Room Acoustics 101
Nothing can improve the
quality of your church sound system as much as determining the proper placement
for your loudspeaker system.
Upgrading your speakers can
make changes in the range of 1 to 5 decibels. But simply changing your
speaker position can make differences in excess of 15dB in response! Who
would buy a loudspeaker product with a +/-15dB swing in response? Regardless
of what speaker system you currently use, a basic understanding of the
room & loudspeaker interaction and the applied fundamentals can help
you make a substantial improvement in your systems performance.
There are no magic formulas
for ensuring great sound in every room. We can however, identify and gain
an understanding of basic acoustical principles. Some basic equipment including
a 20' measuring tape, a test CD with a variety of test tones, an inexpensive
analog sound pressure level meter and a calculator can reveal more information
than you may want to know.
Like a speaker, every room
has its own frequency response. To make things more complex, the response
varies with the listener's location and the room's dimensions construction,
and furnishings. Room dimensions determine standing wave frequencies. In
general, rooms with dimensions that are divisible by a common factor, like
10' x 20' x 30' tend to compound standing waves at one frequency.
Room dimensions with non-equal
or divisible dimensions are best. Vaulted ceilings, non-parallel walls
and irregular surfaces help reduce slap echoes, but have little effect
on low frequency standing waves. Room construction affects bass reinforcement,
the noise floor, and adjacent room noise. The average drywall wall resonates
around 70Hz. Doors rattle, windows sing, air vents whoosh. Just grab your
test CD or tone generator, play a sweep tone and listen. The difference
in sound you will hear during the sweep is almost entirely due to room
coloration.
Let's begin by discussing
how the length of a wave relates to its frequency. This understanding will
allow you to take a methodical approach to understanding room response
problems. Sound nominally travels at about 1130' per second. The human
ear can typically detect frequencies from 20 vibrations per second (Hertz)
to roughly 20,000 vibrations per second. We can calculate the wavelength
("l") of any frequency by simply dividing 1130 ("v" or velocity) by the
frequency ("f"), using the formula l = v/f.
Frequency (f) Hz. 20
50 100 150 200 250 500 750 1,000
5,000 10,000 15,000 20,000 Wavelength (l) Ft./In. Rounded
56' 5" 22' 6" 11' 3" 7' 5" 5' 7" 4' 5"
2' 3" 1' 5" 1' 1" 2" 1" .08" .06"
From the previous table we
can see, for example, that trying to dampen a 100Hz bass wave that is 11'
3" long with a pillow 12" x 12" x 1.5" stuck into a corner is futile.
We can also use the formula
to determine the fundamental standing wave frequency for a given room dimension
by dividing the round trip of that dimension by 1130 (v). That is, if our
room is 20' long, the round trip distance is 40'. Divide 1130 (v) by 40'
(f) for a fundamental standing frequency of 28.3Hz (l). Let's go one step
further with our formula and newfound wavelength knowledge and see how
we can apply it to understanding the problems of room acoustics.
Early reflections are signals
that have bounced off the walls, ceiling and floors and arrive at our listening
position later in time, mixing with the direct signal. They are called
early or "first" reflections because listening tests have shown that when
multiple reflections are received within 20 milliseconds of the direct
sound, they are perceived as part of the original. This alters the tonal
balance and confuses vocals and dialog.
Sound panels are available
from various acoustical material suppliers and can be obtained in a variety
of fabric and finish options to blend with or complement most interior
schemes. When the budget can't afford them, attractive homemade sound panels
can be constructed easily using compressed fiberglass (Owens-Corning #703)
covered with fabric. For improved low frequency effectiveness, use 2" thick
panels and stand them off the wall a bit, or use thicker material.
Slap echoes are reflections
that bounce back and forth between bare parallel walls. They can be easily
identified by clapping your hands and listening for ringing. You'll find,
as you clap and move from the middle of the room towards one end, that
the slap echo pitch and ring duration will change. This relates to the
different round trip distances the sounds travel as they leave your hands,
head off in different directions, bounce off the front and back walls,
and pass you by.
Some common methods of treating
slap echoes are the "live end, dead end" scheme and the "dead end, live
end" scheme. Both methods involve treating one end of the listening room,
leaving the other end "live" for a natural room ambience.
It is preferable to diffuse
slap echoes with diffuser panels. Slap echoes may also be absorbed with
carpets, fiberglass panels or drapes. When treating sidewall slap echoes
near the sides of the loudspeakers and/or listeners, it is desirable to
treat both walls evenly, left and right, to provide a balanced sound field.
When treating reflections and echoes, best results are obtained from a
proper mix of direct and diffused sound. That is, a balance of diffusive
and absorptive materials strategically placed in throughout the room. The
key in trying and applying all types of room treatments is to utilize test
equipment which is designed to measure the time, energy and frequency relationship
with the room. Or you can just listen as you go, use the proper treatment
for the identified condition, and experiment, experiment, experiment!
Standing waves are high and
low pressure energy buildups, which are determined by frequency and room
dimension. They are so named because they do not travel or propagate. Instead,
they become anchored at various spots in a room determined by boundary
conditions. Although standing waves occur at all audible frequencies in
a contained space, our focus will be on the widely spaced, low frequency
waves. These low frequency standing waves cause severe peaks and dips in
the system's in-room bass response, creating the dreaded "one-note bass"
while obscuring truly deep bass. All rooms except those very large rooms
or halls (whose wavelengths are so low in frequency that they can be ignored)
have low frequency standing waves of consequence.
You can graphically show
which standing wave frequencies will affect a given room by plotting some
simple calculations on graph paper. First, calculate the frequency of the
lowest fundamental peak (f) for each room dimension (length, width and
height, represented by "d"), by dividing 1130 ("v", or the speed of sound)
by twice the dimension in feet, using the formula f = v/2d. The dimension
("d") is doubled to account for the sound wave's round trip. Plot your
results on separate lines for the room's length, width and height, one
above the other, on your graph paper. Scale the horizontal axis from 20Hz
to 150Hz in 10Hz increments. Now plot the additional peaks caused by the
even multiples of the fundamental frequency up to 150Hz. For example, if
your fundamental standing wave frequency is 50Hz, you will also have buildups
at 100Hz and 150Hz. Beyond 150Hz, the spacing of standing waves becomes
close enough to ignore. On your graph, any points close to each other will
indicate an excessive buildup of energy at that frequency. Ideally, standing
waves should be evenly spaced, which will provide a flatter in-room response
from most locations. A spreadsheet file on a computer could easily be created
to make these calculations and plot your graphs automatically.
After you've plotted the
graph, play tones to verify your standing wave calculations. Use a sweep
tone generator or a test CD recording of a sweep tone, along with your
SPL meter or real time analyzer. As you tone sweep from 20Hz to 150Hz,
you will notice that the volume from your listening position increases
and decreases at different frequencies. Pause the sweep tone at a frequency
where the volume is at it’s loudest from your listening position, then
slowly walk around the room. Notice how the volume of the tone changes
dramatically as you move around, louder in some areas, barely audible in
others. These high and low pressure zones in different positions around
the room are standing wave fundamentals and their multiples. These "room
modes" are dependent on the room's dimensions in relation to the frequency
of the fundamental and its multiples. Note the standing wave energy distribution.
The sweep tone test is a
great way to prove your predictions and observe very real proof of the
standing wave phenomenon. Remember to use caution when playing test tones
through speakers, as you can easily drivers during this test. If you're
using a tone generator, use only sine waves for testing, not square waves.
Due to the length of low
frequency standing waves, they cannot be minimized by applying foam, insulation
or carpet to the walls. Typically, fixed bass traps are not practical either,
being massive and complicated to build, and portable traps are only minimally
effective unless used in large numbers. Now that we know how room dimensions
and the fundamental frequencies and their multiples interact, we can position
the speakers and listeners to minimize the effects of standing waves. Using
our graphs, we can determine the most desirable speaker, subwoofer and/or
listener locations, based on the locations of the energy buildups (standing
waves) from the fundamentals and their multiples corresponding to each
room dimension.
Speakers placed in a corner
will excite the greatest number of room modes (standing waves), while speakers
placed in the locations indicated will excite the least number of room
modes. Listeners will experience the smoothest response when the speakers
and listening location are placed away from room modes.
Give additional consideration
to same frequency cancellation ("suck-outs") by ensuring that the speaker's
distance from the sidewall is not the same as its distance from the front
or rear wall. Keep in mind that it is rarely possible to set up speakers
in the ideal position for all three-room dimensions. Therefore, try to
position the speakers in at least one of the recommended placement locations
by room dimension mentioned above.
Another weapon in the standing
wave knowledge arsenal is the conservative use of equalizers to help flatten
system response. However, equalizers are not a cure-all, just another potential
tool when used properly. Always exercise caution, as equalizing a particular
frequency from one listening position can cause a severe dip or boost in
another, severely altering the overall frequency balance. The potential
also exists to blow up amplifiers and woofers by trying to apply excessive
bass boost to compensate for a low frequency suck-out or cancellation point.
Before applying any equalization, first invest time in determining the
best physical speaker placement. A qualified “sound consultant” will have
the necessary test equipment to take level measurements from several listening
positions and average your results by frequency before making adjustments.
Fortunately, the wide popularity
of subwoofers can be a blessing when dealing with standing waves. Separating
the bass driver from the mid and high frequency drivers allows placement
flexibility. Also, the ability to separately adjust woofer phase can help
tame excessive standing waves to a dull roar.
Standing waves can be the
most problematic audio dilemma to solve. A combination of all the above
mentioned methods may be necessary to achieve the flattest possible frequency
response in a room. With some time invested, you can immensely improve
the sound and the entire listening / worship experience.
Room Acoustics 101
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