The pattern is the frequency
Most audio-reactive visuals map a measured property of the sound onto a visual property: loudness to size, spectrum to colour. The mapping is arbitrary, and a viewer can usually tell, because there is no reason a bass note should make a circle bigger rather than smaller.
Here there is no mapping. The plate’s standing wave is determined by the driving frequency, the nodal lines are where that wave is zero, and the sand collects there because that is where it stops being thrown. The figure is not a representation of the note, it is a consequence of it.
That is why the mode holds up to being explained. Telling a viewer what they are looking at makes it more interesting rather than less, which is unusual for a generated visual.

