It feels like a bell curve that’s being knocked over. I imagine the rumble as a wave that pushes people’s emotional potential outward, like a sine wave. Each soldier has a “baseline” mood value, and the battlefield noise adds a sinusoidal perturbation to that baseline. If we call the baseline mood M₀ and the rumble amplitude A, then the momentary mood M(t) could be approximated by M(t)=M₀+A·sin(ωt+φ). The frequency ω relates to the tempo of the artillery, and the phase φ captures how the sound aligns with individual attention. When A gets big enough, the sine wave can push someone from a calm M₀ into an alert or even panicked state if the amplitude exceeds their personal threshold. So the math is simple: a baseline plus a wave, but the key is the threshold crossing, which makes a quiet moment become a rallying cry or a frantic scramble.