The best design practice is to first choose dimensions for the room that avoid "stacking" of room modes. A room with dimensions of 15x15x15 would be TERRIBLE for sound quality because all 3 dimensions would support the same room modes. 15 x 15 x 9 would be better, but there would still be two reinforcements of the same room modes. The best room would be 17 x 19 x 21 since all 3 dimensions have DIFFERENT room modes that do not "stack up" and double or triple peaks or valleys in response. You can Google "calculating room modes" to find the formula to plug-in to a spreadsheet that will lead you to the best combination of room dimensions. I did this for a room in an architect-designed home we built in NY. It was so successful, that even before the home was finished, you could walk into the theater room and notice the resonance-free, reflection-free, and lack of boominess in that room even before drywall was installed. For a modicum of isolation, install "soft" homasote first with conventional drywall on top of the homasote. This helps reduce resonance transfer into the structure. If you are doing room within a room, the homasote can be applied to almost any surface in the the walls, ceiling and floor for increased isolation. The other thing we did was to put 45 degree flat surfaces about 12-inches wide in each corner (vertical corners and ceiling corners) to inhibit formation of standing waves. It all worked surprisingly well... making that room "sound" like no other room I've experienced since we moved from that home in 2006. Do not overlook room dimensions. Also... SYMMETRY of the room is critical for the best sound. If there is a window on the left wall, there should be a window of the same dimensions on the right wall with the same window coverings as the window on the left wall. If there is a door feature on the back wall of the room, the front wall should have the same feature. The left and right sides of the ceiling should be the same. Symmetry and dimensions are important. Also... stiffness of the room is important. Use 2x6 lumber for walls instead of 2x4 (2x8 is even better). Use 2 layers of 3/4 inch plywood for the floor. Put homasote on joists and studs to reduce noise transmission. Floor and ceiling joists should be closer than 16 inches and at least one size larger than building code. If you really want to go for noise transmission reductions, there is a drywall product called Quiet-rock that has alternating layers of differing materials. It is a drywall substitute that reduces noise transmission significantly. Use ducts with fiberglass lining for HVAC outlets in the theater room... you will be SO GLAD THOSE DUCTS WERE USED. If the fiberglass part is long enough before your room, the air coming out of the outlets will be silent. This was one of the best things I specified in the build-out of that room in our home.
Room modes will happen in positive and negative values with a frequency. For example, if a room has modes at 40, 80, and 160, when you alter something to shift the mode, all the frequencies of the mode will shift. The spreadsheet you create will reveal the frequencies of the modes. What you want is for the modes to be spread out as much as possible and that they are not allowed to "build up" where 2 or 3 dimensions have modes at the same frequencies. This is a fairly basic means of dealing with room modes that does not fully address axial, tangential, and oblique modes at the same time. I found breaking the room modes spreadsheet down into axial, tangential, and oblique modes so that ALL modes can be reduced turned out to be too complex for this project. I only concerned myself with the primary modes.
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