Helmholtz resonators with non-rectangular bodies

[ezman]

Hi.

All the design tools and discussions for Helmholtz resonators I've seen prescribe a rectangular prism, or box, for the resonator. Yet many studio designs have non-orthogonal floorplans often with very acute triangular gores (def'n 1 here: http://www.merriam-webster.com/dictionary/gore) between the rooms or the studio and the containing orthogonal room that could be used.

I'm wondering if these long skinny triangular spaces could become the bodies of resonators without building rectangular boxes within them. Are there any design equations for these, where the depth of the box varies continuously?

Thanks,
- Eric