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Sound effects in a room
The room can sound different then expected due to a few
properties
of the room (most information gotten from Everest [2001]):
- Influence of the ear
The ear does have some averaging function over a third of an octave
(an octave is the frequency range between f and 2*f)
Also keep in mind that due to the equal-loudness contour, the ear is
not always the proper instrument to determine the real sound-pressure
level.
- Room dimensions
These basically determine the normal modes in the room. These normal
modes should be measured with the speaker and microphone in opposite
three
wall corners. - Number of the normal modes, especially in low
frequency range
Coloration can happen in a small room when (Gilford rule):
- axial modes are at almost the same frequency or
- when there is a major gap (more than 20 Hz) between the axial
modes.
Both issues change the sound impression of a room.
Coloration makes speech or music different; part of the sound
spectrum
is like in open air and the rest is as in an enclosed space.
- Gilford rule on modal coloration (Everst [2001], page 351)
- Modal coloration most of the time could happen between 80 and
300 Hz
- In neolithic times humans were smaller
- human pitch range ~ 6% higher: 115 - 140 Hz
- Monte Carlo analysis with above pitch range and chamber size:
1.5 - 6 [m], some 5500 runs
- Gilford-rules on modal coloration:
- major gap (>20 Hz) between axial modes: ~20%
- two axial modes in 5 Hz range: ~15%
- ~90% has at least one axial mode is in the human pitch range!?
- Thus modal coloration occurs by chance in at least 30% of cases
- Absorption
coefficient
The absorption coefficient of the walls does not change the normal
mode's position, but makes its energy lower/higher. The absorption
coefficient
is dependent on frequency. - Modal bandwidth [Hz]
The bandwidth of the normal modes is influenced by the absorption of
the walls/air. The more absorption the larger the modal bandwidth is. - Reverberation
time [sec] or Decay rate for low frequencies
[dB/sec]
The reverberation time (RT) is defined when a uniform and diffused
sound distribution exists in a space: so at 'high' frequencies where a
lot of normal modes exist (normally measured as a property of an
octave).
Not really defined for low frequencies (when the normal modes are still
quite scarce, thus below F2),
where the Decay rate would be more appropriate (normally measured at
the
frequency of the normal mode; for instance in a 3D waterfall frequency
response graph).
But in most literature the reverberation time is used in both
instances.
In case of looking at normal modes:
RT60 = 2.2/'Modal bandwidth'
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Major content related changes: March 9, 2002