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Natural Science Forum / Physics / Acoustics / September 2006



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Equilateral triangle?

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Ethan Winer - 19 Sep 2006 16:45 GMT
Folks,

The standard recommendation for a two-channel listening setup is to create
an equilateral triangle between the listener's ears and each speaker. That's
always worked fine for me! But someone recently asked me WHY this is the
standard setup and I had no answer. Is there a historical reason? Was this
determined empirically with listening tests? Is there something obvious I'm
missing?

Thanks.

--Ethan
GregS - 19 Sep 2006 17:25 GMT
>Folks,
>
[quoted text clipped - 4 lines]
>determined empirically with listening tests? Is there something obvious I'm
>missing?

I just seems natural. There was a center channel in many setups
long ago. How its recorded and played back is different from
when they first started stereo.

Now we have 7.1. I'm waiting for 9.1, with top and bottom, ans 10.1 with vibration.

greg
Chris Whealy - 19 Sep 2006 17:36 GMT
> Folks,
>
[quoted text clipped - 4 lines]
> determined empirically with listening tests? Is there something obvious I'm
> missing?

Well I guess its just for simplicity.

Keeping the speakers at equal distances from the listener means a
simpler recording and/or play back setup is needed to capture and then
reproduce the psychoacoustical trick known as stereo.

If you had two sound sources at different distances from the listener
(scalene triangle), then there would necessarily need to be delay
introduced (either during play back or recording) to produce the desired
stereo image.

Chris W

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The voice of ignorance speaks loud and long,
But the words of the wise are quiet and few.
                                         ---

Ethan Winer - 19 Sep 2006 19:27 GMT
Chris,

> If you had two sound sources at different distances from the listener <

I guess I wasn't clear enough. Of course both speakers must be the same
distance from your head. But the "standard" is to have the speakers the same
distance from you as between each other. That's what I'm really asking
about. Obviously the speakers shouldn't be two feet apart if they're ten
feet in front of you. Likewise, ten feet apart is probably too much in a
nearfield setup. But why is the "rule" to have all three sides of the
triangle the same?

--Ethan
EskWIRED@spamblock.panix.com - 19 Sep 2006 20:38 GMT
In alt.sci.physics.acoustics, Ethan Winer <ethanw at ethanwiner dot com> wrote:

> But why is the "rule" to have all three sides of the
> triangle the same?

Back in my audiophile days I used to experiment a lot with speaker
placement.  I found that the distance between the speakers was critically
related to their toe-in, and that both had an effect on the imaging
ability of the system.

I found that there was a compromise between a wide, spacious soundstage
and a rock-solid center image.

I also found that moving my head a few inches right/left and
forward/backwards made a significant difference in the soundtage
solidity, and that the lessons learned could be aplied to improving the
speaker placement.

I ended up trying to make the high-pitched tones from particular
instruments line up horizontally with the fundementals from the same
intstrument, and found thta this was a good technique for arriving at a
compromise.

If I got everythng right, the soundstage had significant depth as well as
width.

The equilateral triangle is just a rough starting point.

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--Edward R. Murrow

Chris Whealy - 19 Sep 2006 22:07 GMT
> I guess I wasn't clear enough. Of course both speakers must be the same
> distance from your head. But the "standard" is to have the speakers the same
[quoted text clipped - 3 lines]
> nearfield setup. But why is the "rule" to have all three sides of the
> triangle the same?

I think what your asking is more related to the theory of stereo imaging
and how the brain reconstructs spatial information from two (or more)
complimentary sound sources.

Maybe information on http://www.stereosoundbook.com/ would help here

Chris W

Signature

The voice of ignorance speaks loud and long,
But the words of the wise are quiet and few.
                                         ---

Mike Rieves - 20 Sep 2006 01:48 GMT
> Folks,
>
[quoted text clipped - 10 lines]
>
> --Ethan

  I think that is has to do with the angles involved, remember that an
equalateral triangle also has equal angles, those being 60 degrees each.
Placing the speakers so that the angle formed at the listening point of the
triangle is 60 degrees and equidistant to each speaker means that the other
two angles will be 60 degrees as well, and this results in an equilateral
triangle. This is however, just a rule of thumb, and depending on the type
of speakers, the room acoustics, etc, other placements may suit just as well
or better. For near-field speakers though, that rule probably works very
well in most situations.
exp(j*pi/2) - 21 Sep 2006 02:41 GMT
>    I think that is has to do with the angles involved, remember that an
> equalateral triangle also has equal angles, those being 60 degrees each.
> Placing the speakers so that the angle formed at the listening point of the
> triangle is 60 degrees and equidistant to each speaker means that the other
> two angles will be 60 degrees as well, and this results in an equilateral
> triangle.

snip....snip

Have another drink and then go to bed an sleep it off, you moron.
Ethan Winer - 20 Sep 2006 16:15 GMT
Thanks guys. All of that makes sense, especially the "it's only a rule of
thumb, just a guideline" comments.
 
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