Room Modes
As the tone from the speaker is raised in pitch, out of the deep bass octave and into the piano’s first bass octave (40-80 Hz), a new class of room acoustics develops, called Room Resonant Modes. The lowest frequency at which this can occur is called the long dimension axial (1,0,0) mode.
The fundamental room resonance is easily stimulated when the speaker is located at one end of the room and the wavelength of the tone played happens to be twice as long as the room. The wave from the speaker travels down the room only to bounce off the rear wall and return to the front of the room. During this time the speaker makes one full cycle of motion itself. It generates a tone exactly in step (or in phase) with its reflection. These two waves–the old reflected wave and the new one–add together exactly, without confusion. After a number of cycles the sound levels build, enveloping the room in resonance.
For a non-resonant tone, sound builds up in the room in highly disorganized manner. With resonance, however, the air is stimulated into a “sloshing” mode of behavior, not too unlike what can happen with a child in the bathtub if their to and fro movement happens to keep time with the water’s natural end-to-end slosh motion, called first harmonic.
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