Report La Plata's Argentinean Theater (RAYES S - Corrected)

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    ACOUSTIC EVALUATION OF LA PLATAs

    ARGENTINEAN THEATER

    SANTIAGO RAYES

    Universidad Nacional de Tres de Febrero, Ingeniera de Sonido, Buenos Aires, [email protected]

    Abstract The purpose of this paper is to evaluate the objective acoustical parameters of the measurements

    made in La Platas Argentinean Theater. This evaluation includes the analysis of classic acoustical

    parameters as reverberation time, C50, C80 and strength. Also spatial parameters as IACC and Lateral

    Fraction where evaluated. The results were compared to the recommended values proposed by Beranek and

    Kutruff for this kind of spaces. Calculations show that the hall obtained acceptable results in comparison with

    the recommended parameters proposed for opera houses.

    1. INTRODUCTION.In order to describe the acoustical characteristics

    of a hall it is necessary to make the corresponding

    measurements to collect the information needed to

    calculate them. Different investigations through

    the years have come to a list of different

    acoustical parameters that show good

    reproducibility in different spaces and have a

    connection with subjective evaluations. Some of

    these parameters are investigated in this paper.

    The standardization of the measurement protocols

    and the acoustical parameters used allows the

    researcher to compare the acoustical

    characteristics of different spaces.

    In this paper measurements made at La Platas

    Argentinean Theater are described. Some

    representative acoustical parameters are calculated

    and compared with Beranek and Kuttruffs

    recommended values for concert halls and opera

    houses .

    1. BASIC CONCEPTS.1.1.Reverberation time. [2]

    Reverberation time is defined as that time required

    for the sound in a room to decay 60 dB. This

    represents a change in sound intensity or sound

    power of 1 million (10 log 1,000,000 = 60 dB), or

    a change of sound pressure or sound-pressure

    level of 1,000 (20 log 1,000 = 60 dB). In very

    rough human terms, it is the time required for a

    sound that is very loud to decay to inaudibility.

    Obtaining a nice, linear decay spanning 60 dB or

    more as shown in Fig. 1A is a very difficult

    practical problem. Background noise, an

    inescapable fact of life, suggests that a higher

    source level is needed. This may occur if the

    background noise level is 30 dB (as in Fig. 1B),

    because source levels of 100 dB are quite

    attainable.

    The situation of Fig. 1B is the one commonly

    encountered a usable trace less than the desired 60

    dB. The solution is simply to extrapolate the

    straight portion of the decay. It has been

    demonstrated that in evaluating the quality of

    speech or music, the first 20 or 30 dB of decay is

    the most important to the human ear.

    FIGURE 1 - THE LENGTH OF THE DECAY DEPENDENT ON

    STRENGTH OF THE SOURCE AND THE NOISE LEVEL. (A) RARELY

    DO PRACTICAL CIRCUMSTANCES ALLOW A FULL 60-DB DECAY.

    (B) THE SLOPE OF THE LIMITED DECAY IS EXTRAPOLATED TO

    DETERMINE THE REVERBERATION TIME.[2]

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    (1) () = 0,161 . [.]V = Volume of the room. [m3].

    Atot = med.Stot = Total absorption of the room.

    [sabins].

    med = individual surface absorption index.

    Stot = Si = total surface of the room. [m2].

    Si = area of an individual surface. [m2].

    m = air sound attenuation constant. [].

    RTmid is the reverberation time obtained as an

    average of the values corresponding to 500 Hz.

    and 1 kHz. frequency bands.

    (2) = [ (500 . ) + (1 . )]2 []

    1.2.Bass Ratio (BR). [3]It can be obtained as the ratio between the

    addition of the reverberation times corresponding

    to 125 Hz. and 250 Hz. frequency bands and the

    addition of the reverberation time corresponding

    to 500 Hz. and 1 kHz. frequency bands. It is

    related to the subjective feeling of acoustic

    warmth.

    (3)= [ (125 . ) + (250 . )]

    [(500 . ) + (1 . )]

    1.3.Brightness (Br). [3]It is obtained as the ratio between the addition of

    the reverberation times corresponding to 2 kHz.

    and 4 kHz. frequency bands and the addition of

    the reverberation times corresponding to 500 Hz.

    and 1 kHz. frequency bands.

    (4)= [ (2 . ) + (4 . )][ (500 . ) + (1 . )]

    1.4.C50. [3]It is defined as the relationship between the sound

    energy that arrives to the listener during the first

    50 msec. from the arrival of the direct sound

    (direct sound and first reflections) and the sound

    energy after 50 msec. . [2]

    (5)50[]=10log( () /,

    ())

    .

    () is the impulse response at a receiver point..1.5.C80. [3]

    Indicates the separation degree between the

    different individual sounds of a musical

    composition. [2]

    (6)80[]=10log( () /,

    ())

    .

    () is the impulse response at a receiver point.1.6.Lateral Fraction (LF). [3] [4]

    Lateral reflections contribute to spaciousness.

    Barron [7] found that the contribution of areflection to spaciousness is proportional to its

    energy and cos, where is the angle between the

    axis through a listeners ears and the direction of

    sound incidence, provided delay is in the range

    from 5 to 80 msec. This contribution is

    independent of other reflections and of the

    presence or absence of reverberation. Lateral

    fraction (LF) was proposed as an objective

    measure for the spatial impression.

    (7)= [()] / [()]

    ()is the impulse response at a receiver point.

    1.7.IACC. [3]Inter Aural Cross Correlation can be defined as

    the correlation between sound arriving to both

    ears. It indicates the degree of similarity that

    exists between two signals. If the signals are the

    same, then IACC will be 1, while if they are

    completely different IACC will have a value of 0.

    (8)

    0 IACC 1

    ir() is the IACF obtained from the ACFs forthe left and right ears and is the interaural time

    delay.

    mslr 1,)(IACC max

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    When it comes to an existent hall the measure

    associated with IACC is binaural and has to be

    recorded using a pair of microphones placed on

    the ears of an artificial head (dummy head).

    The IACCe (EARLY) corresponds to the first 80

    ms. from the arrival of the direct sound, and theIACCl (LATE) is calculated from 80ms to 1s. .

    Okano proved that 500 Hz., 1 kHz. and 2 kHz are

    the most representative frequency bands. In

    consequence the IACCe3 and the IACCl3 appears

    as an average of the IACCe and the IACCl using

    the above mentioned frequeny bands.

    When it comes to comparisons the (1-IACCe3)

    value is commonly used.

    Beranek compared the (1-IACCe3) withsubjective appreciations. In Table 1 a value of (1-

    IACCe3) can be seen with his corresponding

    subjective category.

    TABLE 1(1-IACCE3) RECOMMENDED VALUES.

    1.8.Stage Parameters (ST Early and Late).[5] [6]

    The early support (STearly) relates to ensemble,

    i.e. ease of hearing each other members of an

    orchestra.. Influences of the direct sound, delay

    time and the reflections from near surfaces are not

    included. The typical range goes from -24 dB to -

    8 dB. .

    (9)

    The late support (STlate) relates to perceived

    reverberance, i.e. the response of the hall as heard

    by the musician (on the stage). The typical range

    goes from -24 dB to -10 dB.

    (10)

    in both cases is the impulse responsemeasured at a distance of 1 meter from the

    acoustic center of an omnidirectional source.

    1.9.Sound Strength (G). [3]It is the degree of sound amplification producedby the hall. It depends on the listeners distance to

    the stage, the energy associated to the early

    reflections, of the surface of the audience and the

    level of the reverberant field.

    It can be defined as the difference between the

    total sound pressure level produced by an

    omnidirectional source in a determined position in

    a hall (Lp) and the sound pressure level produced

    by the same source placed in free field at a 10

    meters distance (Lref).

    (11)

    () is the impulse response at a receiver point.() is the reference impulse responsemeasured at a distance of 10 meters from the

    source in a free field.

    In the case of the Gmid the sound strength is

    analysed in the 500 Hz. and 1 kHz. frequency

    bands. Beranek [1] recommends these values of

    Gmid for empty concert halls:

    4 Gmid 5,5 [dB]

    2. EQUIPMENT. Presonus AudioBox 44VSL Audio

    Interface + PC.

    Motu Traveller Audio Interface + PC.

    M-Audio Fastrack Audio Interface + PC. SPS200 Software controlled Soundfield

    Microphone.

    Outline Globe omnidirectional sourceradiator with sub-woofer.

    G.R.A.S. Kemar Dummy Head. 4 earthworks measurement microphones. Svantek SV959 type 1 Sound Level

    Meter.

    01.0

    0

    21.0

    02.0

    2

    10

    )(/)(log10 dttpdttpSTEarly

    01.0

    0

    20.1

    1.0

    2

    10 )(/)(log10 dttpdttpSTLate

    0

    2

    0

    2

    10 )()(log10 dttpdttpG ref

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    3. THE PLACE.La Platas Argentinean Theater is an artistic

    complex which has one of most important lyrical

    hall in Argentina. It is placed in La Plata city,

    capital of the Buenos Aires province (Figure 2).

    The Alberto Ginastera is the main hall of the

    complex where the measurements where done. It

    was opened in the year 1999 and has an Italian

    horseshoe style. With its stalls, three levels of box

    seats and galleries can hold and audience of 2000

    spectators. The space has an opera hall design.

    The main usages of the hall are opera, classical

    music, choreographic and popular music

    performances.

    FIGURE 2AERIAL SHOT OF THE THEATER.

    4. MEASUREMENTS PROCEDUREThe auditorium was in an unoccupied condition

    during all the measurements.

    The safety curtain was up and the pit was open.

    The stage condition for the measurement can be

    seen in Figure 3.

    First of all, background noise was measured in 10

    different positions. The results are shown in Table

    2.

    A one minute Leq was used in background noise

    measurements.

    Background noise measurements were made with

    a calibrated type 1 sound level meter.

    For the rest of the acoustical parameters 12

    representative positions of the theater were used.

    These positions are shown in Figure 5.

    In the case of the omnidirectional source used for

    the measurements, 2 different positions were used.

    Position 1 was placed on the stage (Figure 3) andposition 2 on the pit (Figure 4).

    Measurements in the above mentioned 12

    positions were made using a soundfield

    microphone and a dummy head.

    The soundfield microphone recorded data was

    post processed to obtain the

    omnidirectional/lateral sound incidence

    information for LF parameter and omnidirectional

    information to obtain the rest of the basic

    acoustical parameters of the hall.

    The signal used for the measurements was a 15

    seconds exponential sine sweep from 20 Hz. to 20

    kHz.

    5. RESULTSBackground noise results are shown in Table 1.

    T30 and EDT results are shown in Figure 6.

    Stage Parameter results, RTmid, EDTmid, BR andBr are shown in Table 2.

    C80 results with the source placed on the stage are

    shown in Figure 7.

    C80 results with the soruce placed on the pit are

    shown in Figure 8.

    C50 results are shown in Figure 9.

    Lateral Fraction results for some representative

    positions measured with the source on the pit are

    shown in Figure 10.

    Table 4 shows the results for the parameters C50

    speech average and C80 music average.

    Finally Table 5 shows the Gmid results and Table

    6 the (1-IACCe3) results.

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    FIGURE 5 -MEASUREMENT POSITIONS IN THE HALL.

    FIGURE 3SOURCE POSITION 1(ON THE STAGE).

    FIGURE 4SOURCE POSITION 2(ON THE PIT).

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    TABLE 2BACKGROUND NOISE LEVELS IN DBZ AND DBA.

    BACKGROUND NOISE

    POSITION Leq [dBZ] Leq [dBA] Difference

    Stage 62,1 42,7 19,4

    1 62,2 34,8 27,4

    2 65,8 36,2 29,6

    Ground floor lateral box seat 64,8 33,7 31,1

    3 62,3 36,2 26,1

    9 62,8 40,2 22,6

    10 63,5 34,6 28,9

    12 65 35,2 29,8

    11 63,3 35,7 27,6

    13 63,4 40,6 22,8

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    TABLE 3STAGE PARAMETERS RESULTS (LEFT). RTMID ,BASS RATIO,BRIGHTNESS AND EDTMID RESULTS (RIGHT).

    RT mid [s] 1,70

    BR 1,20

    Br 0,77

    EDT mid [s] 1,30

    STAGE Parameters [dB]

    ST early (s.stage) -20,21

    ST late (s.stage) -18,62

    ST early (s. pit) -10,50

    ST late (s.pit) -10,16

    FIGURE 6REVERBERATION TIME (T30) RESULTS AND EARLY DECAY TIME (EDT) RESULTS.

    0,50

    1,00

    1,50

    2,00

    2,50

    125 250 500 1000 2000 4000 8000 16000

    Frequency [Hz.]

    T30 and EDT [s]

    T30

    EDT

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    FIGURE 7C80 RESULTS WITH THE SOURCE PLACED ON THE STAGE.

    FIGURE 8C80 RESULTS WITH THE SOURCE PLACED ON THE PIT.

    -15

    -10

    -5

    0

    5

    10

    15

    20

    125 250 500 1000 2000 4000 8000 16000

    C80 (Source on stage)

    C80 1

    C80 2

    C80 3

    C80 4

    C80 5

    C80 6

    -15

    -10

    -5

    0

    5

    10

    15

    20

    125 250 500 1000 2000 4000 8000 16000

    C80 (Source on stage)

    C80 9

    C80 10

    C80 11

    C80 12

    C80 13

    C80 14

    -15

    -10

    -5

    0

    5

    10

    15

    20

    125 250 500 1000 2000 4000 8000 16000

    C80 (Source on pit)

    C80 1

    C80 2

    C80 3

    C80 4

    C80 5

    C80 6

    -15

    -10

    -5

    0

    5

    10

    15

    20

    125 250 500 1000 2000 4000 8000 16000

    C80 (Source on pit)

    C80 9

    C80 10

    C80 11

    C80 12

    C80 13

    C80 14

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    -7

    -5

    -3

    -1

    13

    5

    7

    9

    11

    13

    15

    125 250 500 1000 2000 4000 8000 16000

    Frequency [Hz.]

    C50

    C50 1

    C50 2

    C50 3

    C50 4

    C50 5

    C50 6

    0

    0,05

    0,1

    0,15

    0,2

    0,25

    0,3

    0,35

    0,4

    0,45

    0,5

    125 250 500 1000 2000 4000 8000 16000

    Frequency [Hz.]

    Lateral Fraction (LF)

    LF 1

    LF 2

    LF 3

    LF 9

    LF 11

    LF 13

    FIGURE 9C50 RESULTS WITH THE SOURCE PLACED ON THE STAGE.

    FIGURE 10 LATERAL FRACTION RESULTS FOR SOME R EPRESENTATIVE POSITIONS.

    -7

    -5

    -3

    -1

    1

    3

    5

    7

    9

    11

    13

    15

    125 250 500 1000 2000 4000 8000 16000

    C50

    C50 9

    C50 10

    C50 11

    C50 12

    C50 13

    C50 14

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    TABLE 4C50 SPEECH AVERAGE AND C80 MUSIC AVERAGE RESULTS.

    SOURCE ON STAGE SOURCE ON PIT

    POSITION C50 "Speech Average" [dB] C80 "Music Average" [dB] C80 "Music Average" [dB]

    1 -0,44 1,72 -1,872 -3,58 0,28 -3,56

    3 0,93 5,43 -1,53

    4 1,70 3,53 -0,69

    5 0,28 3,01 -2,35

    6 0,02 3,98 -0,92

    9 -1,91 3,11 -0,35

    10 1,22 2,81 2,01

    11 -2,38 2,96 0,69

    12 1,49 2,56 1,44

    13 -2,41 2,65 1,93

    14 3,49 5,40 2,93

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    Gmid (1 IACCe3)

    TABLE 5GMID MEASUREMENT RESULTS. TABLE 6(1-IACCE3) RESULTS.

    Source on stage

    POSITION Gmid

    1 1,20

    2 -0,37

    3 -2,00

    4 0,82

    5 -0,47

    6 -3,19

    9 -0,44

    10 -1,74

    11 -1,25

    12 -2,65

    13 -1,65

    14 -0,10

    Source on pit

    POSITION Gmid

    1 -0,22

    2 -1,15

    3 -5,59

    4 -0,30

    5 -0,32

    6 -4,96

    9 -0,05

    10 -1,35

    11 -0,58

    12 -2,77

    13 -0,02

    14 -0,23

    Source on stage

    POSITION 1 - IACCe3

    1 0,46

    2 0,51

    3 0,60

    4 0,62

    5 0,65

    6 0,70

    9 0,66

    10 0,51

    11 0,72

    12 0,62

    13 0,68

    14 0,42

    Source on pit

    POSITION 1 - IACCe3

    1 0,44

    2 0,71

    3 0,76

    4 0,70

    5 0,72

    6 0,79

    9 0,65

    10 0,58

    11 0,67

    12 0,67

    13 0,65

    14 0,40

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    6. RESULTS ANALYSIS.6.1.Background Noise.

    Background noise in the hall vary between 62,1

    dBZ and 65 dBZ. And from 33,7 dBA to 42,7

    dBA. The difference between the values in dBZand dBA vary between 19,4 and 31,1.

    This represents a significant difference between de

    weightings and it can be caused due to vibration

    problems in the hall.

    6.2.Reverberation Time.RT and EDT decrease as the frequency is

    increased. The highest values are observed at 125

    Hz. . 2,24 seconds for the T30 and 1,46 seconds

    for the EDT.

    Table 3 (right) shows some parameters calculated

    from the ones mentioned above. This was made to

    compare those parameters with the preferred

    values proposed by Beranek for this kind of halls.

    RTmid has a value of 1,7 sec. with an empty hall.

    Beranek [1] recommends:

    Concert hall: 1,8RTmid 2 sec.

    Opera house: 0,7RTmid1,2 sec.

    These values are calculated for occupied halls.

    The RTmid of La Platas Argentinean Theater will

    probably decrease with an occupied condition.

    It can be said that this hall has a reverberation

    time placed between the recommendations given

    for opera houses and concert halls. Probably due

    to the fact that the usage of the Theater includes

    orchestra concerts.

    The EDT which describes better the liveness of

    the hall has a value of 1,3 seconds. While Beranek

    recommends a value of EDT similar to the RTmid

    for concert halls.

    6.3.Bass Ratio (BR) & Brightness (Br).The BR for this hall has a value of 1,2. While the

    Br has a value of 0,77.

    BR fulfills the recommendations for a concert

    hall, while the Br is slightly lower than therecommended values.

    6.4.Stage Parameters.There are calculated values for the different

    positions of the source during the measurement. In

    the case of the source placed on the stage the

    STearly is -20,21 dB while de STlate is -18,62 dB.

    For the pit source position the STIearly is -10,50

    dB and the STIlate is -10,16 dB.

    All the values are into the typical range for the

    stage parameters.

    6.5.C80.C80 values for all the measurement positions are

    presented from 125 Hz. to 16 kHz. but the C80

    music average was evaluated. When the source

    is placed on the stage the Music Average has

    values between 0,28 and 5,43 dB.

    When it is on the pit the values are between -3,56and 2,93 dB .

    The values are clearly lower when the source is

    placed in the pit. Analyzing these results (source

    in the pit) it can be seen that the C80 music

    average on the positions placed on the ground

    floor and the central position on the 1st floor give

    positive values, while the rest of the values are

    negative.

    Ground floor measurements and central position

    on the 1st

    floor with the source on the pit are theonly values that fulfill the recommendations given

    by Beranek [1] for this parameter.

    6.6.C50.C50 values for all the measurement positions are

    presented from 125 Hz. to 16 kHz. but the C50

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    speech average was evaluated. Only the results

    with the source placed on the stage are considered.

    The values goes from -3,58 to 3,49 dB. .

    The higher value is surprisingly placed on of the

    furthest position from the source (Position 14 onthe side box). It can be noticed that there are C50

    speech average positive values in the side boxes

    measurements while in the center positions of the

    1st, 2nd and 5th floor the values are negative.

    6.7.Lateral Fraction (LF).Lateral fraction values calculated for some

    representative positions in the hall (the ones

    placed near the center).

    Values from 125 Hz. to 16 kHz. produce results

    that vary between 0,04 to 0,5.

    6.8.Sound Strength (G).The values given for the Sound Strength (G) are

    measured with the source on the pit and on the

    stage. In both situations the values calculated are

    lower than the ones recommended by Beranek [1]

    for concert halls (4Gmid5,5 dB).

    This is probably because the theater was not

    designed as a concert hall.

    6.9.IACC.The (1-IACCe3) parameter was calculated in all

    the positions with the source on the pit and the

    stage. Taking Beraneks recommendations for this

    parameter the hall has values that go from

    acceptable to excellent category.

    The best positions are: Position 9 (with source on

    the stage and pit), position 5 (source on the stage)

    and positions 11,12 and 13 with the source on thepit.

    7. CONCLUSIONS.Background noise level in the theater is high for

    this kind of applications. But it is important to

    consider that during the measurement there were

    people working on the stage.

    The difference between the background noise

    measured in dBA and dBZ is considerable

    (between 19,4 and 31,1 dB). These results show

    that the Theater might have vibration issues on the

    hall.

    The hall has a classical opera design. The RTmid

    is 0,5 seconds higher than the maximum

    recommended by Beranek [1] for theaters. And

    0,1 seconds lower than the minimum

    recommended for concert halls. This shows that

    despite being designed as an opera house the hallhas a long RT for this usage.

    It is important to keep in mind that the

    recommended values for this parameter were

    calculated for occupied halls, so the RTmid for

    this Theater would be much closer to the

    recommended values for these halls than the

    measured one. Considering that this measurement

    was performed under unoccupied condition.

    As is usual on this type of halls, there are longer

    RT at low frequencies and shorter at highfrequencies.

    The hall it is also used as a concert hall, so this

    last feature might help achieving better results for

    this kind of usage.

    BR and Br values show acceptable results. Br is

    0,1 points lower than the minimum recommended

    value (Br 0,87 with occupied hall). If the

    measurement would have been performed with an

    occupied hall this value would probably be even

    lower than it was. It is important to consider thatthese parameters are recommendations for concert

    halls.

    Stage parameters are between the typical range of

    values on the stage and the pit.

    Results show that the recommended values of C80

    music average are only achieved with the source

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    on the pit only on the ground floor and the central

    position measured on the 1st floor.

    C50 speech average results are below the

    recommended ones (C50 music average> 2dB,

    occupied hall). The values obtained where

    measured with an empty room and will probablyget closer to the recommended ones in an

    occupied hall situation.

    Kuttruff [4] proposes to average Lateral Fraction

    values from 125 Hz. to 1000 Hz. due to the fact

    that the low and mid-frequency components

    contribute most with the sensation of

    spaciousness.

    Recommended values by Kuttruff [4], for large

    halls vary from 0 to about 0.5. That

    recommendation is achieved in all the measuredpositions.

    (1-IACCe3) values are between the

    recommendations given by Beranek [1]. On one

    hand, the lowest values are founded on one the

    nearest position from the stage (Position 1) and on

    the side box seat position (Position 14). On the

    other hand the positions where the higher values

    of (1-IACCe3) are founded (Positions 3 and 6) are

    the positions were the lower values of Gmid are

    obtained.

    This situation can be caused due to the fact that

    both microphone positions (3 & 6) were placed

    under the 1st floor balcony. Gmid on these

    positions can be improved with electroacoustic

    support.

    8. BIBLIOGRAPHY.

    [1]Beranek, L. L. (2005 (2nd. Ed)). Concert

    Halls and Opera Houses: Music,

    Acoustics and Architecture. Springer.

    [2]Everest, F. A. (2001). The Master

    Handbook of Acoustics. McGraw-Hill.

    [3]Isbert, A. C. (1998). Diseo acstico de

    espacios arquitectnicos. Barcelona,

    Espaa: Edicions UPC.

    [4]Kuttruff, H. (2009 (5th. Ed)). Room

    Acoustics. New York: Spoon Press.

    [5]Gade. (1989). Acoustical Conditions

    Preferred for Ensembles.Acustica 69

    1437-1442.

    [6]al., Marshall. et. (n.d.). Acoustical

    Conditions Preferred for Ensembles.

    JASA 64 1437-1442.

    [7]Barron, M. (2010 (second edition)).

    Auditorium Acoustics andArchitectural Design. New York: Spon

    Press.

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    APPENDIX.

    TABLE 7BERANEKS RECOMMENDED VALUES FOR ACOUSTICAL PARAMETERS ASSOCIATED TO A CONCERT HALL.[3]

    TABLE 6BERANEKS RECOMMENDED VALUES FOR ACOUSTICAL PARAMETERS ASSOCIATED TO A CONCERT HALL.[3]

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    TABLE 8ACOUSTICAL PARAMETERS RECOMMENDED VALUES BY BERANEK ASSOCIATED TO A THEATER.[3]

    TABLE 9(1-IACCE3) RECOMMENDED VALUES BY BERANEK.[3]