What is "MSM" or "MAM"?

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Soundman2020
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What is "MSM" or "MAM"?

#1

Postby Soundman2020 » Mon, 2020-Feb-10, 03:23

In another article here, I explain about "room in a room" studio construction. In that article, I mentioned "MSM" a couple of times, without going into too much detail.

So what exactly is "MSM"?

MSM stands for "Mass-Spring-Mass", and that refers to a very simple principle in Physics. In studio design, you also sometimes see this referred to as "MAM" for "Mass-Air-Mass", but that's somewhat misleading, so I prefer the more accurate "MSM".

OK, let me try to explain: If you are building a home studio as a "room-in-a-room", then you will probably start out with the empty shell of an unfinished garage, basement, or something like that, then within that shell you build stud frame walls, then put ceiling joists across the top of that, and put two layers of drywall on just one side of that framing, sealing everything carefully, etc.... then you have a well isolated room.

In technical jargon, you have created a proper "fully decoupled two-leaf MSM system",

Let's break that down:

"Fully decoupled" means that no part of your new structure touches any part of the original structure (except the floor, of course, but that's usually a massive concrete slab sitting directly on planet earth, so that is already doing a good job of isolating).

"Two-leaf" means that you have an "outer leaf" (the original walls and ceiling of the basement or garage), and you have an "inner-leaf" (the new walls and ceiling that you just built. A "leaf" just means a continuous, massive surface that encloses something. Your inner leaf in this case would be the "two layers of drywall on the stud frame". But those two layers MUST go on the SAME side of the studs, ie, one layer right on top of the other layer. If you put one layer on each side of the studs, then you would have a three-leaf system, which is bad (not intuitive, but we'll get to that in a minute). So you have two-leaves around your room: One is the original walls / ceiling, and the other is the "double-drywall-on-one-side-of-the-studs" that actually encloses the room.

"MSM System", as I mentions above, means "Mass-Spring-Mass", which refers to the principle of physics on which this isolation works. This is a bit harder to explain, but it is the key to why this isolation method works. If you hang a weight from a spring, and give it a nudge, it will bounce up and down for a looooong time, at a fixed rate that does not change:
MSM-Animated-mass-bouncing-spring-animated.gif
MSM-Animated-mass-bouncing-spring-animated.gif (341.32 KiB) Viewed 95 times
MSM-Animated-mass-bouncing-spring-animated.gif
MSM-Animated-mass-bouncing-spring-animated.gif (341.32 KiB) Viewed 95 times

It doesn't matter how hard or how gently you pull down on that weight before releasing it, the rate of the bounce will ALWAYS be the same, at "X bounces per minute". It is a tuned system that is resonating at its natural resonant frequency. If you wanted to make it bounce faster or slower, then you would have to make the weight heavier or lighter, or you would have to change the spring for another one that has different "resilience" (in other words, a harder or softer spring). There's no other way you can make it bounce differently, because the mass and the spring act together to "tune" the system to a specific frequency. This is the basis of the "Mass-Spring-Mass" principle.

Another example: Have you ever pushed a child on a swing?
child-on-swing-pushing-animated-2.gif
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child-on-swing-pushing-animated-2.gif
child-on-swing-pushing-animated-2.gif (161.51 KiB) Viewed 95 times

Notice that the swing only ever goes at one rate, no matter how hard or soft you push? For each child, the swing will always complete full cycles in exactly the same time period: "X per minute". To make it go faster or slower, you have to put in a lighter or heavier child, or change the length of the ropes. This too is an "MSM" system.

Another example: A grandfather-clock pendulum,
grandfather-clock-animated..gif
grandfather-clock-animated..gif (797.02 KiB) Viewed 95 times
grandfather-clock-animated..gif
grandfather-clock-animated..gif (797.02 KiB) Viewed 95 times
... the pendulum always swings at the same rate, which is why pendulums used to be used for timekeeping.

These three are all examples of tuned "mass-spring" resonant systems. In the case of the swing and the pendulum, its not so easy to see where the "spring" is, but basically it is gravity.... think about it.

So, going back to the kid on the swing: what would happen if you tried to force that swing with the child to go at a DIFFERENT rate? Let's say that you want it to go 50% faster: how do you do that (without changing the child or the ropes)? Answer: you cannot do it easily, since the mass and the spring (rope/gravity) are resisting all changes to the resonance of that system. You would have to physically force the swing through the entire cycle, using all your strength at each point to make it go at a different speed. You'd have to put a lot of effort into doing that, but as soon as you release the swing, it will immediately go back to swinging at its natural rate, effortlessly.

OK, your studio wall does the exact same thing. The only difference is that there are two masses connected by a spring, but the concept is the same. The two leaves (outer-leaf and inner-leaf) are the two masses, and the air in between them is the spring. The wall is a tuned MSM system. It wants to resonate at only one natural frequency, and it does not want to resonate at all other frequencies. There is one frequency where it will vibrate and resonate and sing like crazy, directly and effortlessly passing all the energy from one side to the other. So what good is that to you? Well, if you tune it so low that the resonant frequency is BELOW the threshold of human hearing, then it will naturally resist passing all other frequencies! We have a word for that: isolation. :)

So if you tune your walls such that the resonant frequency is below 20 Hz (generally considered to be the lowest frequency that we humans can hear), then it will isolate across the entire audible spectrum.

The way you "tune" the walls is the same way you "tune" the kid in the swing: either you change the mass (get a fatter kid, or skinnier kid), or you change the length of the rope. In the same way with your wall, you can change the mass on each leaf, or the distance between them (the spring). More mass = lower frequency. More gap = lower frequency. So you simply select the amount of mass and the size of the air gap such that the resonant frequency is lower than the lowest frequency you want to isolate. Easy!

That's how you isolate studios! :)

OK, so this is where most people think: "Well, if a one-leaf wall by itself is bad, and a 2-leaf wall is good, then a 3-leaf wall must be fantastic!" Wrong. Not intuitive, but a 3-leaf wall is actually WORSE than a 2-leaf wall, all other factors being equal. In other words, if instead of putting those two layers of drywall on top of each on the same side of the studs, you decided to put one layer on each side, well that wall would not isolate very well at all in the low frequencies. Same mass, same total air gap (just split in two), same total wall thickness, but worse isolation. Sounds wrong, but it works like this: if you change anything in that wall, then you re-tune it to a different frequency. Remember that I said that the way you tune a wall is with the size of the air gap and the mass? Well, now you have TWO air gaps, and they are both much smaller than the original big one, so the resonant frequency of each is much higher. And you have also split the mass, so the mass on each of these two leaves is now much lower, so the resonant frequency went up again! It turns out that your wall is now tuned to resonate well within the audible spectrum, and therefore does a lousy job of isolating low frequency sounds. Things like kick drums, snares, toms, bass guitars, keyboards, and anything else that plays low notes, will simply not be isolated. In fact, mathematically a 3-leaf wall has two additional resonant frequencies, called "F+" and "F-", both of which are much higher than the F0 frequency for the equivalent 2-leaf wall.

There are equations for figuring all this stuff out, but as a general rule you need two layers of 5/8" drywall on each side of an 8" gap to get full coverage of the entire spectrum. Consider that normal 2x4 studs are actually 3 1/2" wide, and you have two stud-framed leaves in most home studios, that's already 7": so if you have a 1" gap between the original outer-leaf frame, and your new inner-leaf frame, then you have an 8" gap!

Back to the kid in the swing. If you really want to interfere with the resonance of that swing, then you could do something to add some drag on the system. For example, set it up over a deep puddle of water, so that the kid has to drag his legs through the water on every cycle. Now you have drastically increase the damping factor, and it just won't swing very well at all! (I mean "damping" not in the sense of "wetness" here, but in the sense of drag, viscosity). The resonant frequency is still the same: same kid, same rope, same gravity. But now the swing hardly moves, because the motion is damped by the viscosity of the water.

Well, you can't fill your walls with water, but you CAN fill them with fiberglass insulation! It turns out that plain old fiberglass or mineral wool insulation does a great job of "damping" the resonance of the wall, thus making it isolate even better. In fact, acoustically, the gap now seems bigger to the sound waves, so you get a double effect from the fluffy stuff: It makes the sound waves take a path through the wall that is an average of about 1.4 times the actual distance, which lowers the resonant frequency even more. Good stuff!

OK, so the whole MSM thing is actually a bit more complex than that, and I'll update this article with more information in the future, but that simple explanation above should help you get your head around this principle behind acoustic isolation..

"Fully-decoupled 2-leaf MSM" is the absolute best way to isolate a room at low cost.



- Stuart -



crazyboyliberty
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What is "MSM" or "MAM"?

#2

Postby crazyboyliberty » Sun, 2020-Feb-23, 05:42

This is super interesting! Thanks for this.




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