You can check evenness oft he sampling of the sphere by checking the
condition number of the spherical harmonics matrix. 

So create the SH matrix with some educated guess layout, define the
corresponding SH order and see what happened to cond(Y). From there you can
start designing. 

If there are areas where no speakers are possible, just place some anyway.
E.g. for a hemispherical array, mirror down the layout to the lower
hemisphere. 

How to design a decoder than is another problem. But Zotter's AllRound
decoder [1] seems to be promising.

Best
Fabio

[1] Franz Zotter, Matthias Frank, "All-Round Ambisonic Panning and
Decoding", Journal of the Audio Engineering Society, October, 2012 

-----Ursprüngliche Nachricht-----
Von: Sursound [mailto:sursound-boun...@music.vt.edu] Im Auftrag von Matthias
Kronlachner
Gesendet: Dienstag, 09. Juli 2013 15:29
An: Surround Sound discussion group
Betreff: [Sursound] Suggestions spherical loudspeaker installation
observatory

Dear All,

I am currently working on a 24-loudspeaker installation in an old
observatory of Vilnius University.
Maybe someone has suggestions on how to distribute those 24 loudspeakers.


To get an image of the place, have a look at the photos [1]

The radius of the dome is 2.3m.
The dome is sitting on an octagonal base with circumradius 3.8m and 2m 
height.

The installation is intended to be used for experimentation and small 
concerts of electroacoustic music, preferably with Ambisonics.


There is a very nice high chair which allows one person to sit more or 
less in the center of the imaginary sphere.
Therefore this seat allows loudspeaker placement in the lower hemisphere.

But the installation should also work for people sitting or standing on 
the floor.

I was thinking about having one north pole speaker, one ring in the dome 
itself, one ring below the dome (bellow equator) and one ring on the floor.

Does somebody have any suggestions for such an installation? Also 
concerning Ambisonics-decoder friendly distribution? (i know, this is a 
topic that can fill libraries...)

Any comments and tips are greatly appreciated!

Thanks,
Matthias

[1]
http://www.matthiaskronlachner.com/observatory/dome.JPG
http://www.matthiaskronlachner.com/observatory/sweet-spot.JPG
http://www.matthiaskronlachner.com/observatory/panorama.JPG
http://www.matthiaskronlachner.com/observatory/from-balcony.JPG

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