What is the formula for working out the MSM frequency?
Here ya go:
2-leaf-3-leaf-double-triple-leaf-f0-EQUATIONS-GOOOOD!!!!!.jpg
For 2-leaf, there's a simplified version that assumes several things to be true, that normally are true for most situations:
Fc = c [ (m1 + m2) / (m1 * m2d) ]^.5
where:
Fc=resonance frequency (Hz)
c=constant (60 for empty gaps and 43 for with insulation)
m1=mass of first leaf (kg/m^2)
m2 mass of second leaf (kg/m^2)
d=interleaf spacing (m)
For imperial units the constants are 170 and 120, instead of 60 and 43
(The reason for two different constants is that with no insulation, the air acts adiabatically. With insulation it acts isothermally.)
I don't actually know what frequency I am worried about. What would that be?
The lowest fundamental frequency that an instrument in your room would produce, under normal circumstances. For a piccolo, that would be about 650 Hz. For a cathedral pipe organ, it could be 15 Hz. For an acoustic guitar, it would be about 80 Hz. For a snare drum, around 200 Hz. For a kick drum, around 70 Hz. For a 6-string electric bass guitar, around 35 Hz. Etc. So first you need to know what instruments you'll be recording in there typically, then you need to look at their spectrum, and also the intensity of the sound. An acoustic guitar doesn't put out much energy at 80 Hz, but a 22" kick drum puts out plenty, and a pipe organ puts out massive amounts at the same frequency.
So you find the lowest frequency that will have substantial energy in it. Halve that frequency (which is the same as going down one octave): that gives you the MSM resonant frequency you should be aiming for. The fundamental resonant frequency of your walls, ceiling, windows, doors, HVAC system, etc. should be no higher than that. The reason is simply because of this:
MSM-isolation-graph--amplification--reduction-#2-negative-image--GOOD!!!!.GIF
At the resonant frequency, not only do you not get isolation, you in fact get amplification! That specific tone can be up to about 20 dB louder than if there was no wall at all!

Simply because the entire system resonates: with each cycle of the oscillation, the amplitude increases slightly, just like a child on a swing goes higher and higher on each cycle from a slight extra push synchronized with the motion. The amplitude can get pretty big, especially in an un-damped system. It isn't until 1.414 times the resonant frequency that you start to get isolation. That's actually the point where you get back to no isolation, but above that the isolation increases pretty fast, and at twice the resonant frequency (or one octave above: same thing) you get reasonable isolation.
Would a 3 degree angle on the glass be a problem for the sound reflection in the control room?
It's not the angle itself that matters: it's the depth of the air gap between the two panes of glass, at the closest point. That's what defines the highest resonant frequency. If you can get that gap large enough with a 7° angle, then great! But if you can only get it at 3°, then that's what it should be. Will 3° be enough to deal with light glare?
What product could I use that is durometer 20 or less on Shore A? are there any examples?
Ordinary bathroom/kitchen caulk is in that region. The type of caulk that never hardens, and always stays soft, elastic, rubbery. Get a good quality caulk that sticks like crazy. Use the clear (transparent) type for this specific application, not the colored type, because the colored type is higher density. For sealing around the edges of walls and ceilings, between all joists, and under the sole plates of all your framing, you'd use the colored type of caulk, but for this specific application of your window gap, use the non-colored type, if you can. Some manufacturers do publish the durometer hardness of their caulk products, but most don't. However, they are generally in the range you need: Even up to about 35 Shore A would be fine, but most caulks are much better than that, on the range 20 to 25. Some are even better, down to about 18. But pretty much any good quality non-hardening bathroom caulk will do the job.
- Stuart -