybe as little as 60 cm, and there are other forms of bass trapping that can fit in lesser space.
Will all of this porous absorption be enough to calm the low frequency resonances?
No. Damping the room modes is more complex than just putting absorption in a couple of corners. Take a look at the thread I linked you to above, to see what the process is for treating a small room. That room ("the corner control room") is almost complete: just a few small details that we are working on still: Here's a link to another thread, that was completed a couple of years back, so you can see how a properly designed and treated studio can turn out:
http://www.johnlsayers.com/phpBB2/viewt ... =2&t=20471
In case 2 is a no, I have been experimenting with piezo mics in pieces of wood trying to understand how mechanical resonance works.
That depends on what you are trying to use it for! There are several ways that wood can be used in room treatment. From your comment, it seems that you are wanting to build membrane traps? Is that it? If so, for what purpose? What frequency are you targeting?
3) Will 20 mm plywood with a surface density of 3.75 kg m2 resonate as a panel at about 38cm at a frequency of 50.5 hz. (0 1 0 mode).
No. You are not understanding the principle of panel traps (membrane traps). The panel by itself is irrelevant. The panel is part of a resonant SYSTEM, that has to be built very carefully, and tuned properly. Even then, it's hard to do right. I seldom use membrane traps in studios I design: I do use them, but not very often, as they are such a pain to get right.
The principle is simple: you have a panel arranged over a sealed cavity, with a layer or porous absorption set a short distance behind the panel, inside the cavity, but not filling it. This is a pressure device, so it responds to the pressure component of the wave, not the velocity component (which is what porous absorbers respond to). The pressure changes in front of the panel cause it to move in and out, which compresses and then rarefies the air trapped in the sealed cavity. The air acts as a spring, and the panel acts as mass, so this is a simple one-degree-of-freedom resonant system. It will resonate at one fundamental frequency, and the porous absorber just behind the panel absorbs some of the energy of that resonance: it acts as a damper on the "spring" (air), just like the shock absorber in your car acts as a damper on the suspension springs. If you choose the materials carefully, and tune it properly, and test to make sure that it really is tuned to the correct frequency, then it can be useful... provided that you locate at the position in the room where the pressure peak for that mode is located, and provided that you make it large enough to deal with the magnitude of that specific mode! Even then, if you don't design it correctly, it can make matters worse, not better. A lot of people don't take into account that the membrane trap RESONATES, and the panel has a lot of MASS. Therefore, it takes a few cycles to even start reacting to the mode, and it can carry on resonating after the mode is already gone... which means that it EXTENDS the ringing of the mode, instead of REDUCING it.
at a frequency of 50.5 hz. (0 1 0 mode)
You do not have any modes at 50.5 Hz, based on the dimensions you gave! Your lowest mode is your 1,0,0 mode, not your 0,1,0 mode. Your 1,0,0 is at 43.1 Hz, and your 0,1,0 is at 49.8 Hz.
4) What should I use to bind the plywood to the resonating box for it to resonate easily?
That's part of the problem! In order for a for panel trap to work correctly, the panel must move as one single mass, like piston does in a car engine. If you do what most people do, and simply nail the panel onto a wooden frame, with glue in between to get a good seal, then it does not move like a piston! Instead, it bends in and out: the middle moves, but the edges are fixed. So it does not act as a panel trap! You know have bending waves going in as well, and that messes up everything, since bending waves move across the surface of the panel, not into the cavity, and hey occur at different frequencies for different angles of incidence.... So the device does not resonate at the frequency you designed it for, and it does not work. It will trap other frequencies (which are very complex to calculate), but it won't do a lot for the one you want it to. Room modes are high Q, and need a high Q device to treat. A membrane trap built with the panel rigidly attached is not a high Q device.
So, one way of dealing with that is to use a very flexible, thick, soft rubber seal, between the panel and the frame. That works... but then you have the problem that the rubber will deform due to the weight of the panel, and that de-tunes it. Plus, it still does not completely eliminate the problem with bending waves, because the theory assumes that the panel is totally rigid... but real panels in the real world are not rigid. Even very thick plywood still is not totally rigid, and can still have bending waves running in it... but you can't use such a thick panel in any case, because it would be be too heavy, and you'd run into the problem of the inertia of the panel extending the resonant tail, as I mentioned above.
So panel traps can work, but they are very complex to tune.
Sketchup .skp
I cannot open your SketchUp file, since I am using SketchUp Pro 2017. I will not upgrade until the have a version that makes sense, and 2018 makes no sense: it has the same bugs and limitations as 2017 (they did not fix them) and the only new features in there are of no use to me. So please save your file in SketchUp 2017 format.
REW Stuart's way
What are we seeing in that REW data? It does not seem to match the room dimensions you gave. At least, there's no evidence of the 1,0,0 mode, and the 0,1,0 mode is off by a couple of Hz. Are you sure you measured the room dimensions accurately?
Also, your sound card is screwed!
Pablo-REW--FR--Soundcard-screwed..png
That's not what a soundcard should show. Either you did the loopback test wrong and there is a feedback loop in your system, or you have a terrible soundcard that needs replacing. That's not a valid result.
There's somthing badly wrong with that data: it is showing decay times of 0 for several frequency bands, which is impossible:
Pablo-REW--RT--impossible..png
Even anechoic chambers do not get perfect zero decay times.
So there's something wrong with your calibration procedure, or measurement procedure. Please check it, and repeat the measurements. Also note what speakers and what mic you used (brand, model), and where they were located in the room.
- Stuart -