Room Mode Calculator Metric

Inches Feet All ModesLength = 263.4 Lx = 21.9 nx ny nz f TypeWidth = 185.4 Ly = 15.5 1 0 0 25.7 Axial

Height = 104.3 Lz = 8.7 0 1 0 36.6 AxialCm c/2 = 565 1 1 0 44.7 Tangential

Length = 669 2 0 0 51.5 AxialWidth = 471 V cu ft= 2949 2 1 0 63.1 Tangential

Height = 265 V cu m= 83.50 0 0 1 65.0 Axial1 0 1 69.9 Tangential

F/B walls 205 Sq. meters 0 2 0 73.1 AxialCeiling/Floor 31.5099 Sq. meters 0 1 1 74.6 Tangential

Side Walls 17.7285 Sq. meters 3 0 0 77.2 AxialMix position 254.22 cm from front wall 1 2 0 77.5 Tangential

1 1 1 78.9 ObliqueHeight Width Length 2 0 1 82.9 Tangential

Ratio: 1 1.7773585 2.5245283 3 1 0 85.4 Tangential2 2 0 89.4 Tangential

Instructions: 2 1 1 90.6 Oblique1. Enter Dimensions in Yellow Area (centimeters). 0 2 1 97.8 Tangential2. Press Ctrl+Shift+S to Sort. 3 0 1 100.9 Tangential3. Press Ctrl+Shift+C to Copy Mode Strength Data. 1 2 1 101.2 Oblique

4 0 0 103.0 AxialAnalysis Note for Bonello Graph: 3 2 0 106.4 Tangential

3 1 1 107.3 Oblique4 1 0 109.3 Tangential0 3 0 109.7 Axial2 2 1 110.5 Oblique1 3 0 112.7 Tangential2 3 0 121.2 Tangential4 0 1 121.8 Tangential3 2 1 124.6 Oblique4 2 0 126.3 Tangential4 1 1 127.1 Oblique0 3 1 127.5 Tangential5 0 0 128.7 Axial0 0 2 130.0 Axial1 3 1 130.1 Oblique1 0 2 132.5 Tangential5 1 0 133.8 Tangential3 3 0 134.1 Tangential0 1 2 135.0 Tangential1 1 2 137.4 Oblique2 3 1 137.5 Oblique2 0 2 139.8 Tangential4 2 1 142.0 Oblique

Other Notes: 5 0 1 144.2 Tangential2 1 2 144.5 Oblique0 4 0 146.3 Axial

5 2 0 148.0 Tangential |------- Wave Region ------|------ ------|------1 4 0 148.5 Tangential F¹ F² F³5 1 1 148.7 Oblique 25.70 131.02 524.083 3 1 149.1 Oblique LF cutoff0 2 2 149.1 Tangential4 3 0 150.4 Tangential RT603 0 2 151.2 Tangential 0.4 Enter decay response of room here1 2 2 151.3 Oblique6 0 0 154.5 Axial2 4 0 155.0 Tangential3 1 2 155.5 Oblique2 2 2 157.8 Oblique6 1 0 158.7 Tangential0 4 1 160.0 Tangential5 2 1 161.7 Oblique1 4 1 162.1 Oblique4 3 1 163.9 Oblique3 4 0 165.4 Tangential4 0 2 165.8 Tangential6 0 1 167.6 Tangential3 2 2 167.9 Oblique2 4 1 168.1 Oblique5 3 0 169.1 Tangential4 1 2 169.8 Oblique0 3 2 170.1 Tangential6 2 0 170.9 Tangential6 1 1 171.5 Oblique1 3 2 172.0 Oblique2 3 2 177.7 Oblique3 4 1 177.7 Oblique4 4 0 178.9 Tangential7 0 0 180.2 Axial5 3 1 181.2 Oblique

If the "Ideal" bar (red) in any 1/3 Octave exceeds the "Actual" bar (blue) in the same 1/3 octave, the room is "non-ideal". If this is the case, alternate room dimensions are usually the best course of action. Since in many cases altering the room dimensions is not doable, bass traps should be considered. Consider each of the following when recommending bass traps:

(a) For tangential modes above 80 Hz and axial modes above 100 Hz, corner traps should be used in each vertical corner as much as possible.

(b) For axial modes below 100 Hz, either broadband absorbers, properly designed Helmholtz resonators or properly designed diaphragmatic absorbers should be used, in general, at the center of the wall*.

(c) For tangential modes below 80 Hz, broadband traps, Helmholtz or diaphragmatic absorbers can also be used, but placement is dependent on the distribution of the mode.*The important wall for treatment is the opposite wall to the wall indicated by the mode number. For example, an absorber for the (x,0,0) mode should be most effective when placed at the center of the "y" wall.

Modes that coincide (I.e., a "2" or more is indicated on the Relative Mode Strength graph at the modal frequency) are usually only considered problematic if the 1/3-octave band in which the frequency falls has a total modal density equal to or less than 5.

Transition/Diffusive Region

If the "Ideal" bar does exceed the "Actual" bar in any given 1/3-octave band, the problem modes will usually be those occurring in the 1/3 octave bands that are lower than the violating band. I.e., if the "Ideal" bar at 100 Hz exceeds the "Actual" bar, the modes at 80 Hz and below are likely to give very perceptible problems in the room.

20 40 60 80 100 120 140 160 180 200 220 2400

1

2

Modes

Frequency (Hz)

Rel

ativ

e M

ode

Stre

ngth

1 2 3 4 5 6 7 8 9 10 11 12 1305

101520253035404550556065707580859095

100105110115

Bonello Distribution

Actual Ideal

1/3 Octave Center Frequency (Hz)

Num

ber o

f Mod

es

4 2 2 181.2 Oblique0 5 0 182.8 Axial6 2 1 182.8 Oblique5 0 2 182.9 Tangential7 1 0 183.9 Tangential1 5 0 184.6 Tangential5 1 2 186.5 Oblique3 3 2 186.8 Oblique6 3 0 189.4 Tangential2 5 0 189.9 Tangential4 4 1 190.3 Oblique7 0 1 191.6 Tangential0 5 1 194.0 Tangential7 2 0 194.5 Tangential5 4 0 194.8 Tangential0 0 3 195.0 Axial7 1 1 195.0 Oblique0 4 2 195.7 Tangential1 5 1 195.7 Oblique1 0 3 196.6 Tangential5 2 2 197.0 Oblique1 4 2 197.3 Oblique0 1 3 198.4 Tangential3 5 0 198.5 Tangential4 3 2 198.8 Oblique1 1 3 200.0 Oblique6 3 1 200.3 Oblique2 5 1 200.7 Oblique2 0 3 201.6 Tangential6 0 2 201.9 Tangential2 4 2 202.3 Oblique2 1 3 204.9 Oblique7 2 1 205.0 Oblique6 1 2 205.1 Oblique5 4 1 205.4 Oblique8 0 0 205.9 Axial0 2 3 208.2 Tangential3 5 1 208.8 Oblique8 1 0 209.2 Tangential3 0 3 209.7 Tangential1 2 3 209.8 Oblique4 5 0 209.8 Tangential3 4 2 210.3 Oblique7 3 0 211.0 Tangential6 4 0 212.7 Tangential3 1 3 212.9 Oblique5 3 2 213.3 Oblique2 2 3 214.5 Oblique6 2 2 214.7 Oblique8 0 1 215.9 Tangential8 2 0 218.5 Tangential8 1 1 219.0 Oblique0 6 0 219.4 Axial4 5 1 219.7 Oblique4 0 3 220.5 Tangential7 3 1 220.7 Oblique1 6 0 220.9 Tangential4 4 2 221.1 Oblique3 2 3 222.1 Oblique7 0 2 222.2 Tangential6 4 1 222.4 Oblique4 1 3 223.5 Oblique5 5 0 223.6 Tangential0 3 3 223.7 Tangential0 5 2 224.3 Tangential7 1 2 225.2 Oblique1 3 3 225.2 Oblique2 6 0 225.3 Tangential1 5 2 225.8 Oblique8 2 1 228.0 Oblique0 6 1 228.8 Tangential2 3 3 229.5 Oblique6 3 2 229.7 Oblique2 5 2 230.1 Oblique1 6 1 230.2 Oblique9 0 0 231.7 Axial7 4 0 232.1 Tangential4 2 3 232.3 Oblique3 6 0 232.6 Tangential5 5 1 232.8 Oblique8 3 0 233.3 Tangential5 0 3 233.6 Tangential

7 2 2 233.9 Oblique5 4 2 234.2 Oblique2 6 1 234.5 Oblique9 1 0 234.5 Tangential5 1 3 236.5 Oblique3 3 3 236.7 Oblique3 5 2 237.2 Oblique6 5 0 239.3 Tangential9 0 1 240.6 Tangential7 4 1 241.0 Oblique3 6 1 241.5 Oblique8 3 1 242.2 Oblique4 6 0 242.3 Tangential9 2 0 242.9 Tangential9 1 1 243.4 Oblique8 0 2 243.5 Tangential0 4 3 243.7 Tangential5 2 3 244.8 Oblique1 4 3 245.1 Oblique8 1 2 246.2 Oblique4 3 3 246.3 Oblique4 5 2 246.8 Oblique7 3 2 247.8 Oblique6 5 1 248.0 Oblique6 0 3 248.7 Tangential2 4 3 249.1 Oblique6 4 2 249.3 Oblique4 6 1 250.9 Oblique6 1 3 251.4 Oblique9 2 1 251.5 Oblique8 4 0 252.6 Tangential8 2 2 254.3 Oblique5 6 0 254.3 Tangential0 6 2 255.0 Tangential3 4 3 255.7 Oblique0 7 0 255.9 Axial1 6 2 256.3 Oblique9 3 0 256.3 Tangential7 5 0 256.7 Tangential1 7 0 257.2 Tangential5 3 3 258.1 Oblique5 5 2 258.6 Oblique6 2 3 259.2 Oblique0 0 4 259.9 Axial2 6 2 260.1 Oblique8 4 1 260.8 Oblique2 7 0 261.1 Tangential1 0 4 261.2 Tangential0 1 4 262.5 Tangential5 6 1 262.5 Oblique1 1 4 263.8 Oblique0 7 1 264.1 Tangential9 3 1 264.4 Oblique4 4 3 264.6 Oblique7 5 1 264.8 Oblique2 0 4 265.0 Tangential1 7 1 265.3 Oblique7 0 3 265.5 Tangential9 0 2 265.6 Tangential7 4 2 266.0 Oblique3 6 2 266.4 Oblique8 3 2 267.1 Oblique0 5 3 267.3 Tangential3 7 0 267.3 Tangential2 1 4 267.5 Oblique7 1 3 268.0 Oblique9 1 2 268.1 Oblique6 6 0 268.3 Tangential1 5 3 268.5 Oblique2 7 1 269.0 Oblique0 2 4 270.0 Tangential3 0 4 271.2 Tangential1 2 4 271.3 Oblique6 3 3 271.8 Oblique2 5 3 272.2 Oblique6 5 2 272.3 Oblique3 1 4 273.6 Oblique9 4 0 274.0 Tangential2 2 4 274.9 Oblique4 6 2 275.0 Oblique3 7 1 275.1 Oblique7 2 3 275.4 Oblique

8 5 0 275.4 Tangential9 2 2 275.5 Oblique5 4 3 275.6 Oblique4 7 0 275.9 Tangential6 6 1 276.1 Oblique3 5 3 278.2 Oblique4 0 4 279.6 Tangential3 2 4 280.9 Oblique9 4 1 281.6 Oblique4 1 4 282.0 Oblique0 3 4 282.1 Tangential8 5 1 282.9 Oblique1 3 4 283.3 Oblique4 7 1 283.4 Oblique8 0 3 283.6 Tangential7 6 0 283.9 Tangential8 4 2 284.1 Oblique5 6 2 285.6 Oblique8 1 3 285.9 Oblique4 5 3 286.4 Oblique5 7 0 286.5 Tangential2 3 4 286.8 Oblique0 7 2 287.1 Tangential7 3 3 287.2 Oblique9 3 2 287.4 Oblique7 5 2 287.7 Oblique1 7 2 288.2 Oblique6 4 3 288.5 Oblique4 2 4 289.0 Oblique5 0 4 290.1 Tangential7 6 1 291.2 Oblique2 7 2 291.6 Oblique5 1 4 292.4 Oblique0 8 0 292.5 Axial3 3 4 292.5 Oblique8 2 3 292.9 Oblique0 6 3 293.5 Tangential1 8 0 293.6 Tangential5 7 1 293.8 Oblique1 6 3 294.6 Oblique9 5 0 295.1 Tangential5 5 3 296.6 Oblique2 8 0 297.0 Tangential3 7 2 297.3 Oblique2 6 3 298.0 Oblique6 6 2 298.1 Oblique0 4 4 298.3 Tangential6 7 0 298.9 Tangential5 2 4 299.1 Oblique1 4 4 299.4 Oblique0 8 1 299.6 Tangential4 3 4 300.3 Oblique1 8 1 300.7 Oblique8 6 0 300.9 Tangential9 5 1 302.2 Oblique6 0 4 302.4 Tangential3 8 0 302.5 Tangential2 4 4 302.7 Oblique9 0 3 302.8 Tangential7 4 3 303.1 Oblique9 4 2 303.2 Oblique3 6 3 303.5 Oblique2 8 1 304.0 Oblique8 3 3 304.1 Oblique8 5 2 304.5 Oblique6 1 4 304.6 Oblique4 7 2 305.0 Oblique9 1 3 305.0 Oblique6 7 1 305.9 Oblique8 6 1 307.8 Oblique3 4 4 308.1 Oblique6 5 3 308.7 Oblique3 8 1 309.4 Oblique4 8 0 310.1 Tangential5 3 4 310.1 Oblique4 6 3 311.0 Oblique6 2 4 311.1 Oblique9 2 3 311.5 Oblique7 6 2 312.2 Oblique7 7 0 313.0 Tangential5 7 2 314.6 Oblique4 4 4 315.5 Oblique

7 0 4 316.3 Tangential4 8 1 316.8 Oblique0 5 4 317.8 Tangential7 1 4 318.4 Oblique1 5 4 318.8 Oblique9 6 0 319.1 Tangential8 4 3 319.1 Oblique5 8 0 319.6 Tangential7 7 1 319.7 Oblique0 8 2 320.1 Tangential5 6 3 320.5 Oblique1 8 2 321.1 Oblique6 3 4 321.6 Oblique0 7 3 321.7 Tangential2 5 4 321.9 Oblique9 3 3 322.0 Oblique7 5 3 322.3 Oblique9 5 2 322.5 Oblique1 7 3 322.8 Oblique2 8 2 324.2 Oblique7 2 4 324.6 Oblique5 4 4 324.8 Oblique0 0 5 324.9 Axial9 6 1 325.6 Oblique2 7 3 325.8 Oblique1 0 5 325.9 Tangential6 7 2 326.0 Oblique5 8 1 326.1 Oblique0 1 5 327.0 Tangential3 5 4 327.0 Oblique8 6 2 327.8 Oblique1 1 5 328.0 Oblique8 7 0 328.5 Tangential2 0 5 329.0 Tangential0 9 0 329.1 Axial3 8 2 329.3 Oblique1 9 0 330.1 Tangential6 8 0 330.8 Tangential3 7 3 330.9 Oblique2 1 5 331.0 Oblique8 0 4 331.6 Tangential6 6 3 331.6 Oblique0 2 5 333.1 Tangential2 9 0 333.1 Tangential8 1 4 333.6 Oblique3 0 5 334.0 Tangential1 2 5 334.0 Oblique4 5 4 334.1 Oblique7 3 4 334.8 Oblique8 7 1 334.9 Oblique0 9 1 335.4 Tangential6 4 4 335.9 Oblique3 1 5 336.0 Oblique4 8 2 336.2 Oblique9 4 3 336.3 Oblique1 9 1 336.4 Oblique2 2 5 337.0 Oblique6 8 1 337.1 Oblique8 5 3 337.4 Oblique4 7 3 337.8 Oblique3 9 0 338.0 Tangential7 7 2 338.9 Oblique2 9 1 339.4 Oblique8 2 4 339.6 Oblique0 6 4 340.1 Tangential4 0 5 340.9 Tangential1 6 4 341.1 Oblique3 2 5 341.9 Oblique4 1 5 342.8 Oblique5 5 4 342.9 Oblique0 3 5 342.9 Tangential7 8 0 343.6 Tangential1 3 5 343.9 Oblique2 6 4 344.0 Oblique3 9 1 344.2 Oblique7 6 3 344.4 Oblique9 6 2 344.5 Oblique4 9 0 344.8 Tangential5 8 2 345.0 Oblique9 7 0 345.2 Tangential5 7 3 346.5 Oblique2 3 5 346.8 Oblique

9 0 4 348.2 Tangential7 4 4 348.5 Oblique4 2 5 348.6 Oblique3 6 4 348.8 Oblique8 3 4 349.3 Oblique5 0 5 349.5 Tangential7 8 1 349.6 Oblique9 1 4 350.1 Oblique4 9 1 350.9 Oblique9 7 1 351.3 Oblique5 1 5 351.4 Oblique0 8 3 351.5 Tangential3 3 5 351.5 Oblique1 8 3 352.5 Oblique8 7 2 353.3 Oblique6 5 4 353.3 Oblique5 9 0 353.3 Tangential9 5 3 353.7 Oblique0 9 2 353.8 Tangential1 9 2 354.7 Oblique2 8 3 355.3 Oblique4 6 4 355.4 Oblique6 8 2 355.4 Oblique9 2 4 355.8 Oblique0 4 5 356.3 Tangential6 7 3 356.9 Oblique5 2 5 357.1 Oblique1 4 5 357.3 Oblique2 9 2 357.5 Oblique8 8 0 357.7 Tangential4 3 5 358.1 Oblique8 6 3 358.5 Oblique5 9 1 359.3 Oblique6 0 5 359.8 Tangential3 8 3 359.9 Oblique2 4 5 360.0 Oblique6 1 5 361.6 Oblique3 9 2 362.1 Oblique8 4 4 362.4 Oblique6 9 0 363.5 Tangential8 8 1 363.6 Oblique5 6 4 363.7 Oblique3 4 5 364.6 Oblique0 7 4 364.8 Tangential9 3 4 365.1 Oblique7 5 4 365.3 Oblique1 7 4 365.7 Oblique4 8 3 366.3 Oblique5 3 5 366.3 Oblique6 2 5 367.1 Oblique7 8 2 367.3 Oblique2 7 4 368.4 Oblique4 9 2 368.5 Oblique7 7 3 368.8 Oblique9 7 2 368.9 Oblique6 9 1 369.3 Oblique4 4 5 370.9 Oblique7 0 5 371.5 Tangential0 5 5 372.8 Tangential3 7 4 372.9 Oblique9 8 0 373.1 Tangential7 1 5 373.3 Oblique6 6 4 373.6 Oblique1 5 5 373.7 Oblique9 6 3 373.9 Oblique5 8 3 374.3 Oblique7 9 0 375.2 Tangential6 3 5 376.1 Oblique2 5 5 376.4 Oblique5 9 2 376.5 Oblique9 4 4 377.7 Oblique7 2 5 378.7 Oblique8 5 4 378.7 Oblique9 8 1 378.8 Oblique5 4 5 378.9 Oblique4 7 4 379.0 Oblique8 8 2 380.6 Oblique3 5 5 380.7 Oblique7 9 1 380.8 Oblique8 7 3 382.0 Oblique0 9 3 382.5 Tangential1 9 3 383.3 Oblique

6 8 3 384.0 Oblique8 0 5 384.7 Tangential7 6 4 384.9 Oblique2 9 3 385.9 Oblique6 9 2 386.0 Oblique8 1 5 386.4 Oblique4 5 5 386.8 Oblique5 7 4 386.8 Oblique7 3 5 387.4 Oblique8 9 0 388.2 Tangential6 4 5 388.4 Oblique0 0 6 389.9 Axial3 9 3 390.2 Oblique1 0 6 390.8 Tangential0 8 4 391.3 Tangential8 2 5 391.6 Oblique0 1 6 391.6 Tangential0 6 5 392.1 Tangential1 8 4 392.2 Oblique1 1 6 392.5 Oblique1 6 5 392.9 Oblique9 5 4 393.3 Oblique2 0 6 393.3 Tangential8 9 1 393.6 Oblique5 5 5 394.4 Oblique2 8 4 394.7 Oblique2 1 6 395.0 Oblique7 8 3 395.0 Oblique9 8 2 395.1 Oblique2 6 5 395.4 Oblique4 9 3 396.1 Oblique6 7 4 396.1 Oblique9 7 3 396.5 Oblique0 2 6 396.7 Tangential7 9 2 397.0 Oblique3 0 6 397.5 Tangential1 2 6 397.5 Oblique8 6 4 397.6 Oblique3 8 4 398.9 Oblique9 0 5 399.1 Tangential3 1 6 399.2 Oblique7 4 5 399.3 Oblique3 6 5 399.6 Oblique8 3 5 400.0 Oblique2 2 6 400.0 Oblique9 1 5 400.7 Oblique9 9 0 402.4 Tangential4 0 6 403.3 Tangential6 5 5 403.6 Oblique5 9 3 403.6 Oblique3 2 6 404.2 Oblique4 8 4 404.6 Oblique4 1 6 404.9 Oblique0 3 6 405.0 Tangential4 6 5 405.3 Oblique9 2 5 405.7 Oblique1 3 6 405.9 Oblique7 7 4 406.9 Oblique8 8 3 407.4 Oblique9 9 1 407.7 Oblique2 3 6 408.3 Oblique8 9 2 409.4 Oblique4 2 6 409.9 Oblique5 0 6 410.6 Tangential9 6 4 411.5 Oblique8 4 5 411.6 Oblique5 8 4 411.9 Oblique5 1 6 412.2 Oblique3 3 6 412.3 Oblique6 9 3 412.5 Oblique5 6 5 412.6 Oblique0 7 5 413.6 Tangential9 3 5 413.9 Oblique7 5 5 414.1 Oblique1 7 5 414.4 Oblique0 4 6 416.4 Tangential2 7 5 416.8 Oblique5 2 6 417.1 Oblique1 4 6 417.2 Oblique4 3 6 417.9 Oblique8 7 4 418.9 Oblique0 9 4 419.4 Tangential

6 0 6 419.4 Tangential2 4 6 419.6 Oblique1 9 4 420.1 Oblique6 8 4 420.7 Oblique3 7 5 420.8 Oblique6 1 6 421.0 Oblique9 8 3 421.0 Oblique6 6 5 421.4 Oblique2 9 4 422.5 Oblique7 9 3 422.8 Oblique9 9 2 422.9 Oblique3 4 6 423.5 Oblique5 3 6 425.0 Oblique9 4 5 425.0 Oblique6 2 6 425.7 Oblique8 5 5 425.9 Oblique4 7 5 426.2 Oblique3 9 4 426.4 Oblique4 4 6 429.0 Oblique7 0 6 429.5 Tangential0 5 6 430.6 Tangential7 8 4 430.8 Oblique7 1 6 431.1 Oblique1 5 6 431.4 Oblique7 6 5 431.5 Oblique4 9 4 431.8 Oblique9 7 4 432.1 Oblique5 7 5 433.2 Oblique6 3 6 433.5 Oblique2 5 6 433.7 Oblique8 9 3 434.4 Oblique7 2 6 435.7 Oblique5 4 6 435.9 Oblique0 8 5 437.2 Tangential3 5 6 437.5 Oblique1 8 5 437.9 Oblique5 9 4 438.7 Oblique9 5 5 438.9 Oblique2 8 5 440.2 Oblique8 0 6 441.0 Tangential6 7 5 441.5 Oblique8 8 4 442.2 Oblique8 1 6 442.5 Oblique4 5 6 442.8 Oblique8 6 5 442.8 Oblique7 3 6 443.3 Oblique3 8 5 444.0 Oblique6 4 6 444.2 Oblique6 9 4 446.9 Oblique8 2 6 447.0 Oblique9 9 3 447.2 Oblique0 6 6 447.4 Tangential1 6 6 448.1 Oblique4 8 5 449.2 Oblique5 5 6 449.5 Oblique2 6 6 450.3 Oblique7 7 5 451.2 Oblique9 0 6 453.5 Tangential7 4 6 453.8 Oblique3 6 6 454.0 Oblique8 3 6 454.4 Oblique9 8 4 454.8 Oblique0 0 7 454.9 Axial9 1 6 455.0 Oblique9 6 5 455.4 Oblique1 0 7 455.6 Tangential5 8 5 455.7 Oblique0 1 7 456.4 Tangential7 9 4 456.4 Oblique1 1 7 457.1 Oblique6 5 6 457.5 Oblique2 0 7 457.8 Tangential4 6 6 459.1 Oblique2 1 7 459.3 Oblique9 2 6 459.4 Oblique0 2 7 460.7 Tangential3 0 7 461.4 Tangential1 2 7 461.5 Oblique8 7 5 462.1 Oblique0 9 5 462.5 Tangential3 1 7 462.9 Oblique1 9 5 463.2 Oblique

2 2 7 463.6 Oblique6 8 5 463.7 Oblique8 4 6 464.6 Oblique2 9 5 465.3 Oblique5 6 6 465.5 Oblique4 0 7 466.4 Tangential0 7 6 466.4 Tangential9 3 6 466.6 Oblique7 5 6 466.8 Oblique1 7 6 467.1 Oblique3 2 7 467.2 Oblique8 9 4 467.2 Oblique4 1 7 467.8 Oblique0 3 7 467.9 Tangential1 3 7 468.6 Oblique3 9 5 468.9 Oblique2 7 6 469.2 Oblique2 3 7 470.8 Oblique4 2 7 472.1 Oblique5 0 7 472.8 Tangential3 7 6 472.8 Oblique7 8 5 472.9 Oblique6 6 6 473.3 Oblique4 9 5 473.8 Oblique9 7 5 474.1 Oblique5 1 7 474.2 Oblique3 3 7 474.3 Oblique9 4 6 476.5 Oblique8 5 6 477.3 Oblique4 7 6 477.6 Oblique0 4 7 477.8 Tangential5 2 7 478.4 Oblique1 4 7 478.5 Oblique9 9 4 479.1 Oblique4 3 7 479.1 Oblique5 9 5 480.0 Oblique6 0 7 480.4 Tangential2 4 7 480.6 Oblique6 1 7 481.8 Oblique7 6 6 482.3 Oblique8 8 5 483.3 Oblique5 7 6 483.8 Oblique3 4 7 484.0 Oblique5 3 7 485.3 Oblique6 2 7 485.9 Oblique0 8 6 487.4 Tangential6 9 5 487.6 Oblique1 8 6 488.1 Oblique4 4 7 488.8 Oblique9 5 6 489.0 Oblique7 0 7 489.3 Tangential2 8 6 490.1 Oblique0 5 7 490.3 Tangential7 1 7 490.7 Oblique1 5 7 490.9 Oblique6 7 6 491.3 Oblique8 6 6 492.5 Oblique6 3 7 492.8 Oblique2 5 7 493.0 Oblique3 8 6 493.5 Oblique7 2 7 494.7 Oblique9 8 5 494.8 Oblique5 4 7 494.9 Oblique3 5 7 496.3 Oblique7 9 5 496.3 Oblique4 8 6 498.2 Oblique8 0 7 499.3 Tangential7 7 6 500.0 Oblique8 1 7 500.7 Oblique4 5 7 501.0 Oblique7 3 7 501.4 Oblique6 4 7 502.2 Oblique9 6 6 503.8 Oblique5 8 6 504.1 Oblique8 2 7 504.7 Oblique0 6 7 505.0 Tangential1 6 7 505.7 Oblique8 9 5 506.2 Oblique5 5 7 506.9 Oblique2 6 7 507.7 Oblique8 7 6 509.9 Oblique0 9 6 510.2 Tangential

9 0 7 510.5 Tangential7 4 7 510.7 Oblique1 9 6 510.9 Oblique3 6 7 510.9 Oblique8 3 7 511.2 Oblique6 8 6 511.3 Oblique9 1 7 511.8 Oblique2 9 6 512.8 Oblique6 5 7 514.0 Oblique4 6 7 515.4 Oblique9 2 7 515.7 Oblique3 9 6 516.0 Oblique9 9 5 517.2 Oblique7 8 6 519.7 Oblique0 0 8 519.9 Axial8 4 7 520.3 Oblique4 9 6 520.5 Oblique1 0 8 520.5 Tangential9 7 6 520.8 Oblique0 1 8 521.2 Tangential5 6 7 521.2 Oblique1 1 8 521.8 Oblique0 7 7 522.0 Tangential9 3 7 522.1 Oblique7 5 7 522.3 Oblique2 0 8 522.4 Tangential1 7 7 522.6 Oblique2 1 8 523.7 Oblique2 7 7 524.5 Oblique0 2 8 525.0 Tangential3 0 8 525.6 Tangential1 2 8 525.6 Oblique5 9 6 526.2 Oblique3 1 8 526.9 Oblique2 2 8 527.5 Oblique3 7 7 527.6 Oblique6 6 7 528.1 Oblique8 8 6 529.2 Oblique4 0 8 530.0 Tangential3 2 8 530.7 Oblique9 4 7 531.0 Oblique4 1 8 531.2 Oblique0 3 8 531.3 Tangential8 5 7 531.8 Oblique1 3 8 532.0 Oblique4 7 7 532.0 Oblique6 9 6 533.1 Oblique2 3 8 533.8 Oblique4 2 8 535.0 Oblique5 0 8 535.6 Tangential7 6 7 536.2 Oblique5 1 8 536.8 Oblique3 3 8 536.9 Oblique5 7 7 537.6 Oblique9 8 6 539.7 Oblique0 4 8 540.1 Tangential5 2 8 540.5 Oblique1 4 8 540.7 Oblique0 8 7 540.8 Tangential7 9 6 541.1 Oblique4 3 8 541.2 Oblique1 8 7 541.4 Oblique9 5 7 542.2 Oblique6 0 8 542.3 Tangential2 4 8 542.5 Oblique2 8 7 543.3 Oblique6 1 8 543.6 Oblique6 7 7 544.3 Oblique8 6 7 545.4 Oblique3 4 8 545.6 Oblique3 8 7 546.3 Oblique5 3 8 546.7 Oblique6 2 8 547.3 Oblique4 4 8 549.8 Oblique8 9 6 550.2 Oblique7 0 8 550.2 Tangential4 8 7 550.5 Oblique0 5 8 551.1 Tangential7 1 8 551.4 Oblique1 5 8 551.7 Oblique7 7 7 552.2 Oblique6 3 8 553.3 Oblique

2 5 8 553.5 Oblique7 2 8 555.1 Oblique5 4 8 555.2 Oblique9 6 7 555.6 Oblique5 8 7 555.9 Oblique3 5 8 556.5 Oblique8 0 8 559.2 Tangential9 9 6 560.3 Oblique8 1 8 560.4 Oblique4 5 8 560.6 Oblique7 3 8 561.1 Oblique8 7 7 561.1 Oblique0 9 7 561.4 Tangential6 4 8 561.7 Oblique1 9 7 562.0 Oblique6 8 7 562.4 Oblique2 9 7 563.8 Oblique8 2 8 563.9 Oblique0 6 8 564.3 Tangential1 6 8 564.9 Oblique5 5 8 565.9 Oblique2 6 8 566.6 Oblique3 9 7 566.7 Oblique9 0 8 569.2 Tangential7 4 8 569.3 Oblique3 6 8 569.5 Oblique8 3 8 569.8 Oblique7 8 7 570.1 Oblique9 1 8 570.3 Oblique4 9 7 570.8 Oblique9 7 7 571.1 Oblique6 5 8 572.3 Oblique4 6 8 573.6 Oblique9 2 8 573.8 Oblique5 9 7 576.0 Oblique8 4 8 578.0 Oblique8 8 7 578.7 Oblique5 6 8 578.8 Oblique0 7 8 579.5 Tangential9 3 8 579.6 Oblique7 5 8 579.8 Oblique1 7 8 580.0 Oblique2 7 8 581.8 Oblique6 9 7 582.3 Oblique3 7 8 584.6 Oblique0 0 9 584.9 Axial6 6 8 585.0 Oblique1 0 9 585.4 Tangential0 1 9 586.0 Tangential1 1 9 586.6 Oblique2 0 9 587.1 Tangential9 4 8 587.7 Oblique2 1 9 588.3 Oblique8 5 8 588.3 Oblique9 8 7 588.4 Oblique4 7 8 588.5 Oblique0 2 9 589.4 Tangential7 9 7 589.7 Oblique3 0 9 589.9 Tangential1 2 9 590.0 Oblique3 1 9 591.1 Oblique2 2 9 591.7 Oblique7 6 8 592.3 Oblique5 7 8 593.6 Oblique4 0 9 593.9 Tangential3 2 9 594.5 Oblique4 1 9 595.0 Oblique0 3 9 595.1 Tangential1 3 9 595.6 Oblique0 8 8 596.5 Tangential1 8 8 597.1 Oblique2 3 9 597.3 Oblique9 5 8 597.8 Oblique8 9 7 598.0 Oblique4 2 9 598.4 Oblique2 8 8 598.7 Oblique5 0 9 598.9 Tangential6 7 8 599.7 Oblique5 1 9 600.0 Oblique3 3 9 600.1 Oblique8 6 8 600.7 Oblique3 8 8 601.5 Oblique

0 4 9 602.9 Tangential5 2 9 603.3 Oblique1 4 9 603.4 Oblique4 3 9 603.9 Oblique6 0 9 604.9 Tangential2 4 9 605.1 Oblique4 8 8 605.3 Oblique6 1 9 606.0 Oblique7 7 8 606.8 Oblique9 9 7 607.4 Oblique3 4 9 607.8 Oblique5 3 9 608.8 Oblique6 2 9 609.3 Oblique9 6 8 610.0 Oblique5 8 8 610.3 Oblique4 4 9 611.6 Oblique7 0 9 612.0 Tangential0 5 9 612.8 Tangential7 1 9 613.1 Oblique1 5 9 613.3 Oblique6 3 9 614.8 Oblique2 5 9 614.9 Oblique8 7 8 615.0 Oblique0 9 8 615.3 Tangential1 9 8 615.8 Oblique6 8 8 616.2 Oblique7 2 9 616.4 Oblique5 4 9 616.5 Oblique2 9 8 617.4 Oblique3 5 9 617.6 Oblique8 0 9 620.1 Tangential3 9 8 620.1 Oblique8 1 9 621.1 Oblique4 5 9 621.4 Oblique7 3 9 621.8 Oblique6 4 9 622.3 Oblique7 8 8 623.1 Oblique4 9 8 623.8 Oblique9 7 8 624.1 Oblique8 2 9 624.4 Oblique0 6 9 624.7 Tangential1 6 9 625.2 Oblique5 5 9 626.1 Oblique2 6 9 626.8 Oblique5 9 8 628.6 Oblique9 0 9 629.1 Tangential7 4 9 629.2 Oblique3 6 9 629.4 Oblique8 3 9 629.7 Oblique9 1 9 630.1 Oblique8 8 8 631.1 Oblique6 5 9 631.9 Oblique4 6 9 633.1 Oblique9 2 9 633.3 Oblique6 9 8 634.4 Oblique8 4 9 637.1 Oblique5 6 9 637.8 Oblique0 7 9 638.4 Tangential9 3 9 638.6 Oblique7 5 9 638.7 Oblique1 7 9 638.9 Oblique9 8 8 639.9 Oblique2 7 9 640.5 Oblique7 9 8 641.1 Oblique3 7 9 643.1 Oblique6 6 9 643.5 Oblique9 4 9 645.9 Oblique8 5 9 646.5 Oblique4 7 9 646.7 Oblique8 9 8 648.8 Oblique7 6 9 650.1 Oblique5 7 9 651.3 Oblique0 8 9 653.9 Tangential1 8 9 654.4 Oblique9 5 9 655.1 Oblique2 8 9 656.0 Oblique6 7 9 656.8 Oblique9 9 8 657.4 Oblique8 6 9 657.7 Oblique3 8 9 658.5 Oblique4 8 9 662.0 Oblique7 7 9 663.4 Oblique

9 6 9 666.2 Oblique5 8 9 666.5 Oblique8 7 9 670.8 Oblique0 9 9 671.1 Tangential1 9 9 671.6 Oblique6 8 9 671.9 Oblique2 9 9 673.1 Oblique3 9 9 675.5 Oblique7 8 9 678.3 Oblique4 9 9 678.9 Oblique9 7 9 679.2 Oblique5 9 9 683.3 Oblique8 8 9 685.6 Oblique6 9 9 688.6 Oblique9 8 9 693.8 Oblique7 9 9 694.9 Oblique8 9 9 702.0 Oblique9 9 9 710.0 Oblique

Ray Region ------|

20,000HzHF cutoff

Fⁿ

20 40 60 80 100 120 140 160 180 200 220 2400

1

2

Modes

Frequency (Hz)

Rel

ativ

e M

ode

Stre

ngth

1 2 3 4 5 6 7 8 9 10 11 12 1305

101520253035404550556065707580859095

100105110115


Actual Ideal


Num

ber o

f Mod

es

f Strength Interval25.74 1 trapping needed36.56 1 29.596413 1 0 Note44.72 1 18.232143 1 0 name51.48 1 13.145445 1 0 A0 27.563.15 1 18.469056 1 0 29.135264.99 1 2.831101 0 0 B0 30.867769.90 1 7.028259 1 0 C1 Pedal C 32.703273.13 1 4.414048 0 0 34.647874.57 1 1.930182 0 0 D1 36.708177.23 1 3.444152 0 0 38.890977.52 1 0.386316 0 0 E1 41.203478.88 1 1.722837 0 0 F1 43.653582.91 1 4.853599 0 0 46.249385.44 1 2.967765 0 0 G1 48.999489.43 1 4.459249 0 0 51.913190.61 1 1.302951 0 0 A1 5597.83 1 7.377407 1 0 58.2705

100.93 1 3.072114 0 0 B1 61.7354101.16 1 0.226706 0 1 C2 Deep C 65.4064102.97 1 1.755455 0 0 69.2957106.35 1 3.184706 0 0 D2 73.4162107.35 1 0.926585 0 0 77.7817109.27 1 1.754696 0 0 E2 82.4069109.69 1 0.385944 0 1 F2 87.3071110.55 1 0.777880 0 0 92.4986112.67 1 1.881698 0 0 G2 97.9989121.17 1 7.015869 1 0 103.826121.76 1 0.483607 0 1 A2 110124.64 1 2.308638 0 0 116.541126.29 1 1.310537 0 0 B2 123.471127.13 1 0.659776 0 0 C3 Low C 130.813127.49 1 0.285529 0 1 138.591128.71 1 0.943223 0 0 D3 146.832129.97 1 0.971599 0 0 155.563130.07 1 0.073743 0 1 E3 164.814132.50 1 1.833056 0 0 F3 174.614133.80 1 0.975449 0 0 184.997134.15 1 0.257876 0 1 G3 195.998

No SupportAlerts

0.5% NearCo-Incidence

Frequency (Hz)

A♯0/B♭0

C♯1/D♭1

D♯1/E♭1

F♯1/G♭1

G♯1/A♭1

A♯1/B♭1

C♯2/D♭2

D♯2/E♭2

F♯2/G♭2

G♯2/A♭2

A♯2/B♭2

C♯3/D♭3

D♯3/E♭3

F♯3/G♭3

135.02 1 0.643808 0 1 207.652137.45 1 1.769396 0 0 A3 220137.50 1 0.035327 0 1 233.082139.80 1 1.645038 0 0 B3 246.942142.03 1 1.573004 0 0 C4 Middle C 261.626144.18 1 1.493398 0 0 277.183144.50 1 0.217967 0 1 D4 293.665146.25 1 1.198814 0 0 311.127148.03 1 1.201924 0 0 E4 329.628148.50 1 0.315744 0 1 F4 349.228148.75 1 0.166293 0 1 369.994149.06 1 0.208809 0 1 G4 391.995149.13 1 0.048133 0 1 415.305150.45 1 0.873990 0 0 A4 A440 440151.18 1 0.487670 0 1 466.164151.34 1 0.101232 0 1 B4 493.883154.45 1 2.016279 0 0 C5 Tenor C 523.251155.05 1 0.386316 0 1 554.365155.54 1 0.316424 0 1 D5 587.33157.77 1 1.410878 0 0 622.254158.72 1 0.599642 0 1 E5 659.255160.04 1 0.825498 0 0 F5 698.456161.67 1 1.006729 0 0 739.989162.10 1 0.264929 0 1 G5 783.991163.88 1 1.088565 0 0 830.609165.39 1 0.911567 0 0 A5 880165.82 1 0.257247 0 1 932.328167.56 1 1.044162 0 0 B5 987.767167.94 1 0.223062 0 1 C6 1046.5168.12 1 0.105671 0 1 1108.73169.11 1 0.586042 0 1 D6 1174.66169.80 1 0.406578 0 1 1244.51170.07 1 0.160361 0 1 E6 1318.51170.89 1 0.477200 0 1 F6 1396.91171.51 1 0.361977 0 1 1479.98172.01 1 0.291142 0 1 G6 1567.98177.69 1 3.199103 0 0 1661.22177.70 1 0.002801 0 1 A6 1760178.86 1 0.651209 0 1 1864.66

G♯3/A♭3

A♯3/B♭3

C♯4/D♭4

D♯4/E♭4

F♯4/G♭4

G♯4/A♭4

A♯4/B♭4

C♯5/D♭5

D♯5/E♭5

F♯5/G♭5

G♯5/A♭5

A♯5/B♭5

C♯6/D♭6

D♯6/E♭6

F♯6/G♭6

G♯6/A♭6

A♯6/B♭6

180.19 1 0.737651 0 1 B6 1975.53181.16 1 0.537083 0 1 C7 2093181.22 1 0.032592 0 1 2217.46182.82 1 0.870434 0 1 D7 2349.32182.83 1 0.005995 0 1 2489.02182.92 1 0.049314 0 1 E7 2637.02183.86 1 0.515380 0 1 F7 2793.83184.62 1 0.408762 0 1 2959.96186.53 1 1.027283 0 0 G7 3135.96186.78 1 0.132931 0 1 3322.44189.44 1 1.401157 0 0 A7 3520189.93 1 0.257295 0 1 3729.31190.30 1 0.197690 0 1 B7 3951.07191.55 1 0.652472 0 1 C8 4186.01194.02 1 1.272957 0 0194.46 1 0.227666 0 1194.82 1 0.183327 0 1194.96 1 0.069255 0 1195.01 1 0.027482 0 1195.66 1 0.331164 0 1195.72 1 0.032560 0 1196.65 1 0.471309 0 1196.99 1 0.174089 0 1197.34 1 0.178666 0 1198.36 1 0.509861 0 1198.46 1 0.050876 0 1198.81 1 0.178872 0 1200.02 1 0.603320 0 1200.27 1 0.127239 0 1200.74 1 0.230298 0 1201.64 1 0.448214 0 1201.86 1 0.108839 0 1202.32 1 0.226706 0 1204.93 1 1.273506 0 0205.04 1 0.052432 0 1205.14 1 0.052976 0 1205.37 1 0.112039 0 1205.93 1 0.271454 0 1208.22 1 1.098150 0 0208.83 1 0.290079 0 1209.15 1 0.156979 0 1209.69 1 0.257797 0 1

C♯7/D♭7

D♯7/E♭7

F♯7/G♭7

G♯7/A♭7

A♯7/B♭7

209.81 1 0.052658 0 1209.82 1 0.006026 0 1210.35 1 0.251619 0 1210.95 1 0.286775 0 1212.71 1 0.825317 0 1212.86 1 0.070887 0 1213.28 1 0.199519 0 1214.49 1 0.562433 0 1214.70 1 0.096207 0 1215.94 1 0.577403 0 1218.53 1 1.184130 0 0219.02 1 0.221812 0 1219.38 1 0.164496 0 1219.65 1 0.124306 0 1220.48 1 0.374757 0 1220.74 1 0.116635 0 1220.88 1 0.067160 0 1221.10 1 0.097144 0 1222.08 1 0.441926 0 1222.17 1 0.042860 0 1222.41 1 0.107246 0 1223.49 1 0.481189 0 1223.58 1 0.040084 0 1223.70 1 0.052599 0 1224.31 1 0.272696 0 1225.16 1 0.379983 0 1225.17 1 0.003986 0 1225.34 1 0.073706 0 1225.78 1 0.195584 0 1227.99 1 0.969136 0 1228.80 1 0.354754 0 1229.54 1 0.323624 0 1229.74 1 0.084018 0 1230.14 1 0.175161 0 1230.24 1 0.045391 0 1231.68 1 0.617511 0 1232.08 1 0.172250 0 1232.29 1 0.091755 0 1232.57 1 0.122793 0 1232.83 1 0.110623 0 1233.32 1 0.211397 0 1233.61 1 0.122599 0 1233.90 1 0.123453 0 1

234.20 1 0.126829 0 1234.52 1 0.138634 0 1234.54 1 0.008893 0 1236.45 1 0.808699 0 1236.65 1 0.082790 0 1237.23 1 0.243763 0 1239.32 1 0.875581 0 1240.62 1 0.537136 0 1241.00 1 0.159716 0 1241.48 1 0.198890 0 1242.21 1 0.298586 0 1242.34 1 0.055790 0 1242.94 1 0.247564 0 1243.38 1 0.179591 0 1243.52 1 0.057140 0 1243.72 1 0.081462 0 1244.79 1 0.437861 0 1245.07 1 0.115815 0 1246.25 1 0.477315 0 1246.26 1 0.003333 0 1246.81 1 0.225181 0 1247.78 1 0.389441 0 1247.99 1 0.086255 0 1248.72 1 0.294356 0 1249.10 1 0.149498 0 1249.27 1 0.071360 0 1250.90 1 0.649449 0 1251.40 1 0.196233 0 1251.48 1 0.034849 0 1252.58 1 0.435402 0 1254.26 1 0.659776 0 1254.35 1 0.034096 0 1254.99 1 0.251519 0 1255.66 1 0.262160 0 1255.94 1 0.110237 0 1256.29 1 0.134096 0 1256.33 1 0.017609 0 1256.69 1 0.140775 0 1257.23 1 0.210348 0 1258.08 1 0.328729 0 1258.61 1 0.205081 0 1259.25 1 0.246298 0 1259.94 1 0.266487 0 1

260.13 1 0.073743 0 1260.81 1 0.258759 0 1261.07 1 0.099108 0 1261.21 1 0.055905 0 1262.50 1 0.490428 0 1262.52 1 0.006416 0 1263.76 1 0.470992 0 1264.06 1 0.114413 0 1264.44 1 0.142515 0 1264.58 1 0.051293 0 1264.79 1 0.081038 0 1264.99 1 0.076233 0 1265.31 1 0.121575 0 1265.48 1 0.060735 0 1265.64 1 0.062833 0 1265.99 1 0.131097 0 1266.43 1 0.163362 0 1267.08 1 0.245489 0 1267.26 1 0.067736 0 1267.34 1 0.028033 0 1267.50 1 0.061408 0 1267.98 1 0.178841 0 1268.15 1 0.061665 0 1268.29 1 0.054797 0 1268.50 1 0.076708 0 1269.03 1 0.198727 0 1270.03 1 0.369542 0 1271.17 1 0.419933 0 1271.26 1 0.031498 0 1271.84 1 0.213077 0 1272.18 1 0.125202 0 1272.34 1 0.059780 0 1273.63 1 0.469850 0 1273.98 1 0.128257 0 1274.90 1 0.334676 0 1274.99 1 0.035327 0 1275.12 1 0.047101 0 1275.36 1 0.087034 0 1275.37 1 0.003499 0 1275.52 1 0.054909 0 1275.62 1 0.033171 0 1275.88 1 0.094873 0 1276.05 1 0.063467 0 1

278.20 1 0.770805 0 1279.59 1 0.499487 0 1280.86 1 0.450412 0 1281.58 1 0.255723 0 1281.97 1 0.140263 0 1282.14 1 0.058239 0 1282.94 1 0.282295 0 1283.31 1 0.131714 0 1283.43 1 0.041571 0 1283.58 1 0.053226 0 1283.89 1 0.111174 0 1284.06 1 0.058841 0 1285.63 1 0.549627 0 1285.93 1 0.103080 0 1286.41 1 0.169637 0 1286.48 1 0.024412 0 1286.80 1 0.109813 0 1287.05 1 0.088701 0 1287.24 1 0.067000 0 1287.40 1 0.053678 0 1287.72 1 0.112033 0 1288.20 1 0.167533 0 1288.54 1 0.115156 0 1289.00 1 0.159946 0 1290.06 1 0.366919 0 1291.24 1 0.403474 0 1291.63 1 0.135285 0 1292.36 1 0.248241 0 1292.50 1 0.050236 0 1292.52 1 0.003945 0 1292.86 1 0.115911 0 1293.49 1 0.215457 0 1293.63 1 0.050123 0 1293.76 1 0.042611 0 1294.61 1 0.290000 0 1295.12 1 0.170749 0 1296.64 1 0.513073 0 1297.00 1 0.121298 0 1297.26 1 0.086536 0 1297.97 1 0.238702 0 1298.12 1 0.049886 0 1298.26 1 0.048133 0 1298.93 1 0.224613 0 1

299.14 1 0.068537 0 1299.37 1 0.077599 0 1299.64 1 0.088848 0 1300.34 1 0.234223 0 1300.74 1 0.133083 0 1300.89 1 0.050208 0 1302.19 1 0.429374 0 1302.37 1 0.058547 0 1302.53 1 0.053295 0 1302.67 1 0.047963 0 1302.79 1 0.038867 0 1303.10 1 0.100949 0 1303.24 1 0.048214 0 1303.48 1 0.077708 0 1304.03 1 0.180692 0 1304.05 1 0.008689 0 1304.50 1 0.147880 0 1304.57 1 0.021170 0 1304.96 1 0.128471 0 1304.99 1 0.009586 0 1305.92 1 0.302574 0 1307.83 1 0.621742 0 1308.10 1 0.086926 0 1308.68 1 0.189568 0 1309.43 1 0.241130 0 1310.10 1 0.216179 0 1310.11 1 0.003510 0 1311.03 1 0.294775 0 1311.08 1 0.018204 0 1311.49 1 0.132335 0 1312.23 1 0.235905 0 1313.01 1 0.248637 0 1314.59 1 0.501080 0 1315.53 1 0.300580 0 1316.29 1 0.238817 0 1316.83 1 0.171914 0 1317.79 1 0.301195 0 1318.40 1 0.189850 0 1318.83 1 0.136869 0 1319.06 1 0.071773 0 1319.07 1 0.003085 0 1319.57 1 0.155883 0 1319.68 1 0.035979 0 1

320.08 1 0.123615 0 1320.47 1 0.121574 0 1321.11 1 0.200500 0 1321.65 1 0.165774 0 1321.74 1 0.027760 0 1321.94 1 0.061732 0 1322.05 1 0.034357 0 1322.33 1 0.089254 0 1322.47 1 0.042635 0 1322.76 1 0.090957 0 1324.19 1 0.441061 0 1324.63 1 0.135209 0 1324.85 1 0.065900 0 1324.93 1 0.024926 0 1325.61 1 0.210105 0 1325.83 1 0.066575 0 1325.95 1 0.035901 0 1325.97 1 0.005826 0 1326.11 1 0.044421 0 1326.98 1 0.265694 0 1327.04 1 0.018732 0 1327.76 1 0.220268 0 1327.99 1 0.069663 0 1328.50 1 0.156156 0 1328.98 1 0.145298 0 1329.07 1 0.026086 0 1329.26 1 0.059830 0 1330.07 1 0.244887 0 1330.78 1 0.213027 0 1330.87 1 0.029331 0 1331.01 1 0.040101 0 1331.63 1 0.187957 0 1331.65 1 0.005053 0 1333.06 1 0.422741 0 1333.07 1 0.004571 0 1333.64 1 0.170707 0 1333.98 1 0.101549 0 1334.05 1 0.020769 0 1334.06 1 0.002377 0 1334.77 1 0.213151 0 1334.87 1 0.029778 0 1335.42 1 0.164909 0 1335.88 1 0.135800 0 1

335.97 1 0.028447 0 1336.23 1 0.077246 0 1336.26 1 0.007886 0 1336.41 1 0.044103 0 1337.01 1 0.178528 0 1337.10 1 0.026621 0 1337.40 1 0.088519 0 1337.81 1 0.121913 0 1338.01 1 0.058117 0 1338.92 1 0.269598 0 1339.35 1 0.126614 0 1339.60 1 0.072499 0 1340.14 1 0.160361 0 1340.85 1 0.208312 0 1341.12 1 0.076991 0 1341.89 1 0.226915 0 1342.81 1 0.267499 0 1342.87 1 0.017042 0 1342.94 1 0.022376 0 1343.55 1 0.177180 0 1343.91 1 0.103527 0 1344.02 1 0.031617 0 1344.20 1 0.052646 0 1344.39 1 0.055633 0 1344.52 1 0.037351 0 1344.80 1 0.081931 0 1344.99 1 0.054499 0 1345.22 1 0.068062 0 1346.53 1 0.375725 0 1346.79 1 0.075094 0 1348.20 1 0.406199 0 1348.47 1 0.076364 0 1348.61 1 0.040728 0 1348.80 1 0.054575 0 1349.30 1 0.143451 0 1349.49 1 0.054759 0 1349.64 1 0.043707 0 1350.11 1 0.134439 0 1350.87 1 0.215582 0 1351.29 1 0.118328 0 1351.40 1 0.031809 0 1351.52 1 0.034781 0 1351.53 1 0.002732 0 1

352.46 1 0.264330 0 1353.28 1 0.231620 0 1353.34 1 0.015729 0 1353.34 1 0.001937 0 1353.70 1 0.100688 0 1353.80 1 0.029906 0 1354.74 1 0.263631 0 1355.27 1 0.149463 0 1355.39 1 0.032300 0 1355.40 1 0.002801 0 1355.80 1 0.112549 0 1356.33 1 0.148592 0 1356.89 1 0.157533 0 1357.06 1 0.048099 0 1357.25 1 0.054484 0 1357.53 1 0.077385 0 1357.73 1 0.054327 0 1358.07 1 0.095497 0 1358.53 1 0.129013 0 1359.27 1 0.205793 0 1359.77 1 0.138710 0 1359.90 1 0.037654 0 1360.03 1 0.033896 0 1361.62 1 0.441240 0 1362.13 1 0.141765 0 1362.45 1 0.086382 0 1363.51 1 0.292447 0 1363.58 1 0.019048 0 1363.68 1 0.027322 0 1364.60 1 0.251918 0 1364.80 1 0.054248 0 1365.07 1 0.074751 0 1365.32 1 0.069477 0 1365.70 1 0.104017 0 1366.29 1 0.160536 0 1366.30 1 0.002516 0 1367.12 1 0.224581 0 1367.32 1 0.051833 0 1368.41 1 0.297431 0 1368.48 1 0.019674 0 1368.76 1 0.074749 0 1368.88 1 0.032580 0 1369.27 1 0.106915 0 1

370.90 1 0.439594 0 1371.55 1 0.173007 0 1372.83 1 0.343142 0 1372.88 1 0.014409 0 1373.14 1 0.069126 0 1373.34 1 0.054565 0 1373.57 1 0.060038 0 1373.71 1 0.039589 0 1373.91 1 0.052256 0 1374.34 1 0.115822 0 1375.17 1 0.221052 0 1376.12 1 0.251412 0 1376.36 1 0.065459 0 1376.49 1 0.032982 0 1377.67 1 0.312300 0 1378.68 1 0.265917 0 1378.68 1 0.001850 0 1378.76 1 0.019237 0 1378.86 1 0.027364 0 1379.05 1 0.050244 0 1380.60 1 0.408719 0 1380.74 1 0.035700 0 1380.76 1 0.004880 0 1382.00 1 0.324392 0 1382.48 1 0.126801 0 1383.35 1 0.225708 0 1383.96 1 0.158061 0 1384.69 1 0.191114 0 1384.92 1 0.060458 0 1385.93 1 0.261524 0 1386.05 1 0.029746 0 1386.42 1 0.097511 0 1386.78 1 0.092982 0 1386.84 1 0.013388 0 1387.40 1 0.145758 0 1388.19 1 0.204213 0 1388.36 1 0.042740 0 1389.91 1 0.398706 0 1390.20 1 0.073743 0 1390.76 1 0.143578 0 1391.32 1 0.141648 0 1391.58 1 0.067018 0 1391.62 1 0.011497 0 1

392.05 1 0.109198 0 1392.16 1 0.028098 0 1392.47 1 0.078170 0 1392.90 1 0.108729 0 1393.27 1 0.096116 0 1393.30 1 0.005939 0 1393.60 1 0.075484 0 1394.42 1 0.208646 0 1394.69 1 0.068666 0 1394.99 1 0.077174 0 1395.01 1 0.005101 0 1395.13 1 0.028395 0 1395.42 1 0.073877 0 1396.10 1 0.172243 0 1396.15 1 0.011225 0 1396.47 1 0.081667 0 1396.71 1 0.061221 0 1397.05 1 0.084648 0 1397.49 1 0.110668 0 1397.55 1 0.014664 0 1397.63 1 0.019841 0 1398.86 1 0.310697 0 1399.06 1 0.049968 0 1399.17 1 0.025613 0 1399.30 1 0.032549 0 1399.59 1 0.072592 0 1400.02 1 0.109359 0 1400.04 1 0.003778 0 1400.74 1 0.173841 0 1402.44 1 0.423898 0 1403.28 1 0.208097 0 1403.55 1 0.067457 0 1403.56 1 0.001485 0 1404.16 1 0.148419 0 1404.64 1 0.118299 0 1404.93 1 0.073430 0 1405.05 1 0.028253 0 1405.35 1 0.073917 0 1405.71 1 0.088699 0 1405.87 1 0.038846 0 1406.87 1 0.247387 0 1407.40 1 0.129752 0 1407.65 1 0.062085 0 1

408.31 1 0.160019 0 1409.37 1 0.260348 0 1409.86 1 0.117896 0 1410.61 1 0.182935 0 1411.55 1 0.228079 0 1411.55 1 0.001854 0 1411.94 1 0.093783 0 1412.23 1 0.070852 0 1412.34 1 0.027262 0 1412.49 1 0.035327 0 1412.64 1 0.036013 0 1413.62 1 0.237961 0 1413.86 1 0.058159 0 1414.09 1 0.054072 0 1414.42 1 0.080988 0 1416.44 1 0.484263 0 1416.82 1 0.089928 0 1417.07 1 0.060746 0 1417.24 1 0.039942 0 1417.93 1 0.166607 0 1418.91 1 0.233358 0 1419.35 1 0.105474 0 1419.39 1 0.009143 0 1419.61 1 0.052658 0 1420.14 1 0.126154 0 1420.69 1 0.131642 0 1420.77 1 0.018136 0 1420.98 1 0.049810 0 1421.00 1 0.004490 0 1421.38 1 0.090034 0 1422.50 1 0.265334 0 1422.80 1 0.071807 0 1422.91 1 0.024786 0 1423.54 1 0.149201 0 1425.01 1 0.344990 0 1425.02 1 0.003067 0 1425.72 1 0.163905 0 1425.92 1 0.047775 0 1426.25 1 0.076556 0 1426.40 1 0.036515 0 1428.98 1 0.601033 0 1429.54 1 0.129419 0 1430.64 1 0.257078 0 1

430.81 1 0.038758 0 1431.09 1 0.064787 0 1431.41 1 0.074733 0 1431.48 1 0.015424 0 1431.81 1 0.076020 0 1432.15 1 0.078175 0 1433.19 1 0.240269 0 1433.50 1 0.071652 0 1433.71 1 0.049289 0 1434.40 1 0.158430 0 1435.72 1 0.302577 0 1435.88 1 0.036598 0 1437.19 1 0.300960 0 1437.51 1 0.073370 0 1437.95 1 0.099593 0 1438.66 1 0.161650 0 1438.95 1 0.065366 0 1440.21 1 0.287974 0 1440.96 1 0.168253 0 1441.52 1 0.127741 0 1442.20 1 0.153137 0 1442.47 1 0.061497 0 1442.78 1 0.070943 0 1442.85 1 0.014643 0 1443.32 1 0.106864 0 1443.96 1 0.143998 0 1444.16 1 0.044746 0 1446.89 1 0.610997 0 1446.98 1 0.019650 0 1447.18 1 0.044549 0 1447.39 1 0.048133 0 1448.13 1 0.165117 0 1449.15 1 0.227541 0 1449.47 1 0.069519 0 1450.34 1 0.194975 0 1451.17 1 0.182732 0 1453.55 1 0.524653 0 1453.75 1 0.045030 0 1454.01 1 0.056227 0 1454.39 1 0.084744 0 1454.76 1 0.079630 0 1454.90 1 0.031699 0 1455.02 1 0.026459 0 1

455.39 1 0.080924 0 1455.63 1 0.052419 0 1455.74 1 0.025723 0 1456.37 1 0.136305 0 1456.43 1 0.013013 0 1457.09 1 0.145708 0 1457.50 1 0.089869 0 1457.80 1 0.065630 0 1459.09 1 0.279786 0 1459.26 1 0.037733 0 1459.41 1 0.031448 0 1460.74 1 0.289495 0 1461.41 1 0.144843 0 1461.46 1 0.010883 0 1462.05 1 0.128736 0 1462.45 1 0.086721 0 1462.85 1 0.086487 0 1463.17 1 0.068133 0 1463.61 1 0.094300 0 1463.67 1 0.014070 0 1464.58 1 0.194587 0 1465.31 1 0.157874 0 1465.54 1 0.048752 0 1466.41 1 0.186394 0 1466.41 1 0.000705 0 1466.62 1 0.045748 0 1466.82 1 0.042543 0 1467.12 1 0.063740 0 1467.17 1 0.009916 0 1467.19 1 0.004457 0 1467.84 1 0.139086 0 1467.94 1 0.021168 0 1468.64 1 0.150968 0 1468.86 1 0.045394 0 1469.24 1 0.082211 0 1470.76 1 0.322356 0 1472.11 1 0.284711 0 1472.76 1 0.137968 0 1472.76 1 0.000686 0 1472.87 1 0.023207 0 1473.30 1 0.091160 0 1473.78 1 0.100593 0 1474.09 1 0.064950 0 1

474.17 1 0.017468 0 1474.27 1 0.020607 0 1476.55 1 0.478249 0 1477.35 1 0.168426 0 1477.64 1 0.060962 0 1477.83 1 0.039933 0 1478.38 1 0.114464 0 1478.52 1 0.030364 0 1479.09 1 0.118367 0 1479.13 1 0.008381 0 1480.03 1 0.187254 0 1480.40 1 0.077769 0 1480.60 1 0.040139 0 1481.79 1 0.248337 0 1482.32 1 0.108276 0 1483.27 1 0.196521 0 1483.84 1 0.119433 0 1484.03 1 0.038916 0 1485.32 1 0.264469 0 1485.94 1 0.128123 0 1487.43 1 0.306834 0 1487.56 1 0.026705 0 1488.11 1 0.112483 0 1488.80 1 0.140551 0 1489.01 1 0.042296 0 1489.29 1 0.057453 0 1490.15 1 0.174872 0 1490.26 1 0.023468 0 1490.65 1 0.079902 0 1490.94 1 0.057705 0 1491.32 1 0.077920 0 1492.51 1 0.242421 0 1492.77 1 0.051870 0 1492.96 1 0.038151 0 1493.51 1 0.112941 0 1494.72 1 0.244374 0 1494.78 1 0.012356 0 1494.86 1 0.016038 0 1496.31 1 0.290605 0 1496.32 1 0.002872 0 1498.19 1 0.375606 0 1499.34 1 0.230553 0 1500.01 1 0.133225 0 1

500.68 1 0.133957 0 1500.96 1 0.055418 0 1501.43 1 0.094951 0 1502.17 1 0.147572 0 1503.82 1 0.326528 0 1504.14 1 0.063843 0 1504.67 1 0.104518 0 1505.04 1 0.072709 0 1505.69 1 0.129645 0 1506.23 1 0.107235 0 1506.87 1 0.126283 0 1507.65 1 0.153407 0 1509.85 1 0.431111 0 1510.21 1 0.071240 0 1510.50 1 0.055424 0 1510.68 1 0.035549 0 1510.86 1 0.036111 0 1510.91 1 0.008291 0 1511.25 1 0.066938 0 1511.32 1 0.013883 0 1511.80 1 0.094981 0 1512.80 1 0.195058 0 1514.01 1 0.235146 0 1515.42 1 0.273790 0 1515.71 1 0.054887 0 1516.03 1 0.061512 0 1517.24 1 0.234869 0 1519.67 1 0.468324 0 1519.89 1 0.040673 0 1520.32 1 0.083389 0 1520.50 1 0.034786 0 1520.52 1 0.004217 0 1520.78 1 0.049608 0 1521.17 1 0.074619 0 1521.18 1 0.001628 0 1521.80 1 0.120131 0 1521.96 1 0.029271 0 1522.15 1 0.036534 0 1522.33 1 0.033981 0 1522.43 1 0.019608 0 1522.59 1 0.031322 0 1523.71 1 0.212756 0 1524.49 1 0.149536 0 1

525.00 1 0.097630 0 1525.59 1 0.111610 0 1525.63 1 0.008388 0 1526.20 1 0.107221 0 1526.86 1 0.125641 0 1527.52 1 0.125384 0 1527.64 1 0.022400 0 1528.12 1 0.091828 0 1529.15 1 0.193942 0 1529.98 1 0.157210 0 1530.65 1 0.125967 0 1531.03 1 0.071833 0 1531.24 1 0.039496 0 1531.33 1 0.016418 0 1531.76 1 0.079840 0 1531.95 1 0.037343 0 1532.02 1 0.011797 0 1533.08 1 0.199261 0 1533.82 1 0.138669 0 1535.00 1 0.221630 0 1535.58 1 0.107483 0 1536.22 1 0.118852 0 1536.83 1 0.113498 0 1536.91 1 0.016078 0 1537.59 1 0.126273 0 1539.69 1 0.388661 0 1540.07 1 0.069487 0 1540.55 1 0.089638 0 1540.68 1 0.023784 0 1540.83 1 0.027264 0 1541.10 1 0.050379 0 1541.22 1 0.021703 0 1541.44 1 0.041040 0 1542.24 1 0.148633 0 1542.34 1 0.018194 0 1542.51 1 0.031498 0 1543.27 1 0.139369 0 1543.57 1 0.055752 0 1544.33 1 0.138827 0 1545.41 1 0.197635 0 1545.56 1 0.027715 0 1546.31 1 0.137821 0 1546.70 1 0.070633 0 1

547.25 1 0.101009 0 1549.79 1 0.462504 0 1550.21 1 0.075080 0 1550.23 1 0.003774 0 1550.54 1 0.056905 0 1551.09 1 0.100057 0 1551.44 1 0.063252 0 1551.69 1 0.045692 0 1552.19 1 0.089251 0 1553.32 1 0.205736 0 1553.49 1 0.030261 0 1555.07 1 0.283525 0 1555.19 1 0.022556 0 1555.64 1 0.080633 0 1555.93 1 0.052499 0 1556.48 1 0.098129 0 1559.19 1 0.484644 0 1560.35 1 0.207613 0 1560.38 1 0.005483 0 1560.63 1 0.044247 0 1561.05 1 0.075835 0 1561.11 1 0.010605 0 1561.44 1 0.058829 0 1561.72 1 0.048534 0 1562.03 1 0.056435 0 1562.45 1 0.073627 0 1563.80 1 0.239732 0 1563.95 1 0.026283 0 1564.28 1 0.058239 0 1564.86 1 0.103892 0 1565.92 1 0.187178 0 1566.62 1 0.123120 0 1566.73 1 0.019416 0 1569.17 1 0.428657 0 1569.33 1 0.028600 0 1569.54 1 0.035726 0 1569.84 1 0.053876 0 1570.05 1 0.037022 0 1570.34 1 0.050640 0 1570.81 1 0.081402 0 1571.06 1 0.044759 0 1572.33 1 0.220645 0 1573.59 1 0.221016 0 1

573.85 1 0.044326 0 1576.01 1 0.374949 0 1578.00 1 0.343939 0 1578.71 1 0.122814 0 1578.77 1 0.010787 0 1579.47 1 0.121171 0 1579.64 1 0.029645 0 1579.80 1 0.027577 0 1580.04 1 0.041334 0 1581.75 1 0.294122 0 1582.30 1 0.093935 0 1584.59 1 0.392350 0 1584.87 1 0.047310 0 1585.03 1 0.027529 0 1585.44 1 0.069205 0 1586.01 1 0.098214 0 1586.58 1 0.096339 0 1587.13 1 0.094475 0 1587.66 1 0.089708 0 1588.27 1 0.103725 0 1588.31 1 0.007134 0 1588.36 1 0.007972 0 1588.55 1 0.032178 0 1589.42 1 0.148716 0 1589.65 1 0.038372 0 1589.95 1 0.050224 0 1589.99 1 0.006658 0 1591.08 1 0.184860 0 1591.67 1 0.099657 0 1592.35 1 0.114737 0 1593.59 1 0.209654 0 1593.87 1 0.045887 0 1594.46 1 0.100363 0 1594.99 1 0.088719 0 1595.07 1 0.013089 0 1595.62 1 0.093434 0 1596.52 1 0.150630 0 1597.08 1 0.092979 0 1597.29 1 0.035615 0 1597.81 1 0.086686 0 1598.02 1 0.035261 0 1598.35 1 0.055299 0 1598.74 1 0.065085 0 1

598.87 1 0.020886 0 1599.70 1 0.139357 0 1599.98 1 0.046567 0 1600.06 1 0.012872 0 1600.68 1 0.103537 0 1601.50 1 0.136501 0 1602.88 1 0.228682 0 1603.31 1 0.071951 0 1603.43 1 0.019094 0 1603.91 1 0.079757 0 1604.92 1 0.166974 0 1605.07 1 0.025321 0 1605.34 1 0.044690 0 1606.02 1 0.112246 0 1606.84 1 0.134520 0 1607.37 1 0.086339 0 1607.81 1 0.072421 0 1608.83 1 0.167967 0 1609.32 1 0.081469 0 1609.98 1 0.108194 0 1610.25 1 0.043567 0 1611.61 1 0.222193 0 1612.00 1 0.063731 0 1612.78 1 0.126886 0 1613.09 1 0.051168 0 1613.32 1 0.036970 0 1614.79 1 0.238739 0 1614.94 1 0.024515 0 1614.98 1 0.006528 0 1615.28 1 0.048982 0 1615.82 1 0.087404 0 1616.19 1 0.061340 0 1616.35 1 0.025819 0 1616.47 1 0.018295 0 1617.43 1 0.155815 0 1617.62 1 0.031789 0 1620.07 1 0.393969 0 1620.10 1 0.006134 0 1621.14 1 0.167275 0 1621.37 1 0.036018 0 1621.75 1 0.061747 0 1622.35 1 0.096058 0 1623.14 1 0.127569 0 1

623.83 1 0.110502 0 1624.07 1 0.037478 0 1624.36 1 0.047460 0 1624.66 1 0.047521 0 1625.19 1 0.084802 0 1626.15 1 0.152876 0 1626.78 1 0.100609 0 1628.60 1 0.289005 0 1629.08 1 0.077790 0 1629.23 1 0.023414 0 1629.42 1 0.029251 0 1629.69 1 0.044119 0 1630.15 1 0.071792 0 1631.07 1 0.146233 0 1631.94 1 0.138081 0 1633.09 1 0.181391 0 1633.32 1 0.036390 0 1634.37 1 0.164901 0 1637.08 1 0.426089 0 1637.78 1 0.109996 0 1638.42 1 0.099817 0 1638.58 1 0.024425 0 1638.72 1 0.022723 0 1638.94 1 0.034064 0 1639.93 1 0.155228 0 1640.49 1 0.087493 0 1641.12 1 0.097936 0 1643.07 1 0.303751 0 1643.47 1 0.061848 0 1645.86 1 0.370041 0 1646.46 1 0.091799 0 1646.67 1 0.033254 0 1648.83 1 0.332236 0 1650.13 1 0.200737 0 1651.26 1 0.174136 0 1653.94 1 0.408541 0 1654.44 1 0.077387 0 1655.11 1 0.101806 0 1655.96 1 0.129593 0 1656.84 1 0.133536 0 1657.45 1 0.093129 0 1657.73 1 0.042766 0 1658.48 1 0.113887 0 1

661.99 1 0.530627 0 1663.36 1 0.206339 0 1666.24 1 0.431819 0 1666.48 1 0.036524 0 1670.81 1 0.645424 0 1671.09 1 0.041172 0 1671.58 1 0.073486 0 1671.93 1 0.051583 0 1673.06 1 0.168155 0 1675.52 1 0.363691 0 1678.31 1 0.411499 0 1678.94 1 0.093284 0 1679.16 1 0.031643 0 1683.32 1 0.609217 0 1685.60 1 0.332033 0 1688.63 1 0.440940 0 1693.76 1 0.739481 0 1694.86 1 0.157762 0 1701.97 1 1.013678 0 1709.95 1 1.123781 0 1

NOTE:IDEAL Interval should not be greater than 5.611807

20 40 60 80 100 120 140 160 180 200 220 2400

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20 40 60 80 100 120 140 160 180 200 220 2400

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20 40 60 80 100 120 140 160 180 200 220 2400

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Frequency (Hz)

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20 40 60 80 100 120 140 160 180 200 220 2400

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Frequency (Hz)

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20 40 60 80 100 120 140 160 180 200 220 2400

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20 40 60 80 100 120 140 160 180 200 220 2400

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Axial ModesLx = 21.9 nx ny nz f Type SpacingLy = 15.5 1 0 0 25.7 AxialLz = 8.7 0 1 0 36.6 Axial 10.8 c/2 = 565 2 0 0 51.5 Axial 14.9

0 0 1 65.0 Axial 13.5 V = 2949 0 2 0 73.1 Axial 8.1

3 0 0 77.2 Axial 4.1 4 0 0 103.0 Axial 25.7 0 3 0 109.7 Axial 6.7 5 0 0 128.7 Axial 19.0 0 0 2 130.0 Axial 1.3 0 4 0 146.3 Axial 16.3 6 0 0 154.5 Axial 8.2 7 0 0 180.2 Axial 25.7 0 5 0 182.8 Axial 2.6 0 0 3 195.0 Axial 12.1 8 0 0 205.9 Axial 11.0 0 6 0 219.4 Axial 13.4 9 0 0 231.7 Axial 12.3 0 7 0 255.9 Axial 24.3 0 0 4 259.9 Axial 4.0 0 8 0 292.5 Axial 32.6 0 0 5 324.9 Axial 32.4 0 9 0 329.1 Axial 4.1 0 0 6 389.9 Axial 60.8 0 0 7 454.9 Axial 65.0 0 0 8 519.9 Axial 65.0 0 0 9 584.9 Axial 65.0

Tangential ModesLx = 21.9 nx ny nz f Type SpacingLy = 15.5 1 1 0 44.7 TangentialLz = 8.7 2 1 0 63.1 Tangential 18.4 c/2 = 565 1 0 1 69.9 Tangential 6.8

0 1 1 74.6 Tangential 4.7 V = 2949 1 2 0 77.5 Tangential 3.0

2 0 1 82.9 Tangential 5.4 3 1 0 85.4 Tangential 2.5 2 2 0 89.4 Tangential 4.0 0 2 1 97.8 Tangential 8.4 3 0 1 100.9 Tangential 3.1 3 2 0 106.4 Tangential 5.4 4 1 0 109.3 Tangential 2.9 1 3 0 112.7 Tangential 3.4 2 3 0 121.2 Tangential 8.5 4 0 1 121.8 Tangential 0.6 4 2 0 126.3 Tangential 4.5 0 3 1 127.5 Tangential 1.2 1 0 2 132.5 Tangential 5.0 5 1 0 133.8 Tangential 1.3 3 3 0 134.1 Tangential 0.3 0 1 2 135.0 Tangential 0.9 2 0 2 139.8 Tangential 4.8 5 0 1 144.2 Tangential 4.4 5 2 0 148.0 Tangential 3.8 1 4 0 148.5 Tangential 0.5 0 2 2 149.1 Tangential 0.6 4 3 0 150.4 Tangential 1.3 3 0 2 151.2 Tangential 0.7 2 4 0 155.0 Tangential 3.9 6 1 0 158.7 Tangential 3.7 0 4 1 160.0 Tangential 1.3 3 4 0 165.4 Tangential 5.3 4 0 2 165.8 Tangential 0.4 6 0 1 167.6 Tangential 1.7 5 3 0 169.1 Tangential 1.5 0 3 2 170.1 Tangential 1.0 6 2 0 170.9 Tangential 0.8 4 4 0 178.9 Tangential 8.0 5 0 2 182.9 Tangential 4.1 7 1 0 183.9 Tangential 0.9 1 5 0 184.6 Tangential 0.8 6 3 0 189.4 Tangential 4.8 2 5 0 189.9 Tangential 0.5 7 0 1 191.6 Tangential 1.6

0 5 1 194.0 Tangential 2.5 7 2 0 194.5 Tangential 0.4 5 4 0 194.8 Tangential 0.4 0 4 2 195.7 Tangential 0.8 1 0 3 196.6 Tangential 1.0 0 1 3 198.4 Tangential 1.7 3 5 0 198.5 Tangential 0.1 2 0 3 201.6 Tangential 3.2 6 0 2 201.9 Tangential 0.2 0 2 3 208.2 Tangential 6.4 8 1 0 209.2 Tangential 0.9 3 0 3 209.7 Tangential 0.5 4 5 0 209.8 Tangential 0.1 7 3 0 211.0 Tangential 1.1 6 4 0 212.7 Tangential 1.8 8 0 1 215.9 Tangential 3.2 8 2 0 218.5 Tangential 2.6 4 0 3 220.5 Tangential 1.9 1 6 0 220.9 Tangential 0.4 7 0 2 222.2 Tangential 1.3 5 5 0 223.6 Tangential 1.4 0 3 3 223.7 Tangential 0.1 0 5 2 224.3 Tangential 0.6 2 6 0 225.3 Tangential 1.0 0 6 1 228.8 Tangential 3.5 7 4 0 232.1 Tangential 3.3 3 6 0 232.6 Tangential 0.5 8 3 0 233.3 Tangential 0.8 5 0 3 233.6 Tangential 0.3 9 1 0 234.5 Tangential 0.9 6 5 0 239.3 Tangential 4.8 9 0 1 240.6 Tangential 1.3 4 6 0 242.3 Tangential 1.7 9 2 0 242.9 Tangential 0.6 8 0 2 243.5 Tangential 0.6 0 4 3 243.7 Tangential 0.2 6 0 3 248.7 Tangential 5.0 8 4 0 252.6 Tangential 3.9 5 6 0 254.3 Tangential 1.8 0 6 2 255.0 Tangential 0.6 9 3 0 256.3 Tangential 1.3 7 5 0 256.7 Tangential 0.4 1 7 0 257.2 Tangential 0.5 2 7 0 261.1 Tangential 3.8 1 0 4 261.2 Tangential 0.1 0 1 4 262.5 Tangential 1.3

0 7 1 264.1 Tangential 1.6 2 0 4 265.0 Tangential 0.9 7 0 3 265.5 Tangential 0.5 9 0 2 265.6 Tangential 0.2 0 5 3 267.3 Tangential 1.6 3 7 0 267.3 Tangential 0.1 6 6 0 268.3 Tangential 1.0 0 2 4 270.0 Tangential 1.7 3 0 4 271.2 Tangential 1.1 9 4 0 274.0 Tangential 2.8 8 5 0 275.4 Tangential 1.4 4 7 0 275.9 Tangential 0.5 4 0 4 279.6 Tangential 3.7 0 3 4 282.1 Tangential 2.5 8 0 3 283.6 Tangential 1.4 7 6 0 283.9 Tangential 0.3 5 7 0 286.5 Tangential 2.6 0 7 2 287.1 Tangential 0.6 5 0 4 290.1 Tangential 3.0 0 6 3 293.5 Tangential 3.4 1 8 0 293.6 Tangential 0.1 9 5 0 295.1 Tangential 1.5 2 8 0 297.0 Tangential 1.9 0 4 4 298.3 Tangential 1.3 6 7 0 298.9 Tangential 0.7 0 8 1 299.6 Tangential 0.7 8 6 0 300.9 Tangential 1.3 6 0 4 302.4 Tangential 1.5 3 8 0 302.5 Tangential 0.2 9 0 3 302.8 Tangential 0.3 4 8 0 310.1 Tangential 7.3 7 7 0 313.0 Tangential 2.9 7 0 4 316.3 Tangential 3.3 0 5 4 317.8 Tangential 1.5 9 6 0 319.1 Tangential 1.3 5 8 0 319.6 Tangential 0.5 0 8 2 320.1 Tangential 0.5 0 7 3 321.7 Tangential 1.7 1 0 5 325.9 Tangential 4.2 0 1 5 327.0 Tangential 1.0 8 7 0 328.5 Tangential 1.5 2 0 5 329.0 Tangential 0.5 1 9 0 330.1 Tangential 1.1 6 8 0 330.8 Tangential 0.7 8 0 4 331.6 Tangential 0.9 0 2 5 333.1 Tangential 1.4

2 9 0 333.1 Tangential 0.0 3 0 5 334.0 Tangential 0.9 0 9 1 335.4 Tangential 1.4 3 9 0 338.0 Tangential 2.6 0 6 4 340.1 Tangential 2.1 4 0 5 340.9 Tangential 0.7 0 3 5 342.9 Tangential 2.1 7 8 0 343.6 Tangential 0.6 4 9 0 344.8 Tangential 1.2 9 7 0 345.2 Tangential 0.4 9 0 4 348.2 Tangential 3.0 5 0 5 349.5 Tangential 1.3 0 8 3 351.5 Tangential 2.0 5 9 0 353.3 Tangential 1.8 0 9 2 353.8 Tangential 0.5 0 4 5 356.3 Tangential 2.5 8 8 0 357.7 Tangential 1.4 6 0 5 359.8 Tangential 2.0 6 9 0 363.5 Tangential 3.7 0 7 4 364.8 Tangential 1.3 7 0 5 371.5 Tangential 6.8 0 5 5 372.8 Tangential 1.3 9 8 0 373.1 Tangential 0.3 7 9 0 375.2 Tangential 2.0 0 9 3 382.5 Tangential 7.3 8 0 5 384.7 Tangential 2.2 8 9 0 388.2 Tangential 3.5 1 0 6 390.8 Tangential 2.6 0 8 4 391.3 Tangential0 1 6 391.6 Tangential0 6 5 392.1 Tangential2 0 6 393.3 Tangential0 2 6 396.7 Tangential3 0 6 397.5 Tangential9 0 5 399.1 Tangential9 9 0 402.4 Tangential4 0 6 403.3 Tangential0 3 6 405.0 Tangential5 0 6 410.6 Tangential0 7 5 413.6 Tangential0 4 6 416.4 Tangential0 9 4 419.4 Tangential6 0 6 419.4 Tangential7 0 6 429.5 Tangential0 5 6 430.6 Tangential0 8 5 437.2 Tangential

8 0 6 441.0 Tangential0 6 6 447.4 Tangential9 0 6 453.5 Tangential1 0 7 455.6 Tangential0 1 7 456.4 Tangential2 0 7 457.8 Tangential0 2 7 460.7 Tangential3 0 7 461.4 Tangential0 9 5 462.5 Tangential4 0 7 466.4 Tangential0 7 6 466.4 Tangential0 3 7 467.9 Tangential5 0 7 472.8 Tangential0 4 7 477.8 Tangential6 0 7 480.4 Tangential0 8 6 487.4 Tangential7 0 7 489.3 Tangential0 5 7 490.3 Tangential8 0 7 499.3 Tangential0 6 7 505.0 Tangential0 9 6 510.2 Tangential9 0 7 510.5 Tangential1 0 8 520.5 Tangential0 1 8 521.2 Tangential0 7 7 522.0 Tangential2 0 8 522.4 Tangential0 2 8 525.0 Tangential3 0 8 525.6 Tangential4 0 8 530.0 Tangential0 3 8 531.3 Tangential5 0 8 535.6 Tangential0 4 8 540.1 Tangential0 8 7 540.8 Tangential6 0 8 542.3 Tangential7 0 8 550.2 Tangential0 5 8 551.1 Tangential8 0 8 559.2 Tangential0 9 7 561.4 Tangential0 6 8 564.3 Tangential9 0 8 569.2 Tangential0 7 8 579.5 Tangential1 0 9 585.4 Tangential0 1 9 586.0 Tangential2 0 9 587.1 Tangential0 2 9 589.4 Tangential3 0 9 589.9 Tangential

4 0 9 593.9 Tangential0 3 9 595.1 Tangential0 8 8 596.5 Tangential5 0 9 598.9 Tangential0 4 9 602.9 Tangential6 0 9 604.9 Tangential7 0 9 612.0 Tangential0 5 9 612.8 Tangential0 9 8 615.3 Tangential8 0 9 620.1 Tangential0 6 9 624.7 Tangential9 0 9 629.1 Tangential0 7 9 638.4 Tangential0 8 9 653.9 Tangential0 9 9 671.1 Tangential

Oblique ModesLx = 21.9 nx ny nz f Type SpacingLy = 15.5 1 1 1 78.9 ObliqueLz = 8.7 2 1 1 90.6 Oblique 11.7 c/2 = 565 1 2 1 101.2 Oblique 10.5

3 1 1 107.3 Oblique 6.2 V = 2949 2 2 1 110.5 Oblique 3.2

3 2 1 124.6 Oblique 14.1 4 1 1 127.1 Oblique 2.5 1 3 1 130.1 Oblique 2.9 1 1 2 137.4 Oblique 7.4 2 3 1 137.5 Oblique 0.0 4 2 1 142.0 Oblique 4.5 2 1 2 144.5 Oblique 2.5 5 1 1 148.7 Oblique 4.2 3 3 1 149.1 Oblique 0.3 1 2 2 151.3 Oblique 2.3 3 1 2 155.5 Oblique 4.2 2 2 2 157.8 Oblique 2.2 5 2 1 161.7 Oblique 3.9 1 4 1 162.1 Oblique 0.4 4 3 1 163.9 Oblique 1.8 3 2 2 167.9 Oblique 4.1 2 4 1 168.1 Oblique 0.2 4 1 2 169.8 Oblique 1.7 6 1 1 171.5 Oblique 1.7 1 3 2 172.0 Oblique 0.5 2 3 2 177.7 Oblique 5.7 3 4 1 177.7 Oblique 0.0 5 3 1 181.2 Oblique 3.5 4 2 2 181.2 Oblique 0.1 6 2 1 182.8 Oblique 1.6 5 1 2 186.5 Oblique 3.7 3 3 2 186.8 Oblique 0.2 4 4 1 190.3 Oblique 3.5 7 1 1 195.0 Oblique 4.7 1 5 1 195.7 Oblique 0.7 5 2 2 197.0 Oblique 1.3 1 4 2 197.3 Oblique 0.4 4 3 2 198.8 Oblique 1.5 1 1 3 200.0 Oblique 1.2 6 3 1 200.3 Oblique 0.3 2 5 1 200.7 Oblique 0.5 2 4 2 202.3 Oblique 1.6 2 1 3 204.9 Oblique 2.6 7 2 1 205.0 Oblique 0.1

6 1 2 205.1 Oblique 0.1 5 4 1 205.4 Oblique 0.2 3 5 1 208.8 Oblique 3.5 1 2 3 209.8 Oblique 1.0 3 4 2 210.3 Oblique 0.5 3 1 3 212.9 Oblique 2.5 5 3 2 213.3 Oblique 0.4 2 2 3 214.5 Oblique 1.2 6 2 2 214.7 Oblique 0.2 8 1 1 219.0 Oblique 4.3 4 5 1 219.7 Oblique 0.6 7 3 1 220.7 Oblique 1.1 4 4 2 221.1 Oblique 0.4 3 2 3 222.1 Oblique 1.0 6 4 1 222.4 Oblique 0.3 4 1 3 223.5 Oblique 1.1 7 1 2 225.2 Oblique 1.7 1 3 3 225.2 Oblique 0.0 1 5 2 225.8 Oblique 0.6 8 2 1 228.0 Oblique 2.2 2 3 3 229.5 Oblique 1.6 6 3 2 229.7 Oblique 0.2 2 5 2 230.1 Oblique 0.4 1 6 1 230.2 Oblique 0.1 4 2 3 232.3 Oblique 2.0 5 5 1 232.8 Oblique 0.5 7 2 2 233.9 Oblique 1.1 5 4 2 234.2 Oblique 0.3 2 6 1 234.5 Oblique 0.3 5 1 3 236.5 Oblique 1.9 3 3 3 236.7 Oblique 0.2 3 5 2 237.2 Oblique 0.6 7 4 1 241.0 Oblique 3.8 3 6 1 241.5 Oblique 0.5 8 3 1 242.2 Oblique 0.7 9 1 1 243.4 Oblique 1.2 5 2 3 244.8 Oblique 1.4 1 4 3 245.1 Oblique 0.3 8 1 2 246.2 Oblique 1.2 4 3 3 246.3 Oblique 0.0 4 5 2 246.8 Oblique 0.6 7 3 2 247.8 Oblique 1.0 6 5 1 248.0 Oblique 0.2 2 4 3 249.1 Oblique 1.1 6 4 2 249.3 Oblique 0.2 4 6 1 250.9 Oblique 1.6





1 7 4 365.7 Oblique 0.4 4 8 3 366.3 Oblique 0.6 5 3 5 366.3 Oblique 0.0 6 2 5 367.1 Oblique 0.8 7 8 2 367.3 Oblique 0.2 2 7 4 368.4 Oblique 1.1 4 9 2 368.5 Oblique 0.1 7 7 3 368.8 Oblique 0.3 9 7 2 368.9 Oblique 0.1 6 9 1 369.3 Oblique 0.4 4 4 5 370.9 Oblique 1.6 3 7 4 372.9 Oblique 2.0 7 1 5 373.3 Oblique 0.5 6 6 4 373.6 Oblique 0.2 1 5 5 373.7 Oblique 0.1 9 6 3 373.9 Oblique 0.2 5 8 3 374.3 Oblique 0.4 6 3 5 376.1 Oblique 1.8 2 5 5 376.4 Oblique 0.2 5 9 2 376.5 Oblique 0.1 9 4 4 377.7 Oblique 1.2 7 2 5 378.7 Oblique 1.0 8 5 4 378.7 Oblique 0.0 9 8 1 378.8 Oblique 0.1 5 4 5 378.9 Oblique 0.1 4 7 4 379.0 Oblique 0.2 8 8 2 380.6 Oblique 1.6 3 5 5 380.7 Oblique 0.1 7 9 1 380.8 Oblique 0.0 8 7 3 382.0 Oblique 1.2 1 9 3 383.3 Oblique 1.4 6 8 3 384.0 Oblique 0.6 7 6 4 384.9 Oblique 1.0 2 9 3 385.9 Oblique 1.0 6 9 2 386.0 Oblique 0.1 8 1 5 386.4 Oblique 0.4 4 5 5 386.8 Oblique5 7 4 386.8 Oblique7 3 5 387.4 Oblique6 4 5 388.4 Oblique3 9 3 390.2 Oblique8 2 5 391.6 Oblique1 8 4 392.2 Oblique1 1 6 392.5 Oblique1 6 5 392.9 Oblique9 5 4 393.3 Oblique

8 9 1 393.6 Oblique5 5 5 394.4 Oblique2 8 4 394.7 Oblique2 1 6 395.0 Oblique7 8 3 395.0 Oblique9 8 2 395.1 Oblique2 6 5 395.4 Oblique4 9 3 396.1 Oblique6 7 4 396.1 Oblique9 7 3 396.5 Oblique7 9 2 397.0 Oblique1 2 6 397.5 Oblique8 6 4 397.6 Oblique3 8 4 398.9 Oblique3 1 6 399.2 Oblique7 4 5 399.3 Oblique3 6 5 399.6 Oblique8 3 5 400.0 Oblique2 2 6 400.0 Oblique9 1 5 400.7 Oblique6 5 5 403.6 Oblique5 9 3 403.6 Oblique3 2 6 404.2 Oblique4 8 4 404.6 Oblique4 1 6 404.9 Oblique4 6 5 405.3 Oblique9 2 5 405.7 Oblique1 3 6 405.9 Oblique7 7 4 406.9 Oblique8 8 3 407.4 Oblique9 9 1 407.7 Oblique2 3 6 408.3 Oblique8 9 2 409.4 Oblique4 2 6 409.9 Oblique9 6 4 411.5 Oblique8 4 5 411.6 Oblique5 8 4 411.9 Oblique5 1 6 412.2 Oblique3 3 6 412.3 Oblique6 9 3 412.5 Oblique5 6 5 412.6 Oblique9 3 5 413.9 Oblique7 5 5 414.1 Oblique1 7 5 414.4 Oblique2 7 5 416.8 Oblique5 2 6 417.1 Oblique








5 6 9 637.8 Oblique9 3 9 638.6 Oblique7 5 9 638.7 Oblique1 7 9 638.9 Oblique9 8 8 639.9 Oblique2 7 9 640.5 Oblique7 9 8 641.1 Oblique3 7 9 643.1 Oblique6 6 9 643.5 Oblique9 4 9 645.9 Oblique8 5 9 646.5 Oblique4 7 9 646.7 Oblique8 9 8 648.8 Oblique7 6 9 650.1 Oblique5 7 9 651.3 Oblique1 8 9 654.4 Oblique9 5 9 655.1 Oblique2 8 9 656.0 Oblique6 7 9 656.8 Oblique9 9 8 657.4 Oblique8 6 9 657.7 Oblique3 8 9 658.5 Oblique4 8 9 662.0 Oblique7 7 9 663.4 Oblique9 6 9 666.2 Oblique5 8 9 666.5 Oblique8 7 9 670.8 Oblique1 9 9 671.6 Oblique6 8 9 671.9 Oblique2 9 9 673.1 Oblique3 9 9 675.5 Oblique7 8 9 678.3 Oblique4 9 9 678.9 Oblique9 7 9 679.2 Oblique5 9 9 683.3 Oblique8 8 9 685.6 Oblique6 9 9 688.6 Oblique9 8 9 693.8 Oblique7 9 9 694.9 Oblique8 9 9 702.0 Oblique9 9 9 710.0 Oblique

16 20 25 31.5 40 50 63Actual 0 0 1 0 1 2 3Ideal 0 0 1 1 1 2

1 2 3 4 5 6 7 8 9 10 11 12 1305

101520253035404550556065707580859095

100105110115


Actual Ideal


Num

ber o

f Mod

es

80 100 125 160 200 2507 11 17 34 67 1103 7 11 17 34 67

1 2 3 4 5 6 7 8 9 10 11 12 1305

101520253035404550556065707580859095

100105110115


Actual Ideal


Num

ber o

f Mod

es

1 2 3 4 5 6 7 8 9 10 11 12 1305

101520253035404550556065707580859095

100105110115


Actual Ideal


Num

ber o

f Mod

es

Ideal Room Dimensions for Low Frequency Mode Response"IDEAL"

RATIO TABLE

Height Width LengthA 1 1.14 1.39B 1 1.28 1.54C 1 1.6 2.33D 1 1.4 1.9E 1 1.3 1.9F 1 1.5 2.5G 1 1.26 1.59

In the yellow boxes - Enter the room height in meters & the spreadsheet will automatically calculate ideal widths and depthsMinimum size

METRIC 42 cubic meters Useable YES Useable NOLegend -> 1 0

**Note: you can change the numbers in the yellow blocks and all the other ratios will change too!

Table AHEIGHT m HEIGHT cm WIDTH cm DEPTH cm VOLUME

2.5 250.00 285.00 347.50 24.762.75 275.00 313.50 382.25 32.95

3 300.00 342.00 417.00 42.783.25 325.00 370.50 451.75 54.403.5 350.00 399.00 486.50 67.94

3.75 375.00 427.50 521.25 83.564 400.00 456.00 556.00 101.41

4.25 425.00 484.50 590.75 121.644.5 450.00 513.00 625.50 144.40

4.75 475.00 541.50 660.25 169.825 500.00 570.00 695.00 198.08

5.25 525.00 598.50 729.75 229.305.5 550.00 627.00 764.50 263.64

5.75 575.00 655.50 799.25 301.256 600.00 684.00 834.00 342.27

Table B HEIGHT cm WIDTH cm DEPTH cm VOLUME

Dimensions

2.5 250.00 320.00 385.00 30.802.75 275.00 352.00 423.50 40.99

3 300.00 384.00 462.00 53.223.25 325.00 416.00 500.50 67.673.5 350.00 448.00 539.00 84.52

3.75 375.00 480.00 577.50 103.954 400.00 512.00 616.00 126.16

4.25 425.00 544.00 654.50 151.324.5 450.00 576.00 693.00 179.63

4.75 475.00 608.00 731.50 211.265 500.00 640.00 770.00 246.40

5.25 525.00 672.00 808.50 285.245.5 550.00 704.00 847.00 327.96

5.75 575.00 736.00 885.50 374.746 600.00 768.00 924.00 425.78

Table C HEIGHT cm WIDTH cm DEPTH cm VOLUME2.5 250.00 400.00 582.50 58.25

2.75 275.00 440.00 640.75 77.533 300.00 480.00 699.00 100.66

3.25 325.00 520.00 757.25 127.983.5 350.00 560.00 815.50 159.84

3.75 375.00 600.00 873.75 196.594 400.00 640.00 932.00 238.59

4.25 425.00 680.00 990.25 286.184.5 450.00 720.00 1048.50 339.71

4.75 475.00 760.00 1106.75 399.545 500.00 800.00 1165.00 466.00

5.25 525.00 840.00 1223.25 539.455.5 550.00 880.00 1281.50 620.25

5.75 575.00 920.00 1339.75 708.736 600.00 960.00 1398.00 805.25

Table D HEIGHT cm WIDTH cm DEPTH cm VOLUME2.5 250.00 350.00 475.00 41.56

2.75 275.00 385.00 522.50 55.323 300.00 420.00 570.00 71.82

3.25 325.00 455.00 617.50 91.313.5 350.00 490.00 665.00 114.05

3.75 375.00 525.00 712.50 140.27

4 400.00 560.00 760.00 170.244.25 425.00 595.00 807.50 204.204.5 450.00 630.00 855.00 242.39

4.75 475.00 665.00 902.50 285.085 500.00 700.00 950.00 332.50

5.25 525.00 735.00 997.50 384.915.5 550.00 770.00 1045.00 442.56

5.75 575.00 805.00 1092.50 505.696 600.00 840.00 1140.00 574.56

Table E HEIGHT cm WIDTH cm DEPTH cm VOLUME2.5 250.00 325.00 475.00 38.59

2.75 275.00 357.50 522.50 51.373 300.00 390.00 570.00 66.69

3.25 325.00 422.50 617.50 84.793.5 350.00 455.00 665.00 105.90

3.75 375.00 487.50 712.50 130.254 400.00 520.00 760.00 158.08

4.25 425.00 552.50 807.50 189.614.5 450.00 585.00 855.00 225.08

4.75 475.00 617.50 902.50 264.715 500.00 650.00 950.00 308.75

5.25 525.00 682.50 997.50 357.425.5 550.00 715.00 1045.00 410.95

5.75 575.00 747.50 1092.50 469.576 600.00 780.00 1140.00 533.52

Table F HEIGHT cm WIDTH cm DEPTH cm VOLUME2.5 250.00 375.00 625.00 58.59

2.75 275.00 412.50 687.50 77.993 300.00 450.00 750.00 101.25

3.25 325.00 487.50 812.50 128.733.5 350.00 525.00 875.00 160.78

3.75 375.00 562.50 937.50 197.754 400.00 600.00 1000.00 240.00

4.25 425.00 637.50 1062.50 287.874.5 450.00 675.00 1125.00 341.72

4.75 475.00 712.50 1187.50 401.895 500.00 750.00 1250.00 468.75

5.25 525.00 787.50 1312.50 542.64

5.5 550.00 825.00 1375.00 623.915.75 575.00 862.50 1437.50 712.91

6 600.00 900.00 1500.00 810.00Table G HEIGHT cm WIDTH cm DEPTH cm VOLUME

2.5 250.00 315.00 397.50 31.302.75 275.00 346.50 437.25 41.66

3 300.00 378.00 477.00 54.093.25 325.00 409.50 516.75 68.773.5 350.00 441.00 556.50 85.90

3.75 375.00 472.50 596.25 105.654 400.00 504.00 636.00 128.22

4.25 425.00 535.50 675.75 153.794.5 450.00 567.00 715.50 182.56

4.75 475.00 598.50 755.25 214.715 500.00 630.00 795.00 250.43

5.25 525.00 661.50 834.75 289.905.5 550.00 693.00 874.50 333.32

5.75 575.00 724.50 914.25 380.876 600.00 756.00 954.00 432.73

Ideal Room Dimensions for Low Frequency Mode Response

Wave Region

In the yellow boxes - Enter the room height in meters & the spreadsheet will automatically calculate ideal widths and depths

**Note: you can change the numbers in the yellow blocks and all the other ratios will change too!

USEABLE?TABLE 1=Yes 0=NOSquare Meters F¹

cu meters A 0 9.90 49.56cu meters A 0 11.98 45.05cu meters A 1 14.26 41.30cu meters A 1 16.74 38.12cu meters A 1 19.41 35.40cu meters A 1 22.28 33.04cu meters A 1 25.35 30.97cu meters A 1 28.62 29.15cu meters A 1 32.09 27.53cu meters A 1 35.75 26.08cu meters A 1 39.62 24.78cu meters A 1 43.68 23.60cu meters A 1 47.93 22.53cu meters A 1 52.39 21.55cu meters A 1 57.05 20.65

TABLE 1=Yes 0=NOSquare Meters F¹

cu meters B 0 12.32 44.73cu meters B 0 14.91 40.66cu meters B 1 17.74 37.28cu meters B 1 20.82 34.41cu meters B 1 24.15 31.95cu meters B 1 27.72 29.82cu meters B 1 31.54 27.96cu meters B 1 35.60 26.31cu meters B 1 39.92 24.85cu meters B 1 44.48 23.54cu meters B 1 49.28 22.37cu meters B 1 54.33 21.30cu meters B 1 59.63 20.33cu meters B 1 65.17 19.45cu meters B 1 70.96 18.64

TABLE 1=Yes 0=NOSquare Meters F¹cu meters C 1 23.30 29.56cu meters C 1 28.19 26.88cu meters C 1 33.55 24.64cu meters C 1 39.38 22.74cu meters C 1 45.67 21.12cu meters C 1 52.43 19.71cu meters C 1 59.65 18.48cu meters C 1 67.34 17.39cu meters C 1 75.49 16.42cu meters C 1 84.11 15.56cu meters C 1 93.20 14.78cu meters C 1 102.75 14.08cu meters C 1 112.77 13.44cu meters C 1 123.26 12.85cu meters C 1 134.21 12.32

TABLE 1=Yes 0=NOSquare Meters F¹cu meters D 0 16.63 36.26cu meters D 1 20.12 32.96cu meters D 1 23.94 30.21cu meters D 1 28.10 27.89cu meters D 1 32.59 25.90cu meters D 1 37.41 24.17

cu meters D 1 42.56 22.66cu meters D 1 48.05 21.33cu meters D 1 53.87 20.14cu meters D 1 60.02 19.08cu meters D 1 66.50 18.13cu meters D 1 73.32 17.26cu meters D 1 80.47 16.48cu meters D 1 87.95 15.76cu meters D 1 95.76 15.11

TABLE 1=Yes 0=NOSquare Meters F¹cu meters E 0 15.44 36.26cu meters E 1 18.68 32.96cu meters E 1 22.23 30.21cu meters E 1 26.09 27.89cu meters E 1 30.26 25.90cu meters E 1 34.73 24.17cu meters E 1 39.52 22.66cu meters E 1 44.61 21.33cu meters E 1 50.02 20.14cu meters E 1 55.73 19.08cu meters E 1 61.75 18.13cu meters E 1 68.08 17.26cu meters E 1 74.72 16.48cu meters E 1 81.66 15.76cu meters E 1 88.92 15.11

TABLE 1=Yes 0=NOSquare Meters F¹cu meters F 1 23.44 27.55cu meters F 1 28.36 25.05cu meters F 1 33.75 22.96cu meters F 1 39.61 21.20cu meters F 1 45.94 19.68cu meters F 1 52.73 18.37cu meters F 1 60.00 17.22cu meters F 1 67.73 16.21cu meters F 1 75.94 15.31cu meters F 1 84.61 14.50cu meters F 1 93.75 13.78cu meters F 1 103.36 13.12

cu meters F 1 113.44 12.52cu meters F 1 123.98 11.98cu meters F 1 135.00 11.48

TABLE 1=Yes 0=NOSquare Meters F¹cu meters G 0 12.52 43.32cu meters G 0 15.15 39.39cu meters G 1 18.03 36.10cu meters G 1 21.16 33.33cu meters G 1 24.54 30.95cu meters G 1 28.17 28.88cu meters G 1 32.05 27.08cu meters G 1 36.19 25.48cu meters G 1 40.57 24.07cu meters G 1 45.20 22.80cu meters G 1 50.09 21.66cu meters G 1 55.22 20.63cu meters G 1 60.60 19.69cu meters G 1 66.24 18.84cu meters G 1 72.12 18.05

Sonic Behavior Characteristics

Transitional region from F² tRay Region

F² F³ RT60269.02 1076.09 0.5233.19 932.74 0.5204.65 818.61 0.5181.50 726.00 0.5162.40 649.62 0.5146.44 585.75 0.5132.93 531.70 0.5121.37 485.49 0.5111.40 445.60 0.5102.72 410.88 0.5

95.11 380.46 0.588.40 353.61 0.582.44 329.77 0.577.13 308.50 0.572.36 289.42 0.5

F² F³ RT60

241.20 964.82 0.5209.07 836.29 0.5183.49 733.96 0.5162.73 650.92 0.5145.61 582.44 0.5131.29 525.18 0.5119.18 476.72 0.5108.82 435.28 0.5

99.88 399.52 0.592.10 368.40 0.585.28 341.11 0.579.26 317.04 0.573.92 295.67 0.569.15 276.60 0.564.87 259.49 0.5

F² F³ RT60175.39 701.57 0.5152.03 608.11 0.5133.43 533.70 0.5118.33 473.32 0.5105.88 423.53 0.5

95.47 381.89 0.586.66 346.65 0.579.13 316.52 0.572.63 290.51 0.566.97 267.88 0.562.01 248.04 0.557.63 230.54 0.553.75 215.00 0.550.28 201.13 0.547.17 188.69 0.5

F² F³ RT60207.64 830.56 0.5179.98 719.91 0.5157.96 631.83 0.5140.09 560.34 0.5125.35 501.39 0.5113.02 452.10 0.5

102.60 410.38 0.593.68 374.71 0.585.98 343.92 0.579.28 317.13 0.573.41 293.65 0.568.23 272.92 0.563.63 254.53 0.559.53 238.11 0.555.85 223.38 0.5

F² F³ RT60215.48 861.91 0.5186.77 747.09 0.5163.92 655.68 0.5145.37 581.50 0.5130.08 520.32 0.5117.29 469.16 0.5106.47 425.87 0.5

97.21 388.86 0.589.23 356.91 0.582.28 329.10 0.576.18 304.73 0.570.81 283.23 0.566.03 264.14 0.561.77 247.10 0.557.95 231.82 0.5

F² F³ RT60174.88 699.51 0.5151.58 606.32 0.5133.03 532.14 0.5117.98 471.93 0.5105.57 422.28 0.5

95.19 380.77 0.586.41 345.63 0.578.90 315.59 0.572.41 289.66 0.566.77 267.09 0.561.83 247.31 0.557.47 229.86 0.5

53.59 214.37 0.550.14 200.54 0.547.03 188.14 0.5

F² F³ RT60239.26 957.03 0.5207.38 829.54 0.5182.01 728.04 0.5161.42 645.67 0.5144.44 577.74 0.5130.24 520.94 0.5118.22 472.87 0.5107.94 431.77 0.5

99.07 396.29 0.591.36 365.42 0.584.59 338.36 0.578.62 314.48 0.573.32 293.29 0.568.59 274.37 0.564.35 257.40 0.5

Documents

Room Mode Calculator Metric