Room modes caused by omnidirectional speakers

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The picture below shows a woofer in the lower left corner of a room. There will be standing waves along the black lines whereas along the blue lines the reflected waves will be sufficiently attenuated to inhibit resonance.

If additionally the wall is damped where the black lines end, this room will exhibit little sound coloring due to room modes. A bass boost that may be caused by the corner the woofer is placed in can be equalized electronically.

Opinions?
 

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Yuihb said:
The picture below shows a woofer in the lower left corner of a room. There will be standing waves along the black lines whereas along the blue lines the reflected waves will be sufficiently attenuated to inhibit resonance.

If additionally the wall is damped where the black lines end, this room will exhibit little sound coloring due to room modes. A bass boost that may be caused by the corner the woofer is placed in can be equalized electronically.

Opinions?

I'm sorry but I can't agree with any of your surmisations.

Its impossible to damp a wall at the bass frequencies described,
however bass traps can be used for a particular frequency.

Your modeling is very simplistic. Basically a spherical wave
front will resolve into parallel wave fronts traveling along the
dimensions for the basic room modes and their harmonics.

More complex modes that are not parallel to walls can be
deduced from the diagonals, for two walls the hypotenuse
formed, for all three walls the bottom corner to far top corner
dimensions. These modes also have harmonics.

Damping of the lower frequency modes is low in most rooms,
consequently excitation of modes is unavoidable. For smooth
excitation of these modes nice room dimensions are required
with placement of the sub-woofer ideally 1/3 along the main
diagonal. This is generally impractical, and usually 1/3 along
the floor diagonal is also difficult - leading to the standard
recommendation for one sub of 1/3 along one of the walls.

🙂 sreten.
 
Room modes - some facts

YOU WROTE, and I disagree with:
" For smooth excitation of these modes nice room dimensions are required with placement of the sub-woofer ideally 1/3 along the main diagonal. This is generally impractical, and usually 1/3 along
the floor diagonal is also difficult - leading to the standard
recommendation for one sub of 1/3 along one of the walls."

RG comments:
Room dimensions have nothing to do with how smoothly
(I assume you mean "evenly") room modes are excited.

Room dimensions do determine whether a listening room has "stacked" (same center frequency, as in a square room) or "adjacent" room modes (nearby center frequencies,
as in a near-square room). But the room mode center frequencies have nothing to do with how strongly each room mode is excited by a specific subwoofer location.

Subwoofer location is the key to how strongly room modes are excited (or not excited at all)

A corner subwoofer in a rectangular room, for example,
would evenly (fully) excite all room modes ... however that's no guarantee the sub-80Hz. bass will sound good at the listening seat.

There is no ideal subwoofer placement in most rooms.

Subwoofer(s) placed close to one (or both) of the main speakers will integrate best ... and this also prevents phase problems.

The bass frequency response will be uneven, primarily due to room modes, no matter where you place a subwoofer (or two).
In my experience (and measurements) since 1980, this statement applies to about nine out of ten home listening rooms.

----------1/3 of the distance between opposing walls?
- There is no particular advantage to "1/3" Rules of Thumb for subwoofers (unless you have bass frequency response data from a number of rooms to prove me wrong.)

The "Rule of Thirds" does work well for main speaker placement because odd fractions (such as 1/3 or 1/5) of the distance between opposing walls avoids placing speakers in room mode nulls.

For subwoofers, however, placing the subwoofer in or near a particular room mode null is a no-cost method to prevent,
or at least reduce, a bass peak caused by that room mode.

In a typical rectangular listening room, here's what a listener located half way betwwen the side walls is likely to hear (axial room modes only -- and these generalizations are no substitute for bass frequency response measurements -- see linkwitzlabs.com for bass test CD):

--- Front-wall-to-back-wall first-order axial room mode
A bass peak is likely to be audible ... although perhaps at such a low frequency in rooms over 25 feet long that it's rarely excited by the program content (and the speakers may have significant roll-off at that low frequency so it may not be a problem even if the room mode frequency is frequently excited by the music)

--- Front-wall-to-back-wall second-order axial room mode
A bass peak is likely to be audible ... but can be reduced by placing the subwoofer at or near the 1/4 point and/or your ears at or near the 3/4 point between the walls.

--- Side-wall-to-side-wall first-order axial room mode:
A bass null is likely to be audible (nulls tend to be easier to overlook/ignore than bass peaks)
Left-right speakers or left-right subwoofers will be out of polarity for this room mode so will not excite it, assuming mono bass typical of two-channel recordings. Also, the typical two-channel listening seat located 1/2 way between the side walls will place the ears in or near a null for this room mode. That means the bass frequency response is likely to be weak at this room mode frequency and would be smoother if one uses one subwoofer located off center, or two subwoofers located on the same side of the room to excite this room mode.

--- Side-wall-to-side-wall second-order axial room mode:
A bass peak is likely to be audible:
Placing speakers or subwoofer(s) in or near the null at 1/4 or 3/4 of the distance between the side walls will reduce excitation of this room mode. The high pressure zone for this room mode is 1/2 way between the side walls where your ears are likely to be located for two-channel stereo = this mode will result in an audible bass peak if it is strongly excited.

--- Floor-to-ceiling first-order axial room mode:
A bass peak is likely to be audible -- this bass peak is so common that many audiophiles are used to it and don't notice it ... until it's eliminated with parametric EQ. Subwoofers are almost always placed on the floor where they strongly excite this room mode. The null is approximately 1/2 way between the floor and ceiling which is well above where your ears are going to be located ... unless you are about 8 feet tall


Background:
- Room mode nulls at approximately 1/4 of the distance between opposing walls: Subwoofer driver placement in a null located at or near "1/4" (or 3/4) of the distance between opposing walls can be used to reduce excitation of second-order front-wall-to-back-wall and second-order side-wall-to-side-wall axial room modes, assuming those room modes would otherwise cause a bass peak at your listening position.

Once again, the subwoofer should be located near one of the main speakers with it's driver approximately the same distance from your ears as the bass and midrange drivers in the main speakers, so integration is seamless. The attack of bass notes
(pluck of bass guitar string and slap of kick drum hammer are in the mid-range frequencies and do not come from the subwoofer. The transient response will be best if all the drivers involved with a bass note are located the same distance from your ears.
Many people will not notice a difference of up to three milliseconds
(approximately three feet).

Lots of bass traps and/or parametric EQ are more effective in reducing bass peaks heard at the listening position, but subwoofer placement can help with a few of the five or six axial room modes under 80Hz. in the typical home listening room ...
for cheapskates.
 
Re: Room modes - some facts

Richard Greene said:
YOU WROTE, and I disagree with:
" For smooth excitation of these modes nice room dimensions are required with placement of the sub-woofer ideally 1/3 along the main diagonal. This is generally impractical, and usually 1/3 along
the floor diagonal is also difficult - leading to the standard
recommendation for one sub of 1/3 along one of the walls."

RG comments:
Room dimensions have nothing to do with how smoothly
(I assume you mean "evenly") room modes are excited.

etc.........


Pedantically you are correct, but you also know what I meant -
for the smoothest room response good dimensions are required.

I disagree that the point of sub woofer placement is to place
it in a null position to cancel a mode - unless the room has bad
dimensions (causing stacking) and then it is completely valid.

If the room has good dimensions then even excitation of modes,
and specifically avoiding any null dips is the point of placement.
(Nulling a mode causes exaggeration of a higher mode)

Subwoofer location is the key to how strongly room modes are excited (or not excited at all)

We completely agree on this, given we are talking low modes.

I generally agree with your other observations in terms of
cause and effect but again disagree than subwoofer or
listener placement to cause or be in a null is a good thing.
(except to deal with bad room dimensions)

In the absence of any further information and the acceptible
postioning of a subwoofer 1/4 to 1/3 along a wall is a good
place to start as any.

For most situations this is the only range of adjustment
acceptable to most people. And better than the corner.

🙂 sreten.
 
Hope I don't have to disagree on EVERY post here !

"Pedantically you are correct, but you also know what I meant -
for the smoothest room response good dimensions are required."

RG:
"Pedantically" ?
Please use four-letter words when insulting me as I was edumacated in NY public skools and don't know what pedantically means. I read your prior post, tried to understand it, and disagreed in writing with it. I disagree even more with your latest post and here's why:

Your words "smoothest room response" are not very relevant for subwoofer bass frequencies because in about nine out of ten home listening rooms, the bass frequency response from monopole non-equalized subwoofers is either bad ...
or very bad when there are stacked or adjacent room modes causing large bass frequency peaks. The words "smooth" and "bass" do not belong in the same sentence to describe most rooms! This even applies to rooms with "golden ratio dimensions" with no stacked modes or adjacent modes ...
and is easily proven with measurements at the listening position using slow sinewave sweeps and the more demanding repeating bass tone bursts.

In some very large rooms, where room modes are much more dense in the critical octave from 40-80Hz. (where the room modes are frequently excited by bass guitar and kick drum fundamentals), our ear's one-third octave smoothing ability
can make well-distributed room modes sound like a reasonably smooth bass frequency response.

In a very large room with good dimensions, the listener also has much more flexibility in where he places his stereo equipment. He doesn't have to sit in the null half way between the side walls -- placing the main speakers a little off center and sitting a little off center to obtain a better bass frequency response is an option in a very large room.
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"I disagree that the point of sub woofer placement is to place
it in a null position to cancel a mode - unless the room has bad
dimensions (causing stacking) and then it is completely valid."

RG:
The main point of subwoofer placement is perfect or near perfect integration with the main speakers.

The second point is a reasonably smooth bass frequency response -- I personally prefer +/-5dB or less which I have never measured in any room that did not have lots of bass traps
(12 to 16 tubular traps filling 2 to 3% of the room's volume in one room) or parametric EQ.

Most rooms are +/-10dB or worse for bass under 80Hz. measured at the listening position using a slow sinewave sweep.

For cheapskates who are unwilling to invest in bass traps and/or parametric EQ (which I believe is a serious mistake as DIY bass traps and many parametric EQs are so cheap), sub placement can be used to reduce excitation of one or two of the axial room modes that would otherwise cause an annoying bass peak at the listening position.
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"... even excitation of modes, and specifically avoiding any null dips is the point of placement. (Nulling a mode causes exaggeration of a higher mode)."

RG:
Well ... a corner subwoofer would evenly excite all room modes but I don't recall you recommending that!

While placing a subwoofer in or near a null would mean it would be in a high pressure zone for the next order room mode one octave higher, that octave higher mode is going to be outside the subwoofer's frequency range (when you address the second order room modes as described in my previous post).
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"I generally agree with your other observations in terms of
cause and effect but again disagree than subwoofer or
listener placement to cause or be in a null is a good thing.
(except to deal with bad room dimensions)"

RG
Using subwoofer position to reduce excitation of a room mode is especially useful for stacked or adjacent room modes.
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"In the absence of any further information and the acceptible
postioning of a subwoofer 1/4 to 1/3 along a wall is a good
place to start as any."

RG:
Well, as you know, I disagree with the 1/3 position as being anything special. The 1/4 position can be useful for a specific room mode in the absense of bass traps and/or parametric EQ, but only if the subwoofer is also close to one of the main speakers.

Experimentation and measurement is the key for a decent bass frequency response along with bass traps and/or parametric EQ
in most rooms ... but the further the sub driver voice coil is located from the main speaker's voice coils, the more likely subwoofer-satellite speaker integration will suffer as a result.
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"For most situations this is the only range of adjustment
acceptable to most people. And better than the corner."

RG:
There's nothing inherently wrong with a subwoofer in a room corner if that happens to be near one of the main speakers.

I personally try to place my main speakers quite far from room corners, but some people are unable to do that (i.e.; they have
a wife to share the room with!)

The change in the bass frequency response as you slide a subwoofer out of a corner is not very large until you approach the
1/4 point between opposing walls where there is a narrow null
(narrower than a subwoofer driver!). Remember that these are very long wavelengths involved under 80Hz (if there is significant output over 80Hz. and male voices can be heard through the
"subwoofer" when all other speakers are turned off, different Rules of Thumb apply to subwoofer placement because the subwoofer's output will be directional and affect the stereo soundstage).

If one happens to be using the Rule of Thirds placement for the main speakers and listening seat as I often do, there's a good chance the subwoofer will end up somewhere near 1/3 of the way between the front and rear wall.

I personally build subwoofers as a hobby and currently use a mono low Qtc sealed subwoofer I built a few years ago:
- 15" Adire Audio Tempest driver
- 48" by 18" tube stuffed with 8 lbs. polyester fill (laying on it's side in my living room believe it or not = nice wifey)
- Onkyo M501 stereo basic amplifier (150 watts to each voice coil)
- Marchand XM9 70Hz. 24dB/octave active crossover
- EPOS ES11 main speakers on 26" Premier stands


The subwoofer is laying on the carpet right next to my left speaker, equalized to within +/-5dB at my listening position using four or five bands of a Behringer Feedback Destroyer (digital 12 band stereo parametric EQ).

This seems like a lot of work to obtain good bass down to 20Hz.
from a sonically invisible subwoofer, but then I'm a BassNut who goes berserk when bass frequency response peaks interfere with my music.:smash:
 
If you like the FBD you'd love using a DEQ2496 for this purpose. The parametric module can nail down any peaks (within reason) and the graphic EQ can tweak the final result within a few DB from 20-80Hz...not to mention seeing the filters visually makes the data-entry a bit easier.
 
RG,

you seem to be ignoring the points where I agree with you,
i.e. null positioning is useful against stacked modes just to
disagree with some of my other points.

Bass traps etc. are distinctly beyond the realm of most people,
and way beyond what the starter of this thread was considering.

Personally I'd go for fullrange speakers any day of the week,
for lots of reasons, mainly freespace positioning and optimum
use of room gain for bass, (which agrees with your positioning
next to the loudspeakers) but for what its worth I agree flat
low bass response is not realistic for "cheapskates", we have
to make the best of rather simplistic measures.

Corner mounting of the subwoofer will maximaly excite the room
modes, which is not condusive to "smoothest" bass, it also causes
deep nulls, a point you neglected to mention.

I don't think this discussion is going anywhere, usually when told
I'm being pedantic, generally on reflection I have to agree, most
of the time it isn't important but sometimes it is.

But to be pendantic "smoothest" can be defined as the the peak
to null ratio, weighted somewhat against the lowest frequencies
influence (as amplitude errors higher in frequency are more
audible), and the position that gives that, the actual dB ratio is
irrelevant. The Db ratio's can be improved by traps for specific
frequencies which may allow more convenient positioning.

🙂 sreten.
 
I agree with everything ... except

you seem to be ignoring the points where I agree with you,
i.e. null positioning is useful against stacked modes just to
disagree with some of my other points.

RG
Sorry that I focused on disagreements as we had many points to agree on, including most of your post I'm now reponding to.

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Corner mounting of the subwoofer will maximaly excite the room
modes, which is not condusive to "smoothest" bass, it also causes deep nulls, a point you neglected to mention.

RG:
In a 24 foot long room, for example, peaks and nulls measure almost the same whether the sub is "in the corner" or 3 feet from the corner.

It isn't until you approach 1/4 of the distance between the front and rear walls (6 feet) with the subwoofer that differences versus a corner subwoofer are likely to be audible while listening to music.

Any subwoofer located next to a side wall and on the floor will excite side-wall-to-side-wall and floor-to-ceiling standing waves just as strongly as a subwoofer located in a corner.

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But to be pendantic "smoothest" can be defined as the the peak
to null ratio, weighted somewhat against the lowest frequencies
influence (as amplitude errors higher in frequency are more
audible), and the position that gives that, the actual dB ratio is
irrelevant. The Db ratio's can be improved by traps for specific
frequencies which may allow more convenient positioning

RG
That's an interesting way of analyzing bass frequencies,
but I doubt if that ratio correlates well to subjective evaluations
of bass frequency response, for two reasons.

First, the only peaks and nulls that matter are those heard at the listening position.

It's actually tough to place both your ears in a standing wave null because they are very narrow.


Second, while listening to full-range music, not bass solos,
peaks will be considerably more audible than nulls.

It's tough to overlook loud bass booms -- much easier to overlook weak bass at specific frequencies.

Frequencies too loud are much easier to notice than what's weak or missing.
 
Lets agree to disagree on some points,
but agree we've thought about it more than most.

I approach the subject from maximising bass from stereo speakers,
whilst you seem to approach it more from a sub only perspective.

Fair enough, 🙂 sreten.
 
There is interesting research on placement of multiple subs at this link at Harmon International for room/bass whitepapers and room mode calculator.

http://www.harman.com/wp/index.jsp?articleId=1003

It describes research into placement of multiple subwoofers and simulations that result in some recommended placements to get even distribution of bass around a room. The research focuses on getting even distribution across a wide area.

There is also a nice spreadsheet on the site for calculating and graphing the effects on room size on bass response.

The article "Getting the base right, gives an interesting example where EQ cannot fix a base peak problem.

A lot of interesting info.
 
moving_electron said:
Here is the correct link at Harmon International for the room/bass whitepapers and room mode calculator.

http://www.harman.com/wp/index.jsp?articleId=1003


Interesting read and an example of what I mean by a sub only approach.

And particularly regarding the papers prepositions :

The paper will accept a poor frequency response over the
seating area as long as the variation over the seating area
is minimal, argueing that the average frequency response at
minimal variation can be equalised to be flat.

True, but totally impractical for most people most of the time.

Consequently you end up with symmetrical placements
with god-awful frequency response for all the seating area,
without the dubious benefit of 1/10 of an octave bass EQ.

Well at least it will be as equally as awful for all the listeners
as possible, according to the principles of the study.

And don't get me wrong, with digital DSP implementing the
frequency response correction, the method is entirely valid.
(Theorectically, I still have some misgivings regarding the
actual frequency response corrections required.)

If you reversed the preposition of the paper, all listeners
should hear the flattest response possible and take no
account of differences between listeners (a far more
sensible hi-fi approach ?) I wonder how the results
would have turned out.

But then what do you do with your DSP ?

🙂 sreten.
 
A distributed approach seems good to me. Strategically place a whole lot of sealed ~3L boxes with 4" or 5" drivers all over one wall in order to get a flat wave-front. The piece o' cake bit is the "integrator" type equalization (oops, isn't that patented by some 3-letter acronym?), and combine that with a regular low-pass filter. Since the total cone area is huge, the excursion is small and distortion is low, you can use small and relatively inexpensive speakers. What more could you want? (...apart from getting your wall back!)

CM
 
a wall of inexpensice small drivers eh.
what about a wall that is 1foot away from your back wall, then have them infinite baffle😀 then less EQ is needed, so even less amplifier power. yay. im getting off topic arent i. sorry.
But i actually find this concept of numerous smaller subs very nice, but how many subs on the front wall is enough, is this an expansion on the stereo subs concept, or is this including subs goign vertically up the front wall as well as across the floor.
 
If the goal is even distribution across a wide area (including various depths), subwoofers only on the front wall will likely not accomplish this as there will still be peaks and valleys in the room due to room resonances.

I am drawn to the multiple subwoofer concept though as I need to get as "even" a bass possible in various places in a 24x14 room. The room has a main listening area which will also be the "sweet spot" for some home theater. But there is also a pool table near the rear of the room that also needs good sound.

I am going to experiment with the recommended placements for 2 and 4 subs in the Harmon International whitepaper.

I am starting with two 8" 1.55 cf (44l) .54 Q sealed subs based on the to MCM 55-1550. The medium term goal is 4 subs. I have used the 55-2185 but wanted the extra efficiency of the 55-1550. (Plus the carbon fiber cone looks cool) in black hammered finish cabinets. 🙂

4 will give me 300W RMS and 600W peak capacity with 90 dB efficiency. I am using a Behringer DEQ2496 Ultra-Curve to simulate a Linkwitz transform and provide 1/10 octave digital EQ. The transform requires +12 db at 25Hz. The main EQ correction right now is to overcome a peak at 64Hz.

The sound is encouraging with one sub so far, very clear detailed bass. But I expect I will need the capacity of 4 subs for HT with this transform.
 
Michael,

Here is the picture of the 15"w x 20h x 13 d sealed sub.

It has a 1.55 cf (44l) internal box volume. True volume is not totally correct as I have 1.5" x .75" maple braces in each direction which take up some space.

Althought the MCM 55-1550 is an 8" subwoofer the width of the visible part of the subwoofer driver is a bit over 9 inches. I placed the driver 3" from the top. It is centering width-wise so it is 3" from top, left and right.

The finish was done this way:
1) Seal by applying a 1:1 mix of standard wood glue and water. Lightly sand when dry
2) Apply Rustoleum brand spray can "Painter's Touch" grey sandable primer and sand as appropriate
3) Apply Rustoleum brand spray can "Black Hammered Finish"
4) Apply Light fairly dry coats of Spray can Rustoleum Black Metallic paint

The result is a textured dark grey metallic paint finish that accents the color and sheen of these drivers. The grey matches the color of the surround rubber etc. The metallic sparkle of the paint works well with the "sparkly" effect of the woven carbon fiber cone.

As you can see in the picture, I am struggling a bit with the finish in order to get a consistent sheen. Some areas are "flatter' than others. The right side in particular got overspray from finishing the front. I need to see if it needs to be buffed slightly, if additional layers help, or if this is the best I can get with the combination of these finishes.

These two Rustoleum Paint products are not naturally compatible. The Metallic paint has the typical very volatile chemicals that dry in 15 minutes. The textured presumably has a differnt chemical formulation as it is slower drying. If the metallic is sprayed on to thick it will cause the textured finish to lift and craze. So fairly thin "dry" coats need to be built up.

The flash for this picture really accented the varied sheen on the side. In normal room light it is not as noticeable and certainly not objectionable since it is a textured finish anyway. So for now I am going to leave it as is and see if I can improve it with better technique on the next sub in line to be painted. If I cannot make it better, I will still go with this finish because the result is pretty attractive as is.
 

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