A 2.2 Calculo de Modos

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    LINKWITZ LAB

    LINKWITZ LAB 21 October 2000

    modified march 2002 Pedro R. Vallettamodified february 2004 Pablo R. Ciccarella

    L = 5.50 m 5.50 m Acceptable room if: 8 0.688 y

    Room dimensions in meters W = 4.20 m 4.20 m 1.1*(W/H) < (L/H) < 4.5*(W/H)-4 6 0.700 x

    H = 4.00 m 4.00 m 1.2 1.4 0.7 10 0.400 z

    (R. Walker, BBC, 1996)

    Floor area A = 23 m^2 23 m^2Volume V = 92 m^3 92 m^3

    Surface area S = 124 m^2 124 m^2 Instrucciones

    Edge length Le = 55 m 55 m Reemplazar los datos en amarillo y negrita con

    los valores que se desean.Below frequency fm = 200 Hz Luego clickear en SORT MODES abajo

    Total number of modes N = 113 Graficos 1) Frecuencias crecientes

    Avg. mode spacing df = 0.9 Hz at fm 2) Separacin Modal

    3) Densidad ModalEstimated reverberation time T60 = 271 ms Suggested 292 ms

    Resonance bandwidth bw = 8.1 Hz (R. Walker, BBC, 1998)

    Rise time Trise = 87 ms

    Schroeder frequency fs = 103 Hz

    Monopole reverb distance Rm = 1.04 m

    Dipole reverb distance Rd = 1.80 m

    Avg wall absorption a = 45%

    Estimated avg wall absorption a = 41% Speed of sound c = 344 m/s

    Reverberation time T60 = 297 ms 344 m/s

    Re-sort table below by ascending frequency

    after room dimensions have been changedModes in rectangular room Mode # Mode spacing

    l w h Hz L W H Hz Hz

    1 0 1 0 41 1 1 0 0 31.3 02 0 2 0 82 2 0 1 0 41.0 9.7 0

    3 0 3 0 123 3 0 0 1 43.0 2.0 0

    4 0 4 0 164 4 1 1 0 51.5 8.5 63

    5 0 5 0 205 5 1 0 1 53.2 1.6 125

    6 0 0 1 43 6 0 1 1 59.4 6.2 1257 0 1 1 59 7 2 0 0 62.5 3.2 125

    8 0 2 1 93 8 1 1 1 67.1 4.6 125

    Sorted by Frequency

    Estudio Grabacion CETeAr

    SORT MODES

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    LINKWITZ LAB

    36 1 0 0 31 36 0 3 1 130.2 1.2 0

    37 1 1 0 52 37 4 1 0 131.6 1.5 0

    38 1 2 0 88 38 3 2 1 131.8 0.1 0

    39 1 3 0 127 39 4 0 1 132.3 0.5 0

    40 1 4 0 167 40 1 0 3 132.7 0.5 0

    41 1 5 0 207 41 3 1 2 133.7 1.0 0

    42 1 0 1 53 42 1 3 1 133.9 0.2 0

    43 1 1 1 67 43 2 2 2 134.2 0.4 0

    44 1 2 1 98 44 0 1 3 135.3 1.1 0

    45 1 3 1 134 45 2 3 0 137.9 2.5 0

    46 1 4 1 172 46 4 1 1 138.5 0.6 0

    47 1 5 1 212 47 1 1 3 138.9 0.4 0

    48 1 0 2 92 48 2 0 3 143.4 4.5 0

    49 1 1 2 100 49 2 3 1 144.4 1.0 050 1 2 2 123 50 2 1 3 149.1 4.7 0

    51 1 3 2 153 51 4 2 0 149.5 0.4 0

    52 1 4 2 188 52 0 3 2 150.0 0.4 0

    53 1 5 2 224 53 3 2 2 151.3 1.4 0

    54 1 0 3 133 54 4 0 2 151.8 0.5 0

    55 1 1 3 139 55 0 2 3 152.8 1.0 0

    56 1 2 3 156 56 1 3 2 153.2 0.4 0

    57 1 3 3 181 57 3 3 0 154.6 1.4 0

    58 1 4 3 211 58 4 2 1 155.6 1.0 0

    59 1 5 3 244 59 1 2 3 156.0 0.4 0

    60 1 0 4 175 60 5 0 0 156.4 0.4 061 1 1 4 180 61 4 1 2 157.2 0.9 0

    62 1 2 4 193 62 3 0 3 159.5 2.3 0

    63 1 3 4 214 63 3 3 1 160.5 0.9 0

    64 1 4 4 240 64 5 1 0 161.6 1.2 0

    65 1 5 4 269 65 5 0 1 162.2 0.5 0

    66 1 0 5 217 66 2 3 2 162.5 0.3 0

    67 1 1 5 221 67 0 4 0 163.8 1.3 068 1 2 5 232 68 3 1 3 164.7 0.9 0

    69 1 3 5 250 69 2 2 3 165.1 0.4 0

    70 1 4 5 272 70 1 4 0 166.8 1.7 0

    71 1 5 5 299 71 5 1 1 167.3 0.5 072 2 0 0 63 72 0 4 1 169.4 2.1 0

    73 2 1 0 75 73 0 0 4 172.0 2.6 074 2 2 0 103 74 1 4 1 172.2 0.2 0

    75 2 3 0 138 75 4 2 2 172.5 0.3 0

    76 2 4 0 175 76 1 0 4 174.8 2.3 0

    77 2 5 0 214 77 4 3 0 175.3 0.5 0

    78 2 0 1 76 78 2 4 0 175 3 0 0 0

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    106 2 4 5 277 106 4 2 3 197.5 1.1 250

    107 2 5 5 303 107 5 3 0 198.9 1.4 250

    108 3 0 0 94 108 3 1 4 200.2 1.3 250

    109 3 1 0 102 109 2 2 4 200.5 0.4 250

    110 3 2 0 125 110 3 3 3 201.3 0.8 250

    111 3 3 0 155 111 5 0 3 202.7 1.4 250

    112 3 4 0 189 112 5 3 1 203.5 0.7 250

    113 3 5 0 225 113 0 5 0 204.8 1.3 250

    114 3 0 1 103 114 4 4 0 206.1 1.3 250

    115 3 1 1 111 115 5 1 3 206.8 0.7 0

    116 3 2 1 132 116 1 5 0 207.1 0.3 0

    117 3 3 1 160 117 3 4 2 207.4 0.3 0

    118 3 4 1 194 118 0 4 3 208.5 1.1 0

    119 3 5 1 229 119 0 5 1 209.2 0.7 0120 3 0 2 127 120 4 4 1 210.5 1.3 0

    121 3 1 2 134 121 1 4 3 210.8 0.3 0

    122 3 2 2 151 122 0 3 4 211.4 0.5 0

    123 3 3 2 177 123 1 5 1 211.6 0.2 0

    124 3 4 2 207 124 3 2 4 212.4 0.8 0

    125 3 5 2 241 125 4 0 4 212.7 0.3 0

    126 3 0 3 160 126 1 3 4 213.7 1.0 0

    127 3 1 3 165 127 2 5 0 214.1 0.4 0

    128 3 2 3 179 128 0 0 5 215.0 0.9 0

    129 3 3 3 201 129 4 1 4 216.6 1.6 0

    130 3 4 3 229 130 5 3 2 216.7 0.1 0131 3 5 3 260 131 1 0 5 217.3 0.6 0

    132 3 0 4 196 132 4 3 3 217.7 0.4 0

    133 3 1 4 200 133 2 4 3 217.7 0.0 0

    134 3 2 4 212 134 2 5 1 218.4 0.7 0

    135 3 3 4 231 135 5 2 3 218.6 0.3 0

    136 3 4 4 255 136 0 1 5 218.9 0.2 0

    137 3 5 4 283 137 2 3 4 220.4 1.6 0

    138 3 0 5 235 138 1 1 5 221.1 0.7 0

    139 3 1 5 238 139 0 5 2 222.1 1.0 0

    140 3 2 5 248 140 4 4 2 223.3 1.2 0

    141 3 3 5 265 141 2 0 5 223.9 0.6 0142 3 4 5 286 142 1 5 2 224.3 0.4 0

    143 3 5 5 311 143 3 5 0 225.2 1.0 0

    144 4 0 0 125 144 5 4 0 226.5 1.2 0

    145 4 1 0 132 145 2 1 5 227.6 1.2 0

    146 4 2 0 150 146 4 2 4 227.9 0.3 0

    147 4 3 0 175 147 3 4 3 228.6 0.7 0

    148 4 4 0 206 148 3 5 1 229 3 0 7 0

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    176 4 2 5 262 176 2 5 3 250.0 0.4 0

    177 4 3 5 277 177 4 1 5 252.1 2.1 0

    178 4 4 5 298 178 4 5 2 254.9 2.8 0

    179 4 5 5 322 179 3 4 4 255.4 0.5 0

    180 5 0 0 156 180 2 3 5 255.4 0.0 0

    181 5 1 0 162 181 5 5 0 257.6 2.2 0

    182 5 2 0 177 182 3 5 3 259.6 1.9 0

    183 5 3 0 199 183 5 4 3 260.6 1.1 0

    184 5 4 0 226 184 5 5 1 261.2 0.6 0

    185 5 5 0 258 185 4 2 5 261.9 0.7 0

    186 5 0 1 162 186 5 3 4 262.9 1.0 0

    187 5 1 1 167 187 3 3 5 264.8 1.9 0

    188 5 2 1 182 188 5 0 5 265.8 1.0 0

    189 5 3 1 203 189 0 5 4 267.4 1.6 0190 5 4 1 231 190 4 4 4 268.4 1.0 0

    191 5 5 1 261 191 5 1 5 269.0 0.5 0

    192 5 0 2 178 192 1 5 4 269.2 0.3 0

    193 5 1 2 183 193 0 4 5 270.3 1.1 0

    194 5 2 2 196 194 5 5 2 271.6 1.3 0

    195 5 3 2 217 195 1 4 5 272.1 0.5 0

    196 5 4 2 242 196 4 5 3 272.4 0.3 0

    197 5 5 2 272 197 2 5 4 274.6 2.2 0

    198 5 0 3 203 198 4 3 5 277.4 2.8 0

    199 5 1 3 207 199 2 4 5 277.4 0.0 0

    200 5 2 3 219 200 5 2 5 278.2 0.7 0201 5 3 3 237 201 3 5 4 283.4 5.2 0

    202 5 4 3 261 202 5 4 4 284.4 1.0 0

    203 5 5 3 288 203 3 4 5 286.1 1.7 0

    204 5 0 4 232 204 5 5 3 288.1 2.0 0

    205 5 1 4 236 205 5 3 5 292.9 4.7 0

    206 5 2 4 246 206 4 5 4 295.2 2.4 0

    207 5 3 4 263 207 0 5 5 296.9 1.7 0

    208 5 4 4 284 208 4 4 5 297.8 0.9 0

    209 5 5 4 310 209 1 5 5 298.5 0.7 0

    210 5 0 5 266 210 2 5 5 303.4 4.9 0

    211 5 1 5 269 211 5 5 4 309.8 6.4 0212 5 2 5 278 212 3 5 5 311.4 1.6 0

    213 5 3 5 293 213 5 4 5 312.3 0.9 0

    214 5 4 5 312 214 4 5 5 322.2 9.9 0

    215 5 5 5 336 215 5 5 5 335.6 13.4 0

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    Mode frequencies

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    1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76

    Frequencyin

    Hz

    Modes in ascending frequency

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    Mode spacing

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    Modespacingin

    Hz

    Eigenfrequencyin

    Hz

    Mode number

    Room Modes

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    Lim Inf 0.7 Lim Sup

    Oct FreqHz Freq1/6 Oct Cant.Modos

    1/6

    octava 0.1

    1/6

    octava 10

    12 0 11 13 0

    14 0 13 15 0

    16 0 15 17 0

    18 0 17 19 0

    20 0 19 21 0

    22 0 21 23 0

    25 0 23 26 0

    28 0 26 30 032 1 30 34 1

    36 0 34 38 -1

    40 1 38 41 1

    43 1 41 45 0

    48 1 45 52 0

    56 1 52 59 0

    63 2 59 67 1

    71 1 67 74 -1

    78 3 74 82 2

    85 3 82 89 0

    96 7 88 103 4

    110 6 103 118 -1

    125 13 118 133 7

    140 9 133 147 -4

    155 15 147 162 6

    169 17 162 177 2

    192 32 177 206 15221 42 206 236 10

    250 32 236 265 -10

    280 18 265 295 -14

    309 9 295 324 -9

    339 1 324 354 -8

    1254

    5 250

    633

    322

    # Modos por octavas

    161

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    0 0 0 0 0 0 0 01

    01 1 1 1

    21

    3 3

    76

    13

    9

    15

    17

    32

    42

    32

    18

    9

    10 0 0 0 0 0 0

    0

    5

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    45

    #Modos

    Densidad Modal

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    Estudio Grabacion CETeAr Preparado por

    Rosario - R. Argentina

    Datos fsicos de la Sala Dimensiones fsicas calculadas

    L = 5.50 m Superficie de planta (A) = 23 m2

    Dimensiones de la Sala W = 4.20 m Volumen (V) = 92 m3

    H = 4.00 m Superficie Total (S) = 124 m2

    Edge length Le = 55 m

    Pre-anlisis Modal

    Below frequency fm = 200 Hz Freq [Hz] # Modos

    Total number of modes N = 113 16 0

    Avg. mode spacing df = 0.9 Hz a fm 32 0

    63 1

    125 7

    250 32

    500 0

    Tiempo de Reverberacion Deseado

    Estimated reverberation time T60 = 271 ms Sugerido 292 ms

    Resonance bandwidth bw = 8.12 Hz (R. Walker, BBC, 1998)

    Rise time Trise = 86.72 ms

    Schroeder frequency fs = 102.90 Hz

    Monopole reverb distance Rm = 1.04 m

    Dipole reverb distance Rd = 1.80 m

    Avg wall absorption a = 45%

    Tiempo de Reverberacion Actual / RealEstimated avg wall absorption a = 41%

    Reverberation time T60 = 297 ms

    Datos Varios

    Velocidad del Sonido usada = 344 m/s

    Ingeniera de Sonido

    # Modos por octavas