Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Robert Greene


If anyone cares, the proof is not too hard. Clearly one cannot have faces
that have more sides than five, because there no room angularly: three 
regular  hexagons at a point already fill up 360 degrees and seven or more
fill up more than 360, which is impossible(note that the solid has to be 
convex at the vertices because every finite extent solid has one convex 
vertex --shrink a big sphere down until it touches first time--and a 
regular solid has by definition all vertices congruent. So they are all 
convex).  Euler showed that no of faces-no of edges+ no of vertices has to 
be 2(for any dissection of the sphere into polygonal figures, regular or 
not).


So one just looks at the possiblities for numbers of faces, number 
of  faces meeting at each vertex, and number of edges in each face,

and mess about with arithmetic to see that the only possiblities
are the cube , octahedron, tetrahedron, dodecahedron, and icosahedron.
(eg tetrahedron has 4 faces which are triangles, each edge belongs to two 
faces--in all cases!so there are 4 x3/2 = 6 edges. Each edge has 2 
vertices and since three faces meet at each vertex, the number of vertices 
has to be 6x2 / 3= 4 . And indeed 4-6 +4 = 2 as requires).
One cute part of all this is to see that the dodecahedron exists! It 
exists "combinatorially--that is the numbers work in the above, but

it is not so clear that it exists in reality, that such a figure can
be realized. I leave that to you to think about.(Suggestion: Think
about the fact that when you fit three pentagons together at a
vertex , the result is rigid--no flexing is possible).

The icosahedron exits if the dodecahedron does (and it does!) since it can 
be obtained 
by using the centers of the faces of the dodecahedron as vertices. All the 
others have an obvious existence.


Robert

On Thu, 11 Jul 2013, Michael Chapman wrote:


Robert Greene wrote :



...

 If you need more points, then
there is no "canonical" choice(and no one is going to "discover"
any more Platonic solids--there aren't any more!).

...

Sorry to start that one ... it was basically a joke (I say basically as
like perpetual motion machines I had the impression that this was a field
that had (too many) claims;-)>
(Where "too many" >= 1.)

Martin Gardner had a proof (of "no more") that was very elegant, very
short and in normal prose ... its only negative feature is that it was
(for me, at least) highly unmemorable ...

Happy etiolating,

Michael


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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Aaron Heller
Regarding 'even' distribution of points on a sphere

Most of the spherical microphone arrays use the Fliege points
   http://www.personal.soton.ac.uk/jf1w07/nodes/nodes.html

For numerical integration on the sphere (both for ambisonic decoder
optimization and mic array simulation), I use Lebedev-Laikov quadrature
   http://en.wikipedia.org/wiki/Lebedev_quadrature

Florian Hollerweger's 3LD system implements bucky balls, geodesics, and a
minimum energy scheme based on electron repulsion.
   http://flo.mur.at/software/3ld
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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Michael Chapman
Robert Greene wrote :
>
...
>  If you need more points, then
> there is no "canonical" choice(and no one is going to "discover"
> any more Platonic solids--there aren't any more!).
...

Sorry to start that one ... it was basically a joke (I say basically as
like perpetual motion machines I had the impression that this was a field
that had (too many) claims;-)>
(Where "too many" >= 1.)

Martin Gardner had a proof (of "no more") that was very elegant, very
short and in normal prose ... its only negative feature is that it was
(for me, at least) highly unmemorable ...

Happy etiolating,

Michael


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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Robert Greene


Decades ago, I was working on a project to find the best
way to equidistribute a large number of points on a sphere.
We were looking for "random unit vectors". 
(This had to do with choosing "random" orientations for a pot

containing a seed to see if the seed would sprout and grow
without benefit of gravity, the random orientation being
the best on earth simulation of no gravity at all. If
you are wondering, almost all kinds of seeds  sprout intitially but only 
some  kinds of plants  to grow. The others get all confused about
which way is up,  and die. But some apparently are seeking not up but 
warmth and they will grow if provided with one direction being more
towards warmth than others, a warmth gradient as it were, the 
gravitational gradient being not used. This all had to do with the

space program of course though equally of course the space program
did not get to the point-not yet and probably not ever--that
gardening or farming in space was being attempted in any serious way, if 
at all).


What we came up with is that the locations of the centers
of an icosahedron's faces--or equivalently at the vertices of a
dodecahedron --is a good way. If you need more points, then
there is no "canonical" choice(and no one is going to "discover"
any more Platonic solids--there aren't any more!). But you can
do reasonably well by just equidistributing in some sense
within the faces of an icosahedron but varying the distribution a
bit in each face.

Actually, once you get beyond the 20 speakers this gives you
(centers of the icosahedron faces), it probably does not matter
too much how you do it in detail. Not for the plants anyway
and probably not for Ambisonics. It would be tempting NOT
to vary the in-face distributions just for computational convenience!

Robert

On Wed, 10 Jul 2013, Martin Leese wrote:


"Michael Chapman" wrote:


Martin Leese wrote:

In general, for Ambisonics, you should
distribute the speakers as evenly as possible.
Aim for the faces of a platonic solid; visit:
http://en.wikipedia.org/wiki/Platonic_solid


Problem is ... despite many claims to be on the verge of discovering new
ones;-)> ...that Plato did not have many solids   . . .

I _thought_ the consenus on this list (no howls of derision, please) was
edging towards three rings ... though without looking back, whether that
was 6-8-6 or something else ...?

Just a two pennies'  worth,


I did not make myself sufficiently clear.
Aiming for a Platonic solid is just a goal, not a
destination.  I was trying to suggest that
achieving an even distribution is important,
and was not trying to dictate strict adherence
to a fixed rule.

Note that with only three rings, you are limited
to second-order height.  This may or may not
be a problem.  24 speakers is almost 5
squared, so fourth-order full-sphere could be
attempted.

Regards,
Martin
--
Martin J Leese
E-mail: martin.leese  stanfordalumni.org
Web: http://members.tripod.com/martin_leese/
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Re: [Sursound] aes journal article

2013-07-11 Thread Michael Chapman
> As you say, not surprising.
> As someone who came originally from a noncommercial
> field of research(pure mathematics), I have long
> noticed that a good deal of "research" in audio
> comes from people either re-discovering or simply
> seizing ideas of other people, often long established, and
> re-packaging them as their own.

Not disagreeing with the generality  . . .  but you did engender a
mirthless laugh : the classic case of being reticent about either
references or acknowledgements must be Einstein's initial relativity
papers   .  .  .   but perhaps with reason ;-(>

Michael

> No one much is interested in giving credit where it is due.
> All they want to do is to get in their with claims of
> things that they can sell as new. And sell is the operative
> word.
>
> This is all quite outrageous if viewed from the perspective
> of the scientific research world--where there is plenty
> of skullduggery but it is usually done more subtlely.
>
> Audio research has to be its own reward because one
> will certainly not get credit for it from others.
>
> Robert
>
> On Thu, 11 Jul 2013, Dave Malham wrote:
>
>> Really disappointed (but not too surprised) to that in the June AES in
>> an article about Spatial Audio, which says "Spatial audio can be
>> reprocessed for reproduction over different loudspeaker formats using
>> upmixing and downmixing. It can even be rendered binaurally for
>> headphones. We review the latest research in this field and consider
>> the potential pros and cons of the technology."  there is not one
>> mention of Ambisonics, despite the really significant increase in
>> publications in the last few years.
>>
>>Dave
>>
>> --
>> --
>> As of 1st October 2012, I have retired from the University.
>>
>> These are my own views and may or may not be shared by the University
>>
>> Dave Malham
>> Honorary Fellow, Department of Music
>> The University of York
>> York YO10 5DD
>> UK
>>
>> 'Ambisonics - Component Imaging for Audio'
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Re: [Sursound] aes journal article

2013-07-11 Thread Robert Greene

As you say, not surprising.
As someone who came originally from a noncommercial
field of research(pure mathematics), I have long
noticed that a good deal of "research" in audio
comes from people either re-discovering or simply
seizing ideas of other people, often long established, and
re-packaging them as their own.
No one much is interested in giving credit where it is due.
All they want to do is to get in their with claims of
things that they can sell as new. And sell is the operative
word.

This is all quite outrageous if viewed from the perspective
of the scientific research world--where there is plenty
of skullduggery but it is usually done more subtlely.

Audio research has to be its own reward because one
will certainly not get credit for it from others.

Robert

On Thu, 11 Jul 2013, Dave Malham wrote:


Really disappointed (but not too surprised) to that in the June AES in
an article about Spatial Audio, which says "Spatial audio can be
reprocessed for reproduction over different loudspeaker formats using
upmixing and downmixing. It can even be rendered binaurally for
headphones. We review the latest research in this field and consider
the potential pros and cons of the technology."  there is not one
mention of Ambisonics, despite the really significant increase in
publications in the last few years.

   Dave

--
--
As of 1st October 2012, I have retired from the University.

These are my own views and may or may not be shared by the University

Dave Malham
Honorary Fellow, Department of Music
The University of York
York YO10 5DD
UK

'Ambisonics - Component Imaging for Audio'
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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Eero Aro

Augustine Leudar wrote:

Im all ears (pun not intended)


Hehe, me too. :-)

Practical things and theory possibly don't meet here. Anyway, I am confused.
Possibly I should have started a topic with a different name and not 
stir this

thread.

Having built several installations and demos myself I know it is always 
risky to

place objects above the audience and you need to take care of the safety.
Also, the less you have objects up there, the smaller are the risks.

However, I was taught that a phantom image is more stable when the angle
between the two speakers gets smaller, whatever the direction of the speaker
pair. The feeling of space reduces.

When the angle gets wider, the localization of a phantom image gets less
stable and the feeling of space gets better, until it all splits apart.

The stability of the phantom image depends also some on how it was achieved,
panning a mono source or some microphone technique or some certain
decoding method, or something else.

Although I have been "fooling the ear" in my work in radio drama, it 
bothers me,
if the "right way" to reproduce sound is to try to fool the hearing 
where you can

(as hearing cannot distinguish the difference anyway), or should you try to
reproduce it as well you can.

Eero
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Re: [Sursound] aes journal article

2013-07-11 Thread Augustine Leudar
Why not suprised out of curiosity ?

On 11 July 2013 14:01, Dave Malham  wrote:

> Really disappointed (but not too surprised) to that in the June AES in
> an article about Spatial Audio, which says "Spatial audio can be
> reprocessed for reproduction over different loudspeaker formats using
> upmixing and downmixing. It can even be rendered binaurally for
> headphones. We review the latest research in this field and consider
> the potential pros and cons of the technology."  there is not one
> mention of Ambisonics, despite the really significant increase in
> publications in the last few years.
>
> Dave
>
> --
> --
> As of 1st October 2012, I have retired from the University.
>
> These are my own views and may or may not be shared by the University
>
> Dave Malham
> Honorary Fellow, Department of Music
> The University of York
> York YO10 5DD
> UK
>
> 'Ambisonics - Component Imaging for Audio'
> ___
> Sursound mailing list
> Sursound@music.vt.edu
> https://mail.music.vt.edu/mailman/listinfo/sursound
>



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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Augustine Leudar
Hi Dave,
Interesting - but we cannot comfortably tilt our heads on the side of our
neck so that the horizontal plane becomes exactly equivelant vertical plane
so even with these head movements I localisation directly above would be
less accurate other directions (I assume - I would like to see some
listening test results anyone ?).  Either way we both agree putting more
loudspeakers in a area we can localise worse there would not help. Ill
raise this topic at the next meeting I have with the spatial audio group
perhaps and see if I can get a more accurate picture of why the directly
over head speakers were reduced. Sonic lab layout is here :

http://www.qub.ac.uk/sites/sarc/AboutUs/TheSARCBuildingandFacilities/TheSonicLab/SonicLabSpecs/Image,219299,en.gif

as I say I think they had more directly overhead previously - though now I
wonder if I got that wrong as there seems to be quite  a few overhead
still.

On 11 July 2013 12:40, Dave Malham  wrote:

> Hi Augustine,
>Whilst it is generally said that that our angular acuity is better
> on the horizontal plane, this way of expressing things is, frankly, a
> snare and a delusion since it only applies when the head is upright.
> Unless your listeners are restrained using something like the infamous
> Green-Lee neck brace they will be able to move and change the
> orientation of their heads so the direction of maximum acuity can be
> essentially anywhere. So, if it is remotely possible, the rig should
> be as homogeneous as possible in all directions. The other thing to
> beware of is the difficulty of retaining equi-loudness in all panned
> directions with uneven speaker rigs.
>
>  Dave
>
> On 11 July 2013 10:15, Augustine Leudar  wrote:
> > Hi Eero,
> > Al revers amigo. I dont know how it works with ambisonics and soundfield
> > reconstruction but basically generally speaking your ears cant tell the
> > difference if a speaker directly overhead is half a metre this way or the
> > other - in effect your ears have lower resolution straight above so extra
> > speakers are just wasted as you cant hear the difference anyway-
> conversley
> > where your ears have good localisation you need more speakers as your
> ears
> > are less easily fooled . This resulted in several speakers in the sonic
> lab
> > at the sonic arts research centre being removed overhead as listening
> tests
> > showed they were making little difference to the listener experience.
> > Unless I was taught wrong - In which case Im all ears (pun not intended)
> >
> > On 11 July 2013 10:34, Eero Aro  wrote:
> >
> >> I must confess that I don't know much about what you are discussing
> >> about, but I think I read in one of the posts (that I already have
> deleted)
> >> that "there is no need to place a lot of speakers directly above, as our
> >> localization is at it's worst in that direction".
> >>
> >> However, I have always thought that you need _more_ speakers (with
> >> smaller angles) in those directions where the hearing localization of
> >> phantom
> >> images is not very good. You don't need as many speakers in those
> >> directions
> >> where the localization of phantom images is good. In front of the
> listener
> >> on the
> >> horizontal plane two speakers at an angle of 60 degrees is good for most
> >> people.
> >> Elsewhere you need more.
> >>
> >> This of course applies to when the listener's head is not moving.
> >>
> >> Just ask Thomas Chen.
> >>
> >> Eero
> >>
> >> __**_
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> >> Sursound@music.vt.edu
> >> https://mail.music.vt.edu/**mailman/listinfo/sursound<
> https://mail.music.vt.edu/mailman/listinfo/sursound>
> >>
> >
> >
> >
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> > https://mail.music.vt.edu/mailman/listinfo/sursound
>
>
>
> --
> --
> As of 1st October 2012, I have retired from the University.
>
> These are my own views and may or may not be shared by the University
>
> Dave Malham
> Honorary Fellow, Department of Music
> The University of York
> York YO10 5DD
> UK
>
> 'Ambisonics - Component Imaging for Audio'
> ___
> Sursound mailing list
> Sursound@music.vt.edu
> https://mail.music.vt.edu/mailman/listinfo/sursound
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[Sursound] aes journal article

2013-07-11 Thread Dave Malham
Really disappointed (but not too surprised) to that in the June AES in
an article about Spatial Audio, which says "Spatial audio can be
reprocessed for reproduction over different loudspeaker formats using
upmixing and downmixing. It can even be rendered binaurally for
headphones. We review the latest research in this field and consider
the potential pros and cons of the technology."  there is not one
mention of Ambisonics, despite the really significant increase in
publications in the last few years.

Dave

-- 
-- 
As of 1st October 2012, I have retired from the University.

These are my own views and may or may not be shared by the University

Dave Malham
Honorary Fellow, Department of Music
The University of York
York YO10 5DD
UK

'Ambisonics - Component Imaging for Audio'
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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Matthias Kronlachner
This is actually a good point, also against mixed order approaches (at 
least if you can afford the number of speakers...).


On 7/11/13 1:40 PM, Dave Malham wrote:

Hi Augustine,
Whilst it is generally said that that our angular acuity is better
on the horizontal plane, this way of expressing things is, frankly, a
snare and a delusion since it only applies when the head is upright.
Unless your listeners are restrained using something like the infamous
Green-Lee neck brace they will be able to move and change the
orientation of their heads so the direction of maximum acuity can be
essentially anywhere. So, if it is remotely possible, the rig should
be as homogeneous as possible in all directions. The other thing to
beware of is the difficulty of retaining equi-loudness in all panned
directions with uneven speaker rigs.

  Dave





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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Michael Chapman
> Hi Eero,
> Al revers amigo. I dont know how it works with ambisonics and soundfield
> reconstruction but basically generally speaking your ears cant tell the
> difference if a speaker directly overhead is half a metre this way or the
> other - in effect your ears have lower resolution straight above so extra
> speakers are just wasted as you cant hear the difference anyway-
> conversley
> where your ears have good localisation you need more speakers as your ears
> are less easily fooled . This resulted in several speakers in the sonic
> lab
> at the sonic arts research centre being removed overhead as listening
> tests
> showed they were making little difference to the listener experience.
> Unless I was taught wrong - In which case Im all ears (pun not intended)
>
> On 11 July 2013 10:34, Eero Aro  wrote:
>
>> I must confess that I don't know much about what you are discussing
>> about, but I think I read in one of the posts (that I already have
>> deleted)
>> that "there is no need to place a lot of speakers directly above, as our
>> localization is at it's worst in that direction".
>>
>> However, I have always thought that you need _more_ speakers (with
>> smaller angles) in those directions where the hearing localization of
>> phantom
>> images is not very good.
[ ... ]


Discounting the argument that nobody's localisation is good when they
realise that a 60Kg speaker is suspended over their head on a weak bracket
  .   .   .   I posit the following :

DWMM has a soundstage of, what ?
+/-  ( 45 > A > 135 )(degrees)
E : -5 to -15
E: +10 to +25

Better estimates and/or actual figures welcome  ;-)>

But my point is that you need better rendering of elevation because the
(primary sources of) sound are so close together in elevation (E).
The sound stage (angle/azimuth (A)) is relatively broad.

So, logically, first order horizontal and third order vertical (I jest ...
!).

Michael



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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Dave Malham
Hi Augustine,
   Whilst it is generally said that that our angular acuity is better
on the horizontal plane, this way of expressing things is, frankly, a
snare and a delusion since it only applies when the head is upright.
Unless your listeners are restrained using something like the infamous
Green-Lee neck brace they will be able to move and change the
orientation of their heads so the direction of maximum acuity can be
essentially anywhere. So, if it is remotely possible, the rig should
be as homogeneous as possible in all directions. The other thing to
beware of is the difficulty of retaining equi-loudness in all panned
directions with uneven speaker rigs.

 Dave

On 11 July 2013 10:15, Augustine Leudar  wrote:
> Hi Eero,
> Al revers amigo. I dont know how it works with ambisonics and soundfield
> reconstruction but basically generally speaking your ears cant tell the
> difference if a speaker directly overhead is half a metre this way or the
> other - in effect your ears have lower resolution straight above so extra
> speakers are just wasted as you cant hear the difference anyway- conversley
> where your ears have good localisation you need more speakers as your ears
> are less easily fooled . This resulted in several speakers in the sonic lab
> at the sonic arts research centre being removed overhead as listening tests
> showed they were making little difference to the listener experience.
> Unless I was taught wrong - In which case Im all ears (pun not intended)
>
> On 11 July 2013 10:34, Eero Aro  wrote:
>
>> I must confess that I don't know much about what you are discussing
>> about, but I think I read in one of the posts (that I already have deleted)
>> that "there is no need to place a lot of speakers directly above, as our
>> localization is at it's worst in that direction".
>>
>> However, I have always thought that you need _more_ speakers (with
>> smaller angles) in those directions where the hearing localization of
>> phantom
>> images is not very good. You don't need as many speakers in those
>> directions
>> where the localization of phantom images is good. In front of the listener
>> on the
>> horizontal plane two speakers at an angle of 60 degrees is good for most
>> people.
>> Elsewhere you need more.
>>
>> This of course applies to when the listener's head is not moving.
>>
>> Just ask Thomas Chen.
>>
>> Eero
>>
>> __**_
>> Sursound mailing list
>> Sursound@music.vt.edu
>> https://mail.music.vt.edu/**mailman/listinfo/sursound<https://mail.music.vt.edu/mailman/listinfo/sursound>
>>
>
>
>
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As of 1st October 2012, I have retired from the University.

These are my own views and may or may not be shared by the University

Dave Malham
Honorary Fellow, Department of Music
The University of York
York YO10 5DD
UK

'Ambisonics - Component Imaging for Audio'
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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Augustine Leudar
Hi Eero,
Al revers amigo. I dont know how it works with ambisonics and soundfield
reconstruction but basically generally speaking your ears cant tell the
difference if a speaker directly overhead is half a metre this way or the
other - in effect your ears have lower resolution straight above so extra
speakers are just wasted as you cant hear the difference anyway- conversley
where your ears have good localisation you need more speakers as your ears
are less easily fooled . This resulted in several speakers in the sonic lab
at the sonic arts research centre being removed overhead as listening tests
showed they were making little difference to the listener experience.
Unless I was taught wrong - In which case Im all ears (pun not intended)

On 11 July 2013 10:34, Eero Aro  wrote:

> I must confess that I don't know much about what you are discussing
> about, but I think I read in one of the posts (that I already have deleted)
> that "there is no need to place a lot of speakers directly above, as our
> localization is at it's worst in that direction".
>
> However, I have always thought that you need _more_ speakers (with
> smaller angles) in those directions where the hearing localization of
> phantom
> images is not very good. You don't need as many speakers in those
> directions
> where the localization of phantom images is good. In front of the listener
> on the
> horizontal plane two speakers at an angle of 60 degrees is good for most
> people.
> Elsewhere you need more.
>
> This of course applies to when the listener's head is not moving.
>
> Just ask Thomas Chen.
>
> Eero
>
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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Eero Aro

I must confess that I don't know much about what you are discussing
about, but I think I read in one of the posts (that I already have deleted)
that "there is no need to place a lot of speakers directly above, as our
localization is at it's worst in that direction".

However, I have always thought that you need _more_ speakers (with
smaller angles) in those directions where the hearing localization of 
phantom

images is not very good. You don't need as many speakers in those directions
where the localization of phantom images is good. In front of the 
listener on the
horizontal plane two speakers at an angle of 60 degrees is good for most 
people.

Elsewhere you need more.

This of course applies to when the listener's head is not moving.

Just ask Thomas Chen.

Eero
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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Matthias Kronlachner

Thank you for all suggestions!

I am also aware of t-design [1] for even distribution.
Does somebody have practical experience with those, except for virtual 
loudspeaker arrangements?



Fons' 1+6+8+6+1 seems to be a good and easy to mount start.
Do you see a problem in increasing the number of speakers for the middle 
ring, for 4th/5th order 2d playback?

(1+6+9+6+1 or 1+6+11+6+1)
Or is this middle ring afterwards "incompatible" with the 3rd order 
periphonic setup?



I do have third and fourth order material as well.
I want to use this place to test my Ambisonics (ambix) Plug-ins which 
currently go up to 5th order.

But of course I'd also like to listen/work with first order recordings.


Anyway, as Dave pointed out there might be a lot to try out and just listen.
But it's always good to have some opinions before starting to mount 
speakers.



Matthias

[1] http://www2.research.att.com/~njas/sphdesigns/


On 7/11/13 10:11 AM, Dave Malham wrote:

For small areas, or central listeners, I do think there is a good
argument for not over egging the pudding with too many speakers for
low order material. But I am not at all convinced, based on
experience, that this is true when dealing off centre listeners in a
large area such as a concert since it doesn't take account of
differential distance based losses amongst other things.
Experimentation is definitely needed


  Dave

On 10 July 2013 21:30, Fons Adriaensen  wrote:


1 + 6 + 8 + 6 + 1 works very well for full 3rd order
(with the rings of 6 at elevation +/-45).

That is assuming you have 3rd order material to play.
For lower order you should definitely use less speakers.





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Re: [Sursound] Suggestions spherical loudspeaker installation observatory

2013-07-11 Thread Dave Malham
For small areas, or central listeners, I do think there is a good
argument for not over egging the pudding with too many speakers for
low order material. But I am not at all convinced, based on
experience, that this is true when dealing off centre listeners in a
large area such as a concert since it doesn't take account of
differential distance based losses amongst other things.
Experimentation is definitely needed


 Dave

On 10 July 2013 21:30, Fons Adriaensen  wrote:

> 1 + 6 + 8 + 6 + 1 works very well for full 3rd order
> (with the rings of 6 at elevation +/-45).
>
> That is assuming you have 3rd order material to play.
> For lower order you should definitely use less speakers.



-- 
-- 
As of 1st October 2012, I have retired from the University.

These are my own views and may or may not be shared by the University

Dave Malham
Honorary Fellow, Department of Music
The University of York
York YO10 5DD
UK

'Ambisonics - Component Imaging for Audio'
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