Room modes calculator calculate 3 modes - recangular room control room - sengpielaudio
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Room Modes - Standing Wave  Calculator

Calculating the three room modes of
rectangular rooms

Axial Oblique Tangential

axial                          tangential                          oblique

The axial, tangential, and oblique room modes of rectangular homogeneous rooms are computed. Axial room modes hit on two facing surfaces. Tangential room modes hit on four surfaces and oblique room modes include six surfaces crosswise. Thus one can find the optimal room dimensions for home cinemas, control rooms, sound studios, and exercise rooms. The distribution of the modal frequencies should be as homogeneous as possible. Only low frequencies up to 300 cycles per second are to be regarded. Higher modal frequencies lose their meaning, because the interfering effect is covered by other room acoustic effects.

Theory is good, but it shows up: The empty room can be computed marvelously, but afterwards the brought in mixer, the couch, the cabinets, the racks and the shelves for the effect devices destroy the nice computations. So is practice.

room length L
m

room width B
m

room height H
m


Axial room modes

Axial Modes - Involve two parallel surfaces - opposite parallel walls, or the floor and ceiling. These are the strongest modes.

Axial room modes

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Tangential room modes

Tangential Modes - Involve two sets of parallel surfaces - all four walls, or two walls the ceiling and the floor. These are about half as strong (energy) as the axial modes (−3 dB).

Tangential Room modes

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To calculate the frequencies of the axial, oblique und tangential modes, we use the following formula:
f = \frac{c}{2} \sqrt{\left(\frac{n_x}{L}\right)^2 + \left(\frac{n_y}{B}\right)^2 + \left(\frac{n_y}{H}\right)^2}

f = Frequency of the mode in Hz
c = Speed of sound 343 m/s at 20 °C (68 °F)
nx = Order of the mode of the room length
ny = Order of the mode of the room width
nz = Order of the mode of the room height
L, B, H = Length, width, and height of the room in meters


Oblique room modes

Oblique Modes - Involve all six surfaces - four walls, the ceiling and the floor. These are about one quarter as strong (energy) as the axial modes, and half as strong as the tangential modes (−6 dB). Oblique modes are rarely, if ever, relevant.

Oblique room modes

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The number of modes per frequency width Δ f and even more per frequency interval of Δf/f increases with rising frequency. Problems with inhomogeneities through in the spectrum clearly separated natural oscillations arise thus particularly in small rooms and low frequencies. Eigenoscillations arise not only in rectangular rooms, but also in skew rooms. They can be determined there however no longer as simply as here computed, but must be calculated by numeric procedures. An even mode distribution over the frequencies can be reached only by favorable room proportions, especially the eigenfrequencies of different room dimensions should not fall together. Favorable distributions result for proportions (standardized H = 1 on the height) like: (H/B/L).

1  -  1.14  -  1.39  or  1  -  1.28  -  1.54  or  1  -  1.60  -  2.33

There is no (!) room correction by setting EQ.

The notion of using EQ to fix bad room response is mostly misguided. In some cases EQ can help only "a little" to tame modal peaks at the very lowest frequencies. But most low frequency response errors are highly position dependent, and include nulls as deep as 30 dB. So any EQ correction will help only one very specific place in the room, and will by definition make other places worse. Even a foot away the response can be very different. And EQ does nothing for other acoustic problems like first reflections, flutter echo, modal ringing, and so forth.

You are doing only loudspeaker frequency response correction.


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