55019761
 about
U.S. ENVIRONMENTAL PROTECTION AGENCY

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Olll   "\ ^
   SOUN
  v_y /
     U.S. ENVIRONMENTAL PROTECTIONoiCY
OFFICE OF NOISE ABATEMENT
                       CONTROL
                    20460
             MAY 1976

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                          CONTENTS





                                                       Page





Basic Properties of Sound Waves                                 1





Intensity and Loudness                                       3





Human Hearing and Acoustics                                  9





BIBLIOGRAPHY OF SOUND AND NOISE                       15





GLOSSARY                                               26

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                           ABOUT SOUND
      This  booklet is Intended for anyone requiring a knowledge of, the
fundamentals of acoustics and noise. It provides enough detail to allow the
reader to become familiar with the physical phenomenon of sound and how
it is propagated, described,  and, to a  certain degree, perceived. A bibliog-
raphy  Is provided  for those requiring  more detailed technical information
on specific aspects of this expansive subject.
Basic Properties of Sound Waves

     Sound waves  occur in a medium having  the properties  of mass and
elasticity. For our purposes, this medium is considered to be air.
     Air consists of gas molecules that are distributed  fairly evenly and
that move around in a random fashion. Air exerts a pressure (atmospheric)
of about 14.7 Ib/in.2, which is roughly equivalent to 106 dynes/cm2. This
atmospheric pressure is directly related to the density (mass per unit vol-
ume) of the air.
     Because air possesses both inertia and elasticity, sound waves can be
propagated in it. The inertia of air is due to its weight, 0.075 pound per
cubic foot.  Elasticity is the characteristic that tends to pull a displaced
particle (the molecule)  back to its original resting position. The  transfer
of momentum, through  molecular displacement, from the displaced mole-
cule to an  adjacent one is the mechanism  of sound wave  propagation.
     When  a  vibrating object moves  outward  it compresses a layer of air
surrounding it. This compression  travels outward, dissipating in  relation
to the energy that created it. As  the vibrating object moves inward, the
surrounding air  is rarefied. This rarefaction travels  outward in  a manner
similar to the compression. The result is therefore a series of alternating
compressions and rarefactions, in  sympathy with the vibrations. This is
illustrated in figure 1.
     The number of times per second that the wave passes from a period
of compression,  through a period  of  rarefaction, and starts another com-
pression  period  is referred to as  the  frequency of the  wave. Frequency

                                   1

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                                                            :.t-..-v-
                                                           • • *«.fc •  .
                                                           .-i:5.-.*.V
                                                           -Avjv;.
                                                            :&&'•
                                                           • "•«•>•
                                         A
                                 \7        Y7
           Distance •
                                   Figure 1

               The upper curve in the figure shows how pressure varies
               above and below average with distance at a given time.
               The lower curve shows  how velocity varies, above zero
               (that is, molecules moving to the right) and below zero
               (that is, molecules moving to the left).  The distance (A)
               between  crests  of both  curves is the wavelength of the
               sound.
  is expressed in  cycles per second, or hertz (Hz). The distance traveled by
  the  wave  through one complete  cycle  is referred to as the wavelength
  (Figure 2).
                        Wavelength in Air vs. Frequency
                             Wavelength U) in Feet
100
III
I
50
II 1 i 1
I |
20
I
1 I 1 1
10
li 1
1 1 II
5
iiil ii
1 I '
2
IMI
1 0.5
li i ii 1 i
II 11
0.2
i 1
1 I 1 1 1 1
0.1
1
10    20      50    100    200      500   1000            5000     10.000
                       Frequency in Cycles per Second (CPS)

                                    Figure 2


                                    2

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The rate at which the molecular displacement occurs is termed the particle
velocity of the wave, or displacement per unit of time. This is illustrated in
Figure 3. Under normal conditions of temperature and pressure, the velocity
of sound in air is 1100 feet per second.

      Note:  Wavelength  vs.  Frequency.  The higher  the  frequency,  the
      shorter the wavelength and vice versa. A tone of 20 Hz has a wave-
      length of 55 feet.  (Wavelength  x frequency =  1100  ft/sec  in air).
                                           14.0     16.8^   19.6    22.4

                          Distance from Source in Feet
                                 Figure 3
Intensity and Loudness

      Sound propagated from a simple source radiates more or less equally
in all directions from that source, forming what might be called a sphere of
acoustic  power. The power is  expressed as watts/m2. Since the  power
sphere increases proportionally with  the  increase  in  distance from  the
source, the power per unit of area, or intensity, decreases because the con-
stant power quantity is being distributed over an  expanding area. Figure 4
provides an illustration of this principle.
      The acoustic power radiated from a  source cannot be conveniently
measured  in  watts  by instruments. However, the changes in  atmospheric
pressure caused  by  the sound wave  can be determined so as to  provide
a meaningful measure. The fluctuation above and below the normal atmo-
spheric  pressure is called  the  sound pressure  and  is  the most common
measure  of  strength  of a  sound  or  noise.  Sound   pressure measure-
ments and the units of specifying intensity are the bases for:

      1.  Human hearing levels, since the  ear  is most  sensitive to sound
         propagated in air.

      2.  Noise levels of various noise producing sources.

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                    Loud ness
                                                ^•Point of Measurement

                                                     ^ Direction of Travel
             	   ___              Unit of Area
Sound Wave
                     Distance from Source
                                  Figure 4
      3.   Reference and  calibration  levels  (pressures) for  audiometers
          and other such equipment.

      4.   Computation of power wattage levels.
      The Decibel

      The intensity of the faintest sound that the normal person can hear is
about 0.0000000000001 watts/m2; the intensity of sound produced by a
Saturn rocket at liftoff is greater than 100,000,000 watts/m2, a range of
100,000,000,000,000,000,000. There is a simpler way to represent these
numbers, however: scientific  notation. In scientific notation, numbers are
represented  as numbers between 1  and 10, multiplied  by  10 raised to
some power. For example, the number 10 can be represented as one times
10 (1.0 x 10), the number 100 as 10 squared (1.0x102), the  number 1000
as one times 10 cubed  (1.0 x 103),  and so on. In the same manner, 0.001
can be represented as 1.0 x 10-3  ,   I  y 0.01 as 1.0 x  10"2 dra, etc. The
following list gives examples of numbers represented in scientific notation:

      Number                          Scientific Notation

      0.0025                           2.5 x10'3
      2.5                              2.5x10° (10° = 1.0)
      250                              2.5 x102
      2,500,000                        2.5 x106

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      Using scientific notation, we can represent the intensity of the faint-
est audible sound as 1.0 x 10~12 watts/ m2 and  the sound  intensity pro-
duced by the Saturn rocket as 1.0 x 108 watts/m2. Now, suppose we divide
all of the numbers in our range of values by the lowest one (1.0 x 10'12).
Our range now extends from 1.0 to 1.0 x 1020. Most of us  would find it
difficult to use a measurement scale with such a large range. Fortunately,
we can use another mathematical notation to compress the scale of numbers
into one that is more comprehensible: the logarithmic  scale. The logarithm
(log) of a number is the power to which 10 must  be raised to produce the
number in question. For example:

      103 = 1000 and log 1000 = 3.0
      102-5 = 316andlog316 = 2.5
      10° = 1.0 and log 1 =0
      10°-3 = 2andlog2 = 0.3

By using the  logarithms of our ratios,  we can form a new  measurement
scale  in which an increase of 1.0 represents a tenfold increase in the ratio.
All of our ratios can now be represented between the numbers 0.0 and
20.0; i.e., log  1.0 = 0.0 and  log (1.0 x 1020) =  20.0. The unit for these
types of measurement  scales is the bel,  named after Alexander G. Bell,
inventor of  the telephone. Each 1-bel increase in the measure represents
a  tenfold  increase over the last measure. A bel turns out to be a rather
large  unit,  so  for convenience, the  bel  is divided into 10 subunits called
decibels, abbreviated dB. Using a decibel  scale our range is  now between
0.0 and 200.0 rather than  between 0.0 and  20.0. These kinds of scales
are standard in the electronics and acoustical  industries for measuring
ratios of powers or quantities proportional to power such  as voltage or
sound pressure. These types of measurements are called levels. By definition,


      A level in bels = |og(Measured Quantity \
                       \Reference Quantity/

To express the level  in decibels we multiply by ten.  Thus,
      . ,    	- .   / Measured Quantity \
      A level m dec.bels  = 10 l°g(Reference Quantityj '
As previously mentioned, sound pressure  (SP) can be measured more con-
veniently and accurately than  sound power. It can be shown mathemati-

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cally that sound  intensity, or sound  power, varies proportionally to the
square of the sound pressure.

Mathematically,
                              (Sound Intensity  \
                            Reference Intensity jdB-
                                      /  SP \2
     Sound Pressure Level (SPL) = 10 logfgp—1  dB.
                                          ref/
The  log of a quantity squared is equal to twice the log  of the quantity;
therefore,
                    cp
      SPL = 20'  '
The reference sound pressure (SPref) used in acoustics is 20 micropascals,
which  ideally in air  is the pressure equivalent of 10-12 watts/m2  (the
threshold of  human hearing). Power levels or intensities can be computed
from sound pressure measurements. A 20-dB increase in the sound pressure
level  (SPL) represents a tenfold increase in  the sound pressure (SP). For
example, compare a measurement of 120 dB overall  SPL to 60 dB overall
SPL.  Although  120 dB is only twice  the numerical value of 60 dB, the
sound pressure required to produce 120 dB is 1000 times the sound pressure
required to produce 60 dB.

     There are a few rules to remember when using the decibel.

      1.  The decibel  is  used  to  express ratios. The reference quantity
         must be specified.

      2.  In  acoustics, the reference  sound pressure is 20  micropascals.
     3.  Power levels are not easily measured but are usually computed
         from measured SPLs.

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      Combining Noise Levels

      Because they are logarithmic, decibels are not additive. If two similar
noise sources  produce the  same amount of noise  (say 100 dB each), the
total  noise  level  will be 103 dB,  not 200 dB. Figure 5  provides a guide
to the addition of decibels. The following example  using Figure 5 as a basis,
provides an illustration of the  way  in which  the  noise levels of multiple
sources would be  added.
             J	I
                                               I
                  345678     9I(

                     Difference in Decibels Between the Two Levels being Added
Source by itself
         Figure 5

Difference    Amount to be added
                           New
                           Total
 100dB
+101 dB
+100dB
+ 96 dB
1 dB  .
3.7 dB
9.3 dB
2.7 dB
1.6 dB
0.4 dB
103.7dB
105.3 dB
105.7dB
     Attenuation With Distance

     Sound attenuates according to the inverse square law: sound intensity
decreases inversely with the square of the distance from the source. In other
words, each time  the distance from the  noise source doubles, the sound

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 pressure is  halved. This phenomenon produces a decrease  of about 6 dB
 each  time the distance from the  source is  doubled. When  frequency  is
 taken  into  account along  with attenuation  with distance, it is seen that
 higher  frequency sound dissipates at a greater rate than does low  fre-
 quency sound (Figure 6). Figure 6  does not take into account attenuation
 resulting  from wind gradients,  temperature  gradients, ground cover,  etc.
  -10
   -20
  .30
S
= -40
S
  -50
  -60
  -70
                                                            Inverse Square
                             Octave
                             Bands
4800  2400 12001 600 300 150M5N37.5
9600  4800 2400 1200 600 300150. 75
   V    \  .  \   \   \\V
     100    200
                    500    1000   2000     5000   10,000   20,000   50,000 100,000
                             Distance from Source in Feet
                                  Figure 6

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Human  Hearing and Acoustics

      In laboratory experiments, it was found that the "absolute" threshold
of hearing in  young  adults corresponded to a pressure  of about 0.0002
dyne/cm2. This reference level  was determined in  a quiet ambient noise
atmosphere  and at the  most acute frequency range of human hearing,
between  1000 and 4000 Hz. The general range of human hearing is usually
defined as being between 20 and  20,000 Hz. Frequencies below 20  Hz
are callled infrasonic, with frequencies between 20 and  20,000  Hz called
sonic or  referred  to  as the audible frequency  area.  Frequencies above
20,000 Hz (some texts refer to above 15,000) are called ultrasonic.
      The loudness of sound (sensation) depends upon the intensity, but
it also depends upon the frequency of the sound and the characteristics of
the human ear. The intensity of sound is a purely  physical quantity, where-
as, the loudness depends also upon the characteristics of the ear. Thus, the
intensity of a given sound striking the ear of a  normal hearing person and
of a hard-of-hearing person  might be the same, but the loudness sensation
would be quite different. Again, a  100-Hz tone that is barely audible has
about 5000 times the intensity of a 1000-Hz tone that is equally loud,
i.e., barely audible, whereas 100-Hz and 1000-Hz tones would sound equally
loud at a 100-dB level. The relationship  between frequency intensity and
loudness is quite involved. We do have, however, a  sense of relative loudness
so that there is a fair measure of agreement among trained  observers in their
judgments as to when one sound is one-half, one-third, and so on as loud as
another.  The question is  often  asked, "Suppose  we reduce the intensity
level of a noise by  10 decibels, what percentage  reduction in loudness
have we obtained?" The answer  is that it depends on what the initial level
was. Figure  7  can be used  to  give an  approximate answer for different
values of the original level.
      When human ear response to frequency and intensity is plotted,  we
find  that  the response is not linear and that it  varies with sensation level.
Figure 8, an equal loudness chart,  demonstrates this response characteris-
tic. The  equal loudness levels in Figure 8  were  defined as the intensity
required  to make a given  test tone seem equally  as loud as the  reference
tone, which was the 1000 Hz reference. The unit of loudness level that is
used to plot the data  is called the phon. Thus, the loudness level in phons
of any sound of that frequency is  equal to its intensity level in decibels.
Generally, the following is noted  from the equal loudness curves:

      1.   At low intensity levels, high frequency  tones sound louder than
          low frequency tones of the same intensity.

                                  9

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   80



   70
 •2 60
 u
 3
 •
 0)
   50
   40
 § 30
   20




   10




    0
                 4     6     8    10    12

                Loudness Level .Reduction (dB)
                                              14
                                                    16
                         Figure 7
   120

m

c 100
<2 80


I 60




f «
O)

£ 20



    0
                       Loudness Level
            50  100         500 1000      5000    10,000

                Frequency in Cycles Per Second
                          Figure 8



                             10

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     2.  At high  intensity  levels, all tones of the same intensity sound
         almost equally loud, regardless of their frequency.

     3.  At low intensity levels, a given change in intensity level produces
         a  larger change in loudness at low frequencies than at high fre-
         quencies.

     4.  At high intensity levels, a given change in intensity level produces
         practically the  same change in loudness regardless of frequency.
     Audiometry

     The "Absolute Zero" level of hearing determined in the laboratory
was found  to  be  16 to 20 dB too low for a "Normal Population" Audio-
metric Zero. Thus,  the American Audiometric Zero is about 20 dB above
the zero based  on  the 0.0002 dyne/cm2 reference.
     The intensity (loudness) scale on most audiometers has a range of
from -10 dB through 0 dB and up to 100 dB, with the maximum intensity
range dependent  on  the  particular test frequency. Frequencies  below
1000 Hz and above 4000 Hz usually do not have a full 100 dB (on audio-
meter intensity scale). These maximum intensity  limits should always be
noted whenever testing the hearing of a person  having a severe loss of
hearing. The maximum  iritensity limits, if they exist, are usually marked
below the frequency indicator scale on the audiometer.
     The majority of audiometer intensity scales are calibrated in 5-dB
steps: 5, 10, 15,  20,  25, etc. And, even if the audiometer has a variable
intensity control,  usually the 5-dB steps are still recorded.
     The speech  reception threshold was also found to be approximately
16 to 20 dB above the 0.0002 dyne/cm2 reference. Thus, the audiometric
zero for speech material is about the  same as the audiometric reference
for 1000-Hz test frequency area.
     Human Response To Noise

     Generally,  any unwanted sound is referred to as noise. Thus, noise
does not necessarily imply that the sound field is loud. It is the attributes
making  up a noise that determine whether it  is annoying.  Some of the
main attributes are:

     1.  The frequency spectrum, broadband or narrowband
     2.  Intensity levels

                                 11

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     3.  Modulation characteristics
     4.  Time and place of the occurrence of the noise
     5.  Duration of the noise (short or continuous)
     6.  Individual background.

The frequency spectrum of  sound refers to the breakdown  of acoustic
energy from 20 through 10,000 Hz. This breakdown is usually accomplished
by measuring acoustic  energy, or sound pressure  levels, in  eight octave
bands, the most common of which are (in Hz):

     Band Number 1                  20 through 75
     Band Number 2                 75 through 150
     Band Number 3                150 through 300
     Band Number 4                300 through 600
     Band Number 5                600 through 1200
     Band Number 6               1200 through 2400
     Band Number 7               2400 through 4800
     Band Number 8               4800 through 9600 (10,000)

The most significant bands regarding possible hazardous effects on man
are bands 4, 5, 6, and 7 (300 through 4800 Hz).
     Obviously,  intensity  is  a factor in determining deleterious effects
on humans, as indicated in the table below. But frequency, too, must be
considered, especially where one is trying to gauge characteristics of annoy-
ance. Generally, higher frequency  noise is more  annoying at equal inten-
sities, than lower intensity noise.

           Intensity Levels and Human  Speech-Hearing

     dB
     140         Threshold of pain
     130         Feeling of tickle
     120         Average threshold of discomfort for pure tones
     110            Loud shout at 1 ft distance
     100            Discomfort for speech begins around this level
      90
      80            Loud speech
      70
      60            Average speech conversational level
      50
      40            Faint speech at 3 ft distance
      30            Whisper (average)

                                12

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       20
       10
        0
   Very quiet speech (faint)

Threshold of hearing (young adult)
     Speech Interference Level (SIL)

     The numerical average of the sound pressure  level (SPL) readings
in  the  600-1200, 1200-2400, and 2400-4800 octave bands has been  em-
pirically shown to correlate with the subjective level of speech interference.
Figure  9  indicates  the communication interference caused by various SILs.
                           Distance Between Talker & Listener — ft
                               Figure 9

                                  13

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BIBLIOGRAPHY OF SOUND AND NOISE

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   SOME CURRENT BOOKS ON NOISE AND VIBRATION
Academic Press, Inc., 111 Fifth Avenue, New York, NY 10003

 1.   Mason, W. P., "Physical Acoustics," 1964, $18.00.
 2.   Mason, W. P. (Editor), "Physical Acoustics, Principles  & Methods,"
     Vols. 1 and 2.
 3.   Brekhovskikh, "Waves in Layered Media."
 4.   Robinson, D.  W.,  "Occupational  Hearing  Loss,"  1971, $14.50.
 5.   Kryter, K., "Effects of Noise on Man," 1970, $19.50.
 6.   Mason,   "Physical   Acoustics,"   Volume  10,   1973,  $39.50.
 7.   Meyer/Neumann, "Physical  and  Applied Acoustics," 1972, $18.50.
 8.   Tobias, J. V. (Editor), "Foundations of Modern Auditory Theory,"
     Vols. I &  II, 1972.
 9.   Welsh, R., "Physiological Effects of Noise."
10.   Dalos,  P., "The  Auditory  Periphery—Biophysics and  Physiology,"
     1973, $32.50.

Addison-Wesley Publishing Co., Inc., Jacob Way, Reading, MA

 1.   "Vibrations:  Theoretical Methods," 1966, $9.75.
 2.   Towne, D. H., "Wave Phenomena."

American Elsevier  Publishing Co., Inc., 52 Vanderbilt Avenue, New York,
 NY 10017

 1.   Taylor,  C. A., "The Physics  of Musical  Sounds," 1965,  $9.50.
 2.   Smith, B. J.,  "Environmental Physics: Acoustics," 1970, $9.45.
 3.   Petursewicz,  "Industrial Noise," 1974, $19.50.
 4.   Smith, "Acoustics," 1971, $9.45.
 5.   Ford, R. D., "Introduction to Acoustics," 1970.
 6.   Gayford,  M.  L.,  "Electroacoustics—Microphones,  Earphones,  and
     Loudspeakers," 1971, $15.00.

American  Society of Mechanical Engineers, 345 East 47th  Street, New
 York, NY  10017
 1.   Snowdon, J. C. and  E. E. Ungar, "Isolation of Mechanical Vibration,
     Impact, and Noise,"  1973, $25.00.

                               16

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American  Speech & Hearing Association, 9030 Old  Georgetown  Road,
 Washington, DC 20014

 1.  "Noise as  a  Public Health Hazard," Proceedings of  the American
     Speech and Hearing Association National Conference, June 13-14,
     1968, Washington,  DC, W. D. Ward, J. E.  Pricks, editors (1969).

Allyn & Bacon, Inc., Rockleigh, NJ  07647

 1.  Tse, F. S.,  I. E. Morse, and  T.  H. Hinkle, "Mechanical Vibrations,"
     1963.

Ann Arbor Science, P. O. Box 1425, Ann Arbor, Ml 48106

 1.  Cheremsisnoff,  P.  N.,  and  R.  A.  Young,  "Pollution  Engineering
     Practice Handbook," $29.50.
 2.  Plant Engineering and Maintenance Handbook, $20.00.
 3.  Deininger,  R.  A.,  "Models For Environmental Pollution Control,"
     $24.50, Cat. No. 0069-2/501.

A. S. Barnes and Company, Inc., Cranbury,  NJ  08512

 1.  Albers, Vernon  M., "The World of Sound," $5.95.

G. Bell & Sons, London, England

 1.  Wood, A. B., "A Textbook of Sound."

Bureau of National Affairs, Dept. NRR-504, 1231 25th Street, NW,  Wash-
 ington, DC  20037

 1.  Noise Regulation Reporter.

Chemical Publishing Co., Inc., 200  Park Avenue S., New York, NY 10003

 1.  Rettinger, M., "Acoustics-Room Design and  Noise Control,"  1968,
     $17.50.
 2.  Rettinger, M., "Acoustic Design & Noise Control," 1973.
                                17

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Crane, Russak &  Company, Inc., 347  Madison Avenue, New York, NY
 10017

 1.   Haines, G., "Sound Under Water," 1974, $8.25.
 2.   Taylor, C. A., "Physics of Musical Sounds," 1965, $9.50.

CRC Press, Inc., 18901 Cranwuod Parkway, Cleveland, OH 44128

 1.   Goodfriend, L. S.,  "Noise Pollution,"  Cat. No. 5003/306,  $26.00.

Marcel Dekker, Inc., 270 Madison Avenue, New York, NY  10016

 1.   Ensminger, "Ultrasonics: The Low and High Intensity Applications,"
      1973, $24.50.

Dover Publications, Inc., 180 Varick Street, New York, NY 10014

 1.   Sabine, W.  C.,  "Collected Papers on  Acoustics,"  1964,  $2.00.
 2.   Lowery,   H.,  "A  Guide  to   Musical  Acoustics,"  1966,  $1.00.
 3.   Olson, H. F., "Music Physics and Engineering," 1967, $2.75.
 4.   Kolsky, H., "Stress Waves in Solids."
 5.   Love, A. E. H., "A Treatise on the Mathematical Theory of Elastic-
      ity," 1944.
 6.   Lamb, H., "Hydrodynamics."
 7.   Lamb, H., "The Dynamical Theory of Sound."
 8.   Rayleigh, Lord, "Theory of Sound," Vols.  1 & 2.
 9.   Rayleigh, Lord, "Scientific Papers," Vols. 1-6.

Dowden, Hutchinson  &  Ross,  Inc.,  523 Sarah Street, Stroudsburg,  PA
 18360

 1.   Albers,  V. M.  (Editor),  "Underwater  Sound," Pennsylvania State
      University, 1972, $20.00.
 2.   Lindsay, R.  B.  (Editor),  "Acoustics:  Historical and  Philosophical
      Development, Brown University, 1973, $24.00.
 3.   Flanagan,  J.  L. and L.  R. Rabiner (Editors),  "Speech Synthesis,"
      Bell Laboratories, Murray Hill, NJ,  1973, $22.00.
 4.   Lindsay, R.  B.  (Editor),  "Physical Acoustics," Brown  University,
      1973, $24.00.

Duxbury Press, 10 Davis Drive, Belmont, CA 94002

 1.   Stevenson, Gordon M., "The Politics of Airport Noise," 1971.
                                18

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 Elsevier/Excerpta-Medica/North Holland, Associated Scientific Publishers,
   P. O. Box 211, Jan Van  Galenstraat 335, Amsterdam, The Netherlands

 1.   Lawrence, Anita, "Architectural Acoustics," 1970.
 2.   Bushel, R. G., "Acoustic Behavior of Animals," $45.00.
 3.   Richardson, E. G. and E. E. Meyer, "Technical Aspects of Sound,"
      Vols. 1-3.

Gale Research Co., Book Tower, Detroit, Ml 48226

 1.  Bragdon, C. R.,  "Noise Pollution," A Guide to  Information Sources,
     Edited by Dr. C. R. Bragdon.

General Radio Company, 300 Baker Avenue, Concord, MA  01742

 1.   Peterson, A.  and E.  Cross, "Handbook  of Noise Measurement."

Grozier Publishing Co., Warren Avenue, Harvard, MA 01451

 1.   Lyon, R. H., "Transportation Noise," 1973.

Halsted Press, 605 Third Avenue, New York, NY 10016

 1.   Lindsay, R. B.,  "Physical Acoustics," (Benchmark  Papers in  Acous-
      tics, #4), 1974, $24.00.
 2.   Kuttruff, H., "Room Acoustics," 1974, $29.75.
 3.   Flanagan, J. L. and L. R. Rabiner, "Speech Synthesis," 1973, $22.00.
 4.   Albers, V. M., "Underwater Sound," 1972, $22.00.
 5.   Lindsay,  R.  B.,  "Acoustics: Historical  and Philosophical  Develop-
      ment," 1973, $24.00.
 6.   King, "The Measurement & Suppression of Noise with Special Refer-
      ence to Electrical Machines," 1965.

Harper and Row, 49 E. 33rd Street, New York, NY 10016

  1.   Baron, R. A., "A Tyranny of Noise," 1971.

Hastings House Publishers, Inc., 10 East 40th Street, New York, NY  10016

 1.   Mankovsky, V.  S.,   "Acoustics of Studios  and  Auditoria," 1971,
      $16.50.
 2.  Oringel, R. S., "Audio Control Handbook," 1970, $10.00.

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 3.  Nisbett, A., "The Use of Microphones," 1974, $10.95.

William S. Hein & Co., Inc., 1285 Main Street, Buffalo, NY

 1.  Hildebrand, J. L, "Noise Pollution and the Law," 1970.

Holt, Rinehart and Winston, 383 Madison Avenue, New York, NY  10017

 1.  Davis, H. and S. R. Silverman, "Hearing and Deafness," 1970, $13.00.

The Kent State University Press, Kent, OH 44240

 1.  Sevarie, S. and  E. Levy,  "Tone:  A  Study in Musical  Acoustics,"
     1968, $7.95.

Robert E. Krieger  Publishing Co., Inc., P.  O. Box 542, Huntington, NY
 11743

 1.  Green, D. M.  and  J. A. Swets, "Physiological Acoustics: Signal Detec-
     tion Theory & Psychophysics," 1974, $18.00.

Lexington Publishing  Company, 98  Emerson Gardens,  Lexington,  MA
 02173

 1.  Jensen,  P., and  G. Sweitzer,  "How  You  Can  Sound-proof Your
     Home," 1974, $7.95.

J.  B. Lippencott, E. Washington Square, Philadelphia, PA 19105

 1.  Sataloff, J., "Occupational Hearing  Loss."

MacMillan Company, 866 Third Avenue, New York, NY 10022

 1.  Rschevkin, S. N., "A Course of Lectures on the Theory of Sound,"
     1963, $12.50.
 2.  Milne-Thomson, "Theoretical Hydrodynamics."

McGrath  Publishing Company,  821  Fifteenth  Street, NW,  Washington,
 DC 20005

 1.  Swenson, G. W., "Principles of Modern Acoustics," 1965.

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McGraw-Hill Book Company, 1221  Avenue of the Americas, New York,
 NY  10020

 1.   Morse, P. M. and K. U. Ingard, "Theoretical Acoustics," 1968,
      $23.00.
 2.   Beranek, L. L, "Noise and Vibration Control," 1971, $29.50.
 3.   Doelle, L. L., "Environmental Acoustics," 1972, $18.50.
 4.   Urick, R. J.,  "Principles of Underwater Sound for Engineers," 1967.
 5.   Stratton, J. A., "Electromagnetic Theory."
 6.   Beranek, L. L., "Acoustics."
 7.   Beranek, L. L. "Noise Reduction."
 8.   Morse, P. M. and  H. Feshbach, "Methods of Theoretical Physics,"
      Vols. 1 & 2.
 9.   Morse, P. M.,  "Vibration & Sound."
10.   Moore, R. K., "Wave and Diffusion Analogies."
11.   Lindsay, R. B., "Mechanical Radiation."
12.   Harris, C. M., "Handbook of Noise Control," 1957.
13.   David and Denes, "Human Communication," 1973, $25.00.
14.   Keast,  D.  N.,   "Measurements'  in  Mechanical  Dynamics,"  1967.
15.   Phelan, R. M., "Dynamics of Machinery."
16.   Egan, M. D., "Concepts in Architectural  Acoustics," 1972, $16.50.
17.   Sataloff, J., "Industrial Deafness:  Hearing, Testing and Noise Measure-
      ment," 1957.
18.   Harris, C. M. and  C. E. Crede,  "Shock and  Vibration Handbook,"
      3 Volumes, 1961.

Nelson-Hall Company, 325 W. Jackson Blvd., Chicago, IL 60606

 1.   Lipscomb,  D. M.,  "Noise: The  Unwanted Sounds," 1974, $15.00.

Penguin Books, 7710 Ambassador Road, Baltimore, MD 21207

 1.   Taylor, R., "Noise," 1970.

University  of  Pennsylvania Press, 3933  Walnut Street, Philadelphia, PA
 19174

 1.   Bragdon, C. R., "Noise Pollution: The Unquiet Crisis," 1971, $15.00.

Pennsylvania  State University Press,  215 Wagner Building,  University
 Park, PA 16802

 1.   Albers,  V. M.,  "Underwater Acoustics  Handbook," 1965, $19.50.
                                21

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 2.  Skudrzyk,  E.,  "Simple and  Complex Vibratory  Systems," 1968,
     $24.50.
 3.  Albers,  V.  M.,  "Suggested  Experiments for Laboratory Courses  in
     Acoustics and Vibrations," 1972, $7.00.

Pergamon  Press, Inc., Maxwell House, Fairview Park, Elmsford, NY 10523

 1.  Rzchevkin, "The Theory of Sound."
 2.  Tucker,  D.  G.  and B. Gazey, "Applied  Underwater Acoustics,"
     1966, $8.50.
 3.  Malecki, I.,  "Physical Foundations of  Technical Acoustics," 1969,
     $47.00.
 4.  Bugliarello, G. et al, "The Impact of Noise Pollution: A Socio-Techno-
     logical  Introduction,"  Polytechnic Institute of New  York, 1974,
     $11.50.
 5.  Koren,  H. et al, "Environmental Health and Safety,"  Indiana State
     University, 1974, $16.00.

Philosophical  Library, 15 East 40th Street, New York, NY  10016

 1.  Duerden, C., "Noise Abatement," 1971, $25.00.

Plenum  Publishing Corporation,  227 West 17th Street, New York, NY
 10011

 1.  Viktorov, I. A., "Rayleigh and Lamb Waves."
 2.  Welch, B. L. and A. S. Welch, "Psysiological Effects of Noise," 1970.
 3.  Stroke  et al, "Ultrasonic Imaging and  Holography," 1974, $37.50.
 4.  Green, "Acoustical Holography," Volume 5,1974, $32.50.
 5.  Rozenberg, "Physical Principles of Ultrasonic Technology," Volume
     1,1973, $27.50.

Prentice-Hall, Inc., Englewood Cliffs, NJ  07632

 1.  Thomson, W. T., "Vibratory Theory and Applications," 1965,
     $11.25.
 2.  Van Der Ziel, A.,  "Noise: Sources, Characterization, Measurement,"
     $12.00,
 3.  Kinsman, B., "Wind Waves."
 4.  Berland, T., "The Fight for Quiet," 1970.
 5.  Thomson, W. T.,  "Theory  of Vibrations with Applications," 1973,
     $15.95..

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Purdue University, Office of the University Editor, South Campus Courts—
 D, Lafayette, IN  47907

 1.  Crocker, M. J.,  "Noise  and Vibration  Control  Engineering,"  1971.

Sagamore  Publishing Co., Inc.,  980 Old  Country Road,  Plainview,  NY
 11803

 1.  Burroughs, L, "Microphones: Design and Application."

Sams & Company, 4300 62nd Street, Indianapolis, IN 46268

 1.  Davis, D., "Acoustical Tests & Measurements, 1965, $4.95.

The Scarecrow Press, Inc., P. O. Box 656, Metuchen, NJ 08840

 1.  King, R. L., "Airport Noise Pollution," 1973, $10.00.

Spartan Books, 50 Essex Street, Rochelle Park, NJ 07662

 1.  Blanke, M. P. and W. S. Mitchell, "Vibration and Acoustic Measure-
     ment Handbook," 1972, $30.00.

Springer-Verlag, 175 Fifth Avenue, New York, NY  10010

 1.  Roederer, J. G., "Introduction to the  Physics and Psychophysics of
     Music," 1973, $5.90.
 2.  Skudrzyk, E.,  "The Foundations of Acoustics: Basic Mathematics and
     Basic Acoustics," 1971, $72.50.
 3.  Krautkraemer,  J.  and H.   Krautkraemer,  "Ultrasonic Testing of
     Materials," 1969, $32.40.
 4.  Cremer,  L. and M. Heckl, "Structural Vibrations and Sound Radiation
     at Audio Frequencies," $38.90.

Stackpole Books, Cameron & Keller Streets, Harrisburg, PA  17105

 1.  Still, H., "In Quest of Quiet," 1970.

St. Martin's Press, 175  Fifth Avenue,  New York. NY 10010

 1.  Stephens, R. B., and A.  E. Bate, "Acoustics & Vibrational Physics."
                                 23

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Tap Books, Blue Ridge Summit, PA  17214

 1.  Everest, H.  A.,  "Acoustic Techniques  for Home & Studio," 1973,
     $7.95.

Time-Life Books, Rockefeller Center, New York, NY 10020

 1.  Stevens, S. S., and  F. Warshofsky, et al, "Sound and Hearing," Life
     Science Library,  1965, $3.95.

University  of Toronto Press, 33  E. Tupper Street,  Buffalo,  NY 14203

 1.  Ribner, H. S., "Aerodynamic Noise," 1969, $15.00.

United States Gypsum, 101 S. Wacker Dr., Chicago, IL  60606

 1.  "Sound Control Construction:  Principles and Performance," $1.50.

Van  Nostrand  Reinhold Co., 450 West 33rd Street, New York, NY 10001

 1.  Cremer, L. (Editor), "Proceedings of the Third International Congress
     on Acoustics," Stuttgart, 1959, Vol. 1-Principles.
 2.  Waldron, R. A., "Waves and Oscillations," 1964.
 3.  Josheps, J. J., "The  Physics of Musical Sounds," 1967.
 4.  Olsen, H. F., "Acoustical Engineering," 1957.
 5.  Olsen, H. F., "Modern Sound Reproduction."
 6.  Swenson, G. W.,  "Principles of Modern Acoustics," 1953.
 7.  Yerges, L. F., "Sound, Noise and Vibration," 1969.
 8.  Fletcher, H., "Speech and Hearing in Communication," 1953.

University of Washington Press, Seattle, WA 98105

 1.  Chalupnik, J. D. (Editor), "Transportation Noises: A symposium on
     Acceptability Criteria," 1970.

John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10016

 1.  Pain,  H. J., "Physics of Vibration and Waves," 1968, $5.95.
 2.  Snowden, J. C., "Vibration  and Shock in Damped  Mechanical Sys-
     tems," 1968, $22.50.
 3.  Bendat, j.  and  A.  Piersal, "Measurement and Analysis of Random
     Data."

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 4.  Kock, W. E., "Seeing Sound," 1971, $7.95.
 5.  Coulson, C. A., "Waves."
 6.  Kinsler, L. E. and A. R. Frey, "Fundamentals of Acoustics."
 7.  Eisberg, R. M., "Fundamentals of Modern Physics," 1963.
 8.  Hueter, T. F. and R. H. Bolt, "Sonics."
 9.  Auld, B. A., "Acoustic Fields  and  Waves in Solids," Vols. 1 & 2,
     1973, $49.50 set.
10.  Diehl, G., "Machinery Acoustics," 1974.
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                            GLOSSARY
A-WEIGHTED SOUND  LEVEL-The ear does  not  respond equally to
     frequencies, but is less efficient at low and high frequencies than it
     is at  medium or speech range frequencies. Thus, to obtain a single
     number representing the sound level  of a noise containing a wide
     range of frequencies in a manner representative of the ear's response,
     it is necessary to reduce the effects of the low and high frequencies
     with  respect to the medium frequencies. The resultant sound level is
     said to be  A-weighted, and  the units  are dB. A  popular method of
     indicating the A-weighted units is dBA. The A-weighted sound level
     level  is also called the  noise  level. Sound level meters have an A-
     weighting network for measuring A-weighted sound level.
ABSORPTION—Absorption is a property of materials  that reduces the
     amount  of  sound energy  reflected. Thus, the  introduction of an
     "absorbent" into the surfaces of a room will reduce the sound pres-
     sure level in that room by virtue of the fact that sound energy strik-
     ing the  room  surfaces  will not be totally reflected. It should be
     mentioned that this  is  an entirely different process from  that of
     transmission loss through a material, which determines how much
     sound  gets into the room via the walls, ceiling, and floor. The effect
     of absorption  merely reduces the resultant sound level in the room
     produced by energy that has already entered the room.

ABSORPTION  COEFFICIENT-A measure of sound-absorbing  ability
     of a surface. This coefficient is defined as the fraction of incident
     sound  energy  absorbed  or otherwise  not  reflected by the surface.
     Unless otherwise specified, a diffuse sound field  is  assumed.  The
     values  of sound-absorption  coefficient usually range from  about
     0.01 for  marble slate to almost  1.0 for long absorbing wedges such as
     are used in anechoic chambers.

ACCELEROMETER   (ACCELERATION  PICKUP)-An   electroacoustic
     transducer that responds to the acceleration of the surface to which
     the transducer  is attached, and delivers essentially equivalent electric
     waves.
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ACOUSTICAL POWER-See sound power.

ACOUSTICS—(1) The science of sound, including the generation, transmis-
     sion, and effects of sound waves, both audible and inaudible. (2) The
     physical qualities of a room or other enclosure  (such as size, shape,
     amount of noise)  that  determine the audibility  and perception of
     speech and music.

AIRBORNE SOUND—Sound that reaches the point of interest by propaga-
     tion through air.

AIR FLOW RESISTANCE-See flow resistance.

AMBIENT NOISE LEVEL-The ambient noise level follows the usage of
     the word  "ambient" throughout the environmental sciences (except
     acoustics). That is, the ambient noise level  is that level  that exists
     at any instant, regardless of source.

ANALYSIS—The analysis of a noise generally refers to the examination of
     the composition of  noise in  its various frequency bands,  such as
     octaves or third-octave bands.

ANECHOIC ROOM—An  anechoic  room  is  one  whose boundaries  have
     been  designed  (with  acoustically absorbent materials)  to  absorb
     nearly all the  sound  incident on  its boundaries, thereby affording
     a test room essentially free from reflected sound.

ANTINODE (LOOP)—A point, line, or surface in a standing wave where
     the vibration or sound pressure has maximum amplitude.

ARTICULATION INDEX (AI)-A  numerically calculated measure of the
     intelligibility of transmitted or processed speech. It takes into account
     the limitations of the transmission path and the  background noise.
     The articulation  index can range in  magnitude between 0 and 1.0.
     If the Al is less than 0.1, speech intelligibility is generally low. If it
     is above 0.6, speech intelligibility is generally high.

AUDIOFREQUENCY-The frequency of oscillation of an audible sinewave
     of sound; any frequency between 20 and 20,000 Hz. See also fre-
     quency.

AURAL-Of or pertaining to the ear or hearing.

                                27

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AUDIOGRAM-A graph showing hearing loss as a function of frequency.

AUDIOMETER—An instrument for measuring hearing sensitivity of hearing
     loss.

BACKGROUND NOISE-The total of all noise  in a system or situation,
     independent  of the presence  of  the  desired signal. In acoustical
     measurements, strictly speaking, the term "background noise" means
     electrical noise  in  the  measurement system. However, in  popular
     usage the term  "background noise" is also used with the same mean-
     ing as "residual noise."

BAFFLE-A  baffle is a shielding structure  or  series of partitions  used
     to  increase the effective length of the external transmission  path
     between  two points  in  an acoustic system. For example, baffles
     may be used in  sound traps (as in  air conditioning ducts) or in auto-
     motive mufflers to decrease the sound transmitted while affording
     a path for air flow.

BAND—A segment of  the frequency spectrum.

BAND  CENTER FREQUENCY-The designated (geometric) mean  fre-
     quency of a band of noise or other signal. For example, 1000 Hz is
     the band center frequency  for the octave band that extends from
     707 Hz to 1414 Hz, or for the third-octave band that extends from
     891 Hz to 1123  Hz.

BAND  PRESSURE (OR POWER)  LEVEL-The pressure (or power)  level
     for the sound  contained within  a specified  frequency band. The
     band may be specified  either by its lower and upper cutoff fre-
     quencies, or by its geometric center frequency. The width of the
     band is often indicated by a prefatory modifier; e.g., octave band,
     third-octave band, 10-Hz band.

BOOM  CARPET—The area on the ground underneath an aircraft flying
     at supersonic speeds that is hit by a sonic boom of specified mag-
     nitude.

BROADBAND  NOISE—Noise  with  components over a wide range of
     frequencies.
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C-WEIGHTED SOUND LEVEL (dBC)-A quantity, in decibels, read from
     a standard sound-level meter that is switched to the weighting net-
     work labeled "C". The C-weighting network weighs the frequencies
     between 70 Hz and  4000 Hz uniformly, but below and above these
     limits, frequencies are slightly discriminated against. Generally, C-
     weighted  measurements  are  essentially the same  as overall  sound-
     pressure levels, which require no  discrimination  at any frequency.

COINCIDENCE  EFFECT—The coincidence effect occurs when the wave-
     length of the bending wave in a panel coincides with  the length of
     an  incident sound wave at the angle at which it  strikes the panel.
     At  any particular frequency, this effect can occur only if the wave
     in air is traveling at a particular angle with respect to the surface
     of the panel. Under this condition, a high degree of coupling is achiev-
     ed  between the  bending wave in the panel and  the sound in the air.
     When  the  coincidence effect occurs, the transmission loss  for the
     panel is greatly reduced. See also critical frequency.

COMMUNITY NOISE EQUIVALENT LEVEL-Community Noise Equiva-
     lent Level (CNEL) is a scale .that  takes account of all the A-weighted
     acoustic energy  received at  a point,  from all  noise events causing
     noise  levels above some prescribed value. Weighting factors are in-
     cluded that place greater importance  upon noise events occurring
     during the evening hours (7:00 p.m. to 10:00 p.m.) and even greater
     importance upon noise events at  night (10:00 p.m. to 6:00 a.m.).

COMPOSITE NOISE  RATING-Composite noise rating (CNR) is a scale
     that   takes account of the  totality of all aircraft operations at an
     airport in quantifying the total aircraft noise environment. It was the
     earliest method  for  evaluating compatible land use around  airports
     and is still  in wide use by the Department of Defense in predicting
     noise  environments  around military airfields. Basically, to  calculate
     a CNR value, one begins with a measure of the maximum noise magni-
     tude  from each  aircraft flyby and  adds weighting factors that sum
     the cumulative effect of all flights. The scale used to describe in-
     dividual  noise events is  perceived noise level (in  PNdB); the term
     accounting for number of flights is 10 log-|ON (where N is the number
     of flight operations), and each night operation counts as much as 10
     daytime operations.  Very approximately, the noise exposure level at a
     point  expressed in the CNR scale will be numerically 35-37 dBhigher
     than if expressed in the CNEL scale.
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CONTINUOUS  SOUND  SPECTRUM-A  continuous sound  spectrum is
     composed  of components  that  are continuously distributed  over
     a frequency region.

CRITERION—A criterion, in Federal environmental usage, is a statement of
     the cause and effect relationship between  a given level of pollutant
     and specific effects on human life.

CRITICAL FREQUENCY-The  critical frequency is the lowest frequency
     at which the coincidence effect can occur. At this frequency, the
     coincidence angle is 90°, that is, the sound wave is traveling parallel
     to the surface of the panel. Below this frequency, the wavelength in
     air is greater than the bending wavelength in the panel.

CUTOFF FREQUENCIES-The  frequencies that mark the ends of a band,
     or at which the characteristics of a filter change from pass to no-pass.

CYLINDRICAL  DIVERGENCE-Cylindrical  divergence  is  the condition
     of propagation of cylindrical waves that accounts for the regular de-
     crease  in  intensity of a  cylindrical wave  at progressively greater
     distances from the source. Under this condition, the sound-pressure
     level decreases 3 decibels with  each doubling of distance from the
     source. See also spherical divergence.

CYLINDRICAL WAVE—A cylindrical wave is a wave in which the surfaces
     of constant phase are coaxial cylinders. A line of closely-spaced sound
     sources  radiating into an open space produces a free sound field of
     cylindrical waves. See also cylindrical divergence.

CYCLES PER SECOND—A measure of frequency numerically equivalent
     to Hertz.

DAMAGE RISK  CRITERION-A statement of noise levels (including fre-
     quency, duration, intermittancy,  and other  factors)  above which
     permanent  hearing loss of at least a specified  amount is likely to be
     sustained by  a person  (to a given  degree of probability). See also
     hearing loss, criterion.

DAMPING—The  dissipation of energy with time or distance. The term is
     generally applied to the attenuation of  sound in a structure owing
     to the internal sound-dissipative properties of the structure or owing
     to the addition of sound-dissipative materials.

                                30

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DECIBEL—The decibel (abbreviated "dB") is a measure, on a logarithmic
     scale, of the magnitude of a particular quantity (such as sound pres-
     sure, sound  power, intensity)  with  respect to a standard reference
     value (0.0002 microbars for sound pressure and 10-12 watt for sound
     power).

DIFFUSE SOUND FIELD—The presence of many reflected waves (echoes)
     in a room (or auditorium)  having  a very small amount of sound
     absorption, arising  from  repeated reflections of sound in various
     directions. In a diffuse field, the sound pressure level,  averaged over
     time, is everywhere the same and the flow of sound energy is equally
     probable in all directions.

DIRECTIVITY INDEX—In a  given direction from a sound source,  the
     difference in decibels between (a) the sound-pressure level produced
     by  the source  in that direction,  and (b)  the space-average sound-
     pressure level of that source, measured at the same distance.

DIRECTIVITY PATTERN-The directivity pattern of a source of sound
     is the  hypothetical surface in space  over which  the sound pressure
     levels produced by the source are constant. See also directivity index.

DOPPLER EFFECT (DOPPLER SHIFT)-The apparent upward  shift in
     frequency of a sound as a noise  source approaches the listener (or
     vice versa), and  the apparent downward shift when the noise source
     recedes. The classic example  is the change  in pitch  of a  railroad
     whistle as the locomotive approaches and passes by.

DUCT  LINING OR WRAPPING-Usually a sheet of porous material placed
     on the inner or outer wall(s) of a duct to introduce sound attenuation
     and  heat insulation. It is often used in air conditioning systems. Lin-
     ings are more  effective in attenuating sound that travels inside along
     the length of a  duct, while wrappings are more effective in prevent-
     ing sound from being radiated  from the ductsidewalls  into surround-
     ing spaces.

EFFECTIVE PERCEIVED  NOISE  LEVEL (EPNL)-A physical measure
     designed to  estimate the  effective "noisiness" of a single noise event
     usually an aircraft fly-over; it is derived from instantaneous Perceived
     Noise Level (PNL) values by applying corrections for pure tones and
     for the duration of the noise.
                                 31

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ELECTROACOUSTICS-The science and technology of transforming sound
     waves into currents in electrical circuits  (and vice versa), by means
     of microphones,  loudspeakers,  and electronic amplifiers and filters.

FAR  FIELD—Consider any sound source in free  space. At  a  sufficient
     distance from the source, the sound pressure level obeys the inverse-
     square law (the sound pressure decreases 6 dB with each doubling of
     distance from the source). Also, the sound particle velocity is in phase
     with the sound pressure. This region is called the far field of the sound
     source. Regions closer to the source, where these two conditions do
     not hold,  constitute the near field.  In an enclosure, as opposed to free
     space, there can also sometimes be a far field  region if there is not so
     much reflected sound that the near field and the reverberant field
     merge. See also reverberant field.

FILTER—A  device that transmits  certain frequency components of  the
     signal (sound or  electrical) incident upon  it, and rejects other fre-
     quency components of the incident signal.

FLOW RESISTANCE—The flow  resistance of a porous material  is one of
     the  most  important quantities determining the sound absorbing
     characteristics of  the material. Flow resistance is a ratio of  the pres-
     sure differential  across  a sample of the porous material to the air
     velocity through it.

FOOTPRINT (NOISE)-The shape  and size of the geographical pattern of
     of noise  impact that  an aircraft makes on  the areas near an airport
     while landing or taking off.

FREE SOUND  FIELD (FREE FIELD)-A sound field in which the effects
     of obstacles or boundaries on sound  propagated in  that  field  are
     negligible.

FREQUENCY-The number of  times per  second  that the sine-wave of
     sound  repeats itself, or that  the sine-wave  of a  vibrating object re-
     peats itself.  Now expressed in Hertz (Hz), formerly in cycles  per
     second (cps).

FUNCTION—A  quantity  that varies as a result of variations of another
     quantity.
                                 32

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FUNDAMENTAL FREQUENCY-The  frequency  with  which a periodic
     function  reproduces  itself, sometimes  called the first  harmonic
     (see also harmonic).

GAUSSIAN  DISTRIBUTION  (or NORMAL DISTRIBUTION)-A term
     used in statistics to describe the extent and frequency of deviations
     or errors. The outstanding characteristics are  a tendency to a maxi-
     mum  number  of occurrences at or near the  center or  mean point,
     the progressive decrease of frequency of  occurrence with distance
     from  the center, and  the  symmetry  of distribution  on either side
     of the center. In respect of random noise, each fluctuation of ampli-
     tude is an occurrence, whether above or below the mean level; the
     peak  value  of each fluctuation is the error and the distribution of
     errors with time is Gaussian.

GRADIENT—A variation of the  local  speed of sound with height above
     ground or  other measure of distance causing refraction of  sound.
     It is most  commonly  caused  by rising or falling temperature with
     altitude or by differences in wind speed.

HARMONIC—A sinusoidal  (pure-tone)  component whose frequency is a
     whole-number multiple of the fundamental frequency of the wave.
     If a component has a  frequency  twice that of the fundamental it is
     called the second harmonic.

HEARING  DISABILITY-An actual or presumed inability, due to hearing
     impairment, to remain employed at full wages.

HEARING  HANDICAP—The disadvantage imposed by a hearing impair-
     ment  sufficient to  affect one's efficiency  in  the situation of every-
     day living.

HEARING  IMPAIRMENT—A deviation or change for the worse in either
     hearing structure  or function, usually outside  the  normal range;
     see hearing  loss.

HEARING  LOSS—At a  specified frequency,  an amount, in decibels, by
     which  the threshold of audibility  for that ear exceeds a certain speci-
     fied audiometric threshold, that  is to say, the amount by which a
     person's hearing is  worse than some selected norm. The norm  may
     be the threshold established at some earlier time for that ear, or the
     average threshold for some large population, or the threshold selected
     by some standards body for audiometric measurements.
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HEARING  LOSS FOR SPEECH-The difference in decibels between the
     speech levels at which the "average normal" ear and a defective ear,
     respectively,  reach the  same intelligibility, often  arbitrarily  set at
     50 percent.

HERTZ—Unit of measurement of frequency, numerically equal to  cycles
     per second.

IMPACT—(1) An  impact is a  single collision of one  mass in motion with
     a second mass  that  may be either in motion or at rest.  (2) Impact
     is  a word used to express the extent or severity of an environmental
     problem; e.g., the number of persons exposed to  a given noise en-
     vironment.

IMPACT INSULATION CLASS (IIC)-A  single-figure rating  that   is in-
     tended  to  permit the  comparison of the impact sound  insulating
     merits of floor-ceiling assemblies in  terms of  a reference contour.

IMPACT SOUND—The sound arising from the impact  of a solid  object
     on an  interior surface (wall, floor, or ceiling) of a building. Typical
     sources are  footsteps, dropped objects, etc.

INFRASONIC—Of a frequency below the audiofrequency range.

INVERSE-SQUARE LAW-The inverse-square  law describes  that  acous-
     tic  situation where  the  mean-square pressure changes  in inverse
     proportion  to the square  of the distance from the source.  Under
     this  condition, the sound-pressure  level  decreases 6 decibels with
     each doubling of distance from the  source. See also spherical diver-
     gence.

ISOLATION-See vibration isolator.

JET  NOISE—Noise produced  by the exhaust of a jet into its surrounding
     atmosphere. It is generally associated with the  turbulence generated
     along the  interface between the jet  stream  and the atmosphere.

LI o LEVEL—The sound level exceeded 10 percent of the time. Corresponds
     to peaks of  noise in the  time  history of environmental  noise in a
     particular setting.
                                34

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    LEVEL—The sound level exceeded 50 percent of the time. Corresponds
     to the average level of noise in a particular setting, over time.

    LEVEL-The sound level exceeded 90 percent of the time. Corresponds
     to the residual noise level.

LEVEL—The value of a quantity  in decibels. The level  of  an acoustical
     quantity  (sound  pressure  or  sound  power), in  decibels, is 10 times
     the logarithm (base 10) of the ratio of the quantity to a reference
     quantity of the same physical  kind.

LINE  SPECTRUM—The spectrum of a sound whose  components occur at
     a number of discrete frequencies.

LIVE  ROOM—One characterized by an unusually small amount of sound
     absorption. See reverberation room.

LOUDNESS—The  judgment of  intensity  of  a sound by a human being.
     Loudness depends primarily upon the sound pressure of the stimulus.
     Over much of the loudness range it takes about a threefold increase
     in sound  pressure (approximately 10 dB) to produce a doubling of
     loudness.

LOUDNESS LEVEL-The loudness level of a sound, in phons, is numeri-
     cally equal to  the median sound pressure  level, in  decibels, relative
     to 0.0002 microbar,  of a free progressive wave  of frequency 1000
     Hz presented to listeners facing the source, which  in a number of
     trials is judged by the listeners to be equally loud.

MACH NUMBER-The ratio of a speed of a moving element to the speed
     of sound  in the surrounding medium.

MASKING-The action of bringing one sound (audible when heard alone)
     to inaudibility or to  unintelligibility by the introduction of another
     sound. It is  most marked when the masked sound  is  of higher fre-
     quency than the masking sound.

MASKING  NOISE-A noise that  is intense  enough  to render inaudible or
     unintelligible another sound that  is simultaneously present.

MEAN  FREE  PATH-The  average distance sound  travels  between suc-
     cessive reflections in a room.
                                35

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MEDIUM—A substance carrying a sound wave.

MICROBAR—A microbar is a unit of pressure, equal to 1 dyne per square
     centimeter.

MICROPHONE—An  electroacoustic transducer  that  responds to sound
     waves and delivers essentially equivalent electric waves.

NEAR FIELD-See far field.

NODE—A point, line, or surface where a wave has zero amplitude.

NOISE—Any sound  that  is  undesirable because it interferes with speech
     and hearing, or is intense enough to damage hearing, or is otherwise
     annoying.

NOISE CRITERION (NC) CURVES-Any  of several versions (SC,  NC,
     NCA, PNC) of criteria used for rating the acceptability of continuous
     indoor noise levels, such as produced by air-handling systems.

NOISE EXPOSURE  FORECAST-Noise exposure forecast (NEF) is a scale
     (analogous to CNEL and CNR)  that  has been used  by the federal
     government  in land use planning guides for use in connection with
     airports.

     In the NEF scale, the basic  measure of  magnitude  for individual
     noise  events is the effective  perceived noise level (EPNL), in  units
     of EPNdB.  This magnitude measure includes the effect of duration
     per event. The terms accounting for number of flights and for weight-
     ing  by time period are  the same as in the CNR scale. Very approxi-
     mately,  the  noise exposure level at a point expressed in the  NEF
     scale will be numerically about 33 dB  lower than if expressed in the
     CNEL scale.

NOISE INSULATION-See sound insulation.

NOISE ISOLATION CLASS  (NIC)-A single number rating derived in a
     prescribed manner  from the  measured  values  of noise reduction.
     It provides an evaluation of the sound isolation between two enclosed
     spaces that are acoustically connected by one or more paths.
                                36

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NOISE LEVEL-See sound level.

NOISE AND  NUMBER  INDEX (NNI)-A  measure  based  on Perceived
     Noise Level, and with weighting factors added to account for the
     number  of noise events, and used (in some European countries) for
     rating the noise environment near airports.

NOISE POLLUTION LEVEL (LNP or NPL)-A measure of the total com-
     munity  noise, postulated to be  applicable to  both  traffic noise and
     aircraft noise. It is computed from the  "energy average" of the noise
     level and the  standard  deviation of the time-varying noise  level.

NOISE REDUCTION (NR)-The noise reduction between  two areas or
     rooms is the numerical difference, in decibels, of the average sound
     pressure levels in those areas or  rooms. A measurement of "noise re-
     duction" combines the effect of the transmission loss performance
     of structures separating the two areas  or rooms, plus  the effect of
     acoustic absorption present in the receiving room.

NOISE REDUCTION COEFFICIENT (NRC)-A  measure of the acous-
     tical absorption performance of a material, calculated by averaging
     its sound absorption coefficients at  250, 500, 1000, and 2000 Hz,
     expressed to the nearest  integral multiple of  0.05.

NORMAL DISTRIBUTION-See Gaussian distribution.

NOYS—A unit used in the calculation of Perceived Noise Level.

OCTAVE—An octave is the interval  between two sounds having a basic
     frequency  ratio of two.  For  example,  there are 8 octaves on the
     keyboard of a standard piano.

OCTAVE  BAND-AM of  the components, in a sound spectrum, whose
     frequencies are between two sine wave  components separated by an
     octave.

OCTAVE-BAND  SOUND  PRESSURE  LEVEL-The  integrated  sound
     pressure level  of only  those sine-wave components in  a specified
     octave band, for a noise or sound having a wide spectrum.
                                37

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OSCILLATION—The variation with time, alternately increasing and decreas-
     ing, (a) of some feature of an audible sound, such as the sound pres-
     sure, or (b)  of some feature of a vibrating >olid object, such as the
     displacement of its surface.

PARTIAL NODE—A partial node is the point, line, or surface in a standing
     wave  system where there is a  minimum  amplitude  differing  from
     zero.

PEAK  SOUND  PRESSURE-The maximum instantaneous sound pressure
     (a)  for a transient or  impulsive  sound of short duration, or (b) in a
     specified time interval for a sound of long duration.

PERCEIVED  NOISE  LEVEL  (PNL)-A quantity expressed  in decibels
     that provides  a subjective assessment of the  perceived  "noisiness"
     of aircraft noise. The units of  Perceived Noise  Level are  Perceived
     Noise Decibels, PNdB.

PERIOD—The duration of time  it takes for a periodic wave form (like a
     sine wave) to repeat itself.

PERMANENT THRESHOLD SHIFT (PTS)-See temporary threshold shift.

PHASE—For a particular value  of the  independent variable, the  fractional
     part of a period through which the independent  variable has advanced,
     measured from an arbitrary reference.

PHON—The unit of measurement for loudness level.
      Phons = 40 + Iog2 sone.

PINK NOISE—Noise where level decreases with increasing frequency  to
     yield constant energy per octave of band width.

PITCH—A listener's perception of the  frequency of a pure tone; the higher
     the frequency, the higher the pitch.

PLANE WAVE—A wave whose wave  fronts are parallel and perpendicular
     to the direction in which the wave is travelling.

PNdB—See perceived noise level.
                                38

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PRESBYCUSIS—The decline in  hearing acuity that normally  occurs as a
     person grows older.

PURE TONE—A sound wave whose waveform is that of a sine-wave.

RANDOM INCIDENCE-lf an object is in a diffuse sound field, the sound
     waves that comprise the sound field are said  to  strike  the object
     from  all angles  of incidence at random. See  also Gaussian distri-
     bution.

RANDOM NOISE—An  oscillation  whose instantaneous  magnitude is not
     specified for any given instant of time. It can be described in a statis-
     tical sense  by probability  distribution functions giving the fraction
     of the total time that the magnitude of the noise lies within a speci-
     fied range.

RATE  OF  DECAY-Rate  of decay is the time rate  at which the sound-
     pressure  level  (or other stated characteristic,  such as  a vibration
     level) decreases at a given  point and at a given time after the source
     is turned off. The commonly used unit is decibels per second.

REFRACTION—The  bending  of a sound  wave  from  its original path,
     either because it is passing from one medium to another or because
     (in air) of a temperature or  wind gradient in the medium.

RESIDUAL NOISE  LEVEL-The term "residual noise"  has been adopted
     to mean  the noise  that  exists at a point as a result of the combina-
     tion of many distant sources, individually indistinguishable. In statis-
     tical terms, it is the level  that  exists 90 percent of the time. (Acous-
     ticians should note it means the same level to which they have custo-
     marily applied  that  term  "ambient.")  See also background noise.

RESONANCE—The relatively large amplitude of vibration produced when
     the frequency of some  source of sound or vibration "matches" or
     synchronizes with the natural frequency of vibration of some object,
     component, or system.

RESONATOR—A resonator is a  device that resounds or vibrates in sympa-
     thy with some source of sound or vibration.

RETROFIT—The retroactive modification of an existing building or ma-
     chine.  In current usage, the  most common  application of the word

                                 39

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     "retrofit" is to the  question of modification of existing jet aircraft
     engines for noise abatement purposes.

REVERBERANT FIELD-The region in a room where the reflected sound
     dominates, as opposed to the region close to the noise source where
     the direct sound dominates.

REVERBERATION—The  persistence of sound in  an  enclosed space, as a
     result of multiple reflections, after the  sound  source  has stopped.

REVERBERATION  ROOM-A room  having  a long reverberation time,
     especially designed to make  the sound  field inside it as diffuse  (homo-
     geneous) as possible. Also called a live room.

REVERBERATION  TIME (RT)-The reverberation time of a room is the
     time taken for the sound pressure level  (or  sound intensity) to de-
     crease to one-millionth (60 dB)  of its steady-state value when the
     source of sound energy is suddenly interrupted.  It is a measure of the
     persistence of an impulsive  sound in  a room and of the amount of
     acoustical absorption present inside the room.

ROOM CONSTANT—The  room constant is  equal to (a) the product of the
     average  absorption coefficient  of the room and the  total  internal
     area of the room, divided by (b) the quantity one minus the average
     absorption coefficient.

ROOT-MEAN-SQUARE  (RMS)-The root-mean square value of a quantity
     that is varying as a function of time is obtained  by squaring the func-
     tion at each  instant, obtaining the average of the squared values over
     the interval  of interest, and taking the square  root of this average.
     For a sine wave, multiply the  RMS value by   \/~2, or about 1.43,
     to  get  the peak value of the wave. The  RMS value, also called the
     effective value of the sound  pressure,  is the best measure of ordinary
     continuous sound, but the  peak value is  necessary for assessment of
     impulse noises.

SHIELDING—The attenuation of a sound  by  placing walls, buildings, or
     other barriers between a sound source and  the receiver.

SINE-WAVE-A sound wave, audible as a pure tone, in which the sound
     pressure is a sinusoidal function of time.
                                40

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SOME—The unit of measurement for loudness. One sone  is the loudness
     of a sound whose level is 40 phons.

SONIC BOOM—The pressure transient produced at an observing point by a
     vehicle that is moving past (or over) it faster than the  speed of sound.

SOUND-See acoustics (1).

SOUND ABSORPTION COEFFICIENT-See absorption coefficient.

SOUND ANALYZER—A sound analyzer is a device for measuring the
     band-pressure level or pressure-spectrum level of a sound as a function
     of frequency.

SOUND INSULATION-(I) The use of structures and materials designed
     to reduce the transmission of sound from one room or area to another
     or from the  exterior to the interior of a building. (2) The degree by
     which sound transmission is reduced by means of sound insulating
     structures and materials.

SOUND LEVEL  (NOISE LEVEL)-The  weighted  sound pressure  level
     obtained by  use of a sound level meter having a standard frequency-
     filter for attenuating part of the sound spectrum.

SOUND LEVEL METER—An  instrument, comprising a  microphone, an
     amplifier, an output meter, and frequency-weigh ting networks,  that
     is used for the measurement of noise and sound levels  in a specified
     manner.

SOUND POWER—The total amount of energy radiated into the atmospheric
     air per unit time by a source of sound.

SOUND POWER  LEVEL-The  level of sound  power, averaged  over  a
     period of time, the reference being 1CH2 watts.

SOUND PRESSURE-(I) The  minute  fluctuations  in atmospheric  pres-
     sure   that accompany the passage of  a sound wave; the pressure
     fluctuations on the tympanic membrane are transmitted to the inner
     ear and give  rise to the sensation of audible sound. (2) For a steady
     sound, the value of the sound pressure averaged over a period of time.
                               41

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     (3) Sound pressure is usually measured (a) in dynes per square centi-
     meter  (dyn/cm2),  or (b) in  newtons per square meter  (N/m2). 1
     N/m2 = 10 dyn/cm2 10-5 times the atmospheric pressure.

SOUND PRESSURE LEVEL-The root-mean-square value  of the pressure
     fluctuations  above and  below atmospheric pressure due to a sound
     wave; expressed in decibels re a reference pressure of 0.0002 micro-
     bars (2 x  10-5  newtons  per square meter).

SOUND SHADOW-The acoustical equivalent of a light shadow. A sound
     shadow is often partial because of diffraction effects.

SOUND  TRANSMISSION CLASS   (STC)-The  preferred  single  figure
     rating system designed  to give  an estimate of the sound  insulation
     properties of a partition or a rank ordering of a series  of partitions.
     It is intended for  use primarily when speech and office  noise con-
     stitute the principal noise problem.

SOUND TRANSMISSION COEFFICIENT-The fraction of incident sound
     energy transmitted through a structural configuration.

SOUND TRANSMISSION LOSS (TRANSMISSION LOSS  (TL))-A mea-
     sure of sound  insulation provided by a structural configuration. Ex-
     pressed in decibels, it is 10 times the logarithm to the base 10 of the
     reciprocal of the sound  transmission coefficient of the configuration.

SPACE-AVERAGE SOUND-PRESSURE LEVEL-The space-average sound
     pressure  level is the sound-pressure level averaged over  all directions
     at a constant distance from the source.

SPECTRUM—The description a sound wave's resolution into  components,
     each of different  frequency and  (usually) different  amplitude and
     phase.

SPEECH-INTERFERENCE LEVEL (SIL)-A calculated quantity  provid-
     ing a guide to the  interfering effect of a noise on reception of speech
     communication. The  speech-interference  level  is  the  arithmetic
     average of the octave-band sound-pressure  levels of the  interfering
     noise in  the  most important part of the speech frequency  range.
     The levels in  the  three octave-frequency bands centered at 500,
                                42

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     1000, and 2000 Hz are commonly averaged to determine the speech-
     interference level.  Numerically, the magnitudes of aircraft sounds
     in the speech-interference level scale are approximately 18 to 22 dB
     less than the same sound in the perceived noise level scale in PNdB,
SPEED  (VELOCITY) OF SOUND IN AIR-The speed of sound in air is
     344 m/sec or 1128 ft/sec at 78°F.

SPHERICAL  DIVERGENCE-Spherical divergence is the condition of
     propagation of  spherical  waves that  relates to the regular decrease
     in intensity of  a spherical  sound wave at progressively greater dis-
     tances from  the  source. Under this condition the sound-pressure
     level  decreases 6  decibels with  each  doubling of distance from the
     source. See also cylindrical divergence.

SPHERICAL  WAVE—A sound wave in which  the surfaces of constant
     phase are concentric spheres. A small (point) source radiating  into
     an  open space produces a free sound field of spherical waves.

SPL—See sound pressure level.

STANDARD—(1) A  prescribed  method  of measuring acoustical quan-
     tities. Standards in  this sense  are promulgated by  professional and
     scientific societies like ANSI,  SAE,  ISO, etc., as well as by other
     groups.  (2) In  the  sense used in Federal environmental statutes,
     a  standard is a  specific  statement of permitted environmental  con-
     ditions.

STANDING WAVE—A periodic  sound  wave having a fixed distribution
     in space, the result  of interference of traveling sound waves of the
     same  frequency and kind. Such sound waves are characterized by the
     existence  of nodes, or partial  nodes, and antinodes that are  fixed
     in space.

STEADY-STATE SOUNDS-Sounds  whose average characteristics remain
     constant in time. An example  of a steady-state sound is  an air con-
     ditioning unit.

STRUCTUREBORNE  SOUND-Sound that reaches the point of interest,
     over at least part of its path, by vibration of a solid structure.
                                43

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SUBHARMONIC—A sound component of frequency a whole number of
     times less than the fundamental frequency of the  sounds' complex
     wave.

TAPPING MACHINE—A device that  produces a standard impulsive noise
     by letting weights  drop a fixed distance onto the floor. Used in tests
     measuring the isolation from impact noise provided by various floor-
     ceiling constructions.

TEMPORARY THRESHOLD SHIFT (TTS)-A temporary impairment of
     hearing  capability  as indicated  by an increase in  the threshold of
     audibility. By definition, the ear recovers after a given  period of
     time. Sufficient exposures to noise of sufficient intensity, from which
     the ear never completely recovers, will lead to a permanent threshold
     shift (PTS), which constitutes hearing loss. See hearing loss, threshold
     shift, threshold of audibility.

THIRD-OCTAVE  BAND-A  frequency band whose  cutoff frequencies
     have a ratio of 2 to the one-third power, which  is approximately
     1.26. The cutoff frequencies of 891 Hz and 1112 Hz define a third-
     octave band in common use. See also band center frequency.

THRESHOLD OF AUDIBILITY (THRESHOLD  OF DETECTABILITY)-
     The minimum sound-pressure level at which  a  person can  hear a
     specified sound for a specified fraction of trials.

THRESHOLD SHIFT—An increase in a hearing threshold level that results
     from exposure to noise.

TONE—A sound of definite pitch. A pure  tone has a sinusoidal wave form.

TRAFFIC NOISE  INDEX (TNI)-A measure of the  noise environment
     created by vehicular traffic on highways;  it is computed from mea-
     sured values of the noise levels  exceeded 10 percent and 90 percent
     of the time.

TRANSMISSION LOSS-See sound transmission loss.

TRANSDUCER—A  device  capable of being actuated by waves from one or
     more transmission systems or  media and supplying related waves
     to one or more other transmission systems or media. Examples are
     microphones, accelerometers, and loudspeakers.

                               44

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ITS—See temporary threshold shift.

ULTRASONIC—Pertaining  to sound frequencies above the audible sound
     spectrum (in general, higher than 20,000 Hz).;

VIBRATION  ISOLATOR-A resilient  support for machinery and  other
     equipment that might be a source of vibration, designed to reduce
     the amount of vibration transmitted to the building structure.

WAVEFORM—A presentation of some  feature of a sound wave,  e.g., the
     sound pressure, as a graph showing the moment-by-moment variation
     of sound pressure with time.

WAVEFRONT—An imaginary surface of a sound  wave on its way through
     the atmosphere. At all points on the wavefront, the wave is  of equal
     amplitude and phase.

WAVELENGTH—For a periodic wave (such as sound in air), the perpendic-
     ular distance between analogous points on any two successive waves.
     The wavelength of sound in air or in water is inversely proportional
     to the frequency of the sound. Thus, the lower the frequency, the
     longer the wavelength.

WHITE NOISE—Noise whose energy is uniform over a wide range of fre-
     quencies, being analogous in spectrum characteristics to  white light.
     White noise has a "hissing" sound. See also broadband noise.

WRAPPING-See duct lining or wrapping.
                             « U. S. GOVERNMENT PRINTING OFFICE : 1980 311-726/3878
                                 45

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