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(...cont'd)
Rooms sound better when bass trapping is added. Prolonged resonant
frequency decay times are reduced; non-resonant frequency rapid
decay time is increased, and frequency shifted resonant boom is
eliminated. Clearly, bass trapping in the listening room does equalize
the tone burst decay constants, in that both the mean and the deviation
of decay constants are reduced frequency to frequency.
Pink noise tests are typically used to EQ a room. Curiously, only
a minimal 1-2 dB readjustment towards equalization in the mid bass
is noticed after the transient features of the burst have been suitably
controlled by trapping. The slow sine sweeps tests of a trapped
room will show a slight 1-2 dB reduction in peaks and similar increase
in levels of the valleys of the response curve. The curve's fine
structure however, is obviously cleaned up and sharpness of the
variations is softened. This change means the 'q' of the room has
been reduced, and typically measured to be a factor of 4.

We've been discussing the decay transient of the tone burst. Now
we move onto the second significant feature of the tone burst, it's
leading edge, the attack. The critical element in the tone burst
attack is phase alignment. It's been long established that the phase
shifting of components of a complex musical tone is not discernable
for the steady state condition. But phase alignment is easily noticed
in the attack transient.
If we analyze the case of a speaker near a corner, we see that
two wave trains are simultaneously heard at the listener's position.
The direct signal from the speaker is laced with the weaker signal
reflected off the nearby corner. If we compare the phase of the
reflected wave train with that of the direct wave train, we see
that the reflected wave runs through a series of relative phase
shifts with frequency due to its turn-around path distance and subsequent
time delay.


Now, at low frequency this first reflected wave is not heard as
an ambiance effect, but rather as a simple sum effect. When we add
two same-frequency wave trains together we get a resultant amplitude
and phase shifted wave train that has frequency dependant features,
as this formal calculation shows.
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