Coral Summit Racon Acoustic Gazetteer
Computational Acoustics Engine

Acoustic Science & Decay Simulation

Reverberation time ($RT_{60}$) represents the duration required for the sound pressure level in an enclosed space to attenuate by 60 decibels after the sound source has ceased. Use the computational model below to simulate hall decay.

Governing Formula RT60 = 0.161 · V / A
Key Metric Mid-Band (500 – 1000 Hz)
Ideal Symphonic Range 1.8s – 2.1s

Reverberation Decay Calculator (Sabine Model)

Configure structural hall dimensions, interior materials, and audience load to simulate the reverberation profile in seconds.

Typical ranges: Chamber (3,000 m³), Shoebox Symphony (15,000–22,000 m³), Arena (50,000+ m³)
Simulated Mid-Band RT60
1.94s
0.5s (Dead) 1.8s - 2.1s (Symphonic) 3.5s+ (Cathedral)
Monumental Resonant Warmth: Late Romantic repertoire (Mahler, Brahms, Bruckner).

Surface Scattering & Diffusion Physics

Reverberation time is solely an indicator of energy persistence; it conveys nothing regarding the smoothness or spatial distribution of the sound field. To prevent specular (mirror-like) reflections that generate harsh slapback echoes, acousticians implement surface diffusers.

Quadratic Residue Diffusers (QRD)

Invented by Manfred Schroeder, QRD systems utilize a series of wells of varying depths separated by thin dividers. The depths are determined by quadratic residues from number theory:

$$d_n = \frac{c}{2 f_0} \cdot (n^2 \pmod p)$$

This mathematical arrangement ensures that sound energy strikes the wall and scatters into an evenly distributed radial fan pattern across all frequencies, eradicating flutter echoes while keeping the hall acoustically "live."

Soft-lit 3D wireframe render of Manfred Schroeder quadratic residue acoustic diffusers with varied well depths