Concert Hall Acoustics Calculator

Panel Width depends on exactly one input: Design Frequency. Algebraically, Panel Width is computed as individual well width (which is the design wavelength divided by twice the Prime Number) multiplied back by that same Prime Number -- and the Prime Number cancels out of that product completely. Panel Width reduces to half the design wavelength, full stop, regardless of how many wells the prime number specifies. This isn't a subtle rounding effect; it's exact algebra, and it's easy to verify from the numbers themselves: at a Design Frequency of 590 Hz, Panel Width comes out to 29.07 cm no matter what Prime Number you choose -- 5, 7, 11, 13, 17, 19, or 23 all give the identical panel width.

Number of Wells is also completely absent from the Panel Width formula (it only controls how many individual well depths get computed in the QRD sequence output, and how many of them are counted as unique non-zero depths). What Prime Number and Number of Wells DO change is everything about the panel's internal structure: Individual Well Width (which does depend on Prime Number, since a higher prime divides the same overall panel width into more, narrower wells), the specific depth sequence of each well, and the Upper Diffusion Limit (which is Design Frequency times Prime Number divided by 2 -- so Prime Number matters enormously there, even though it's irrelevant to Panel Width). Don't read a wide or narrow panel as evidence of a particular prime number choice; only Design Frequency sets the overall panel footprint.