The Resonant Cathedral: Archaeoacoustic Ray-Tracing

RAY ENERGY LOSS: α = 0.04

SABINE RT60 8.42 s

CLARITY (C80) -4.2 dB

ACTIVE SOUND RAYS 120 Rays

Sacred Structure Section Plane

Acoustic Impulse Mode:

Wall Surface Absorption Coefficients (α at 1000 Hz)

1. Polished Carrara Marble α = 0.01 (99% Reflective)

Dense crystalline carbonate; sound waves rebound with almost zero phase absorption, causing extreme standing waves and flutter echoes.

2. Porous Tufa & Ashlar Stone α = 0.04 (96% Reflective)

Typical Romanesque church limestone. Microscopic air pockets absorb high frequencies while sustaining warm fundamental notes.

3. Carved Oak Choir Stalls α = 0.15 (85% Reflective)

Wood panelling acts as a membrane absorber, dampening low frequencies and enhancing vocal intelligibility for cantors.

4. Leaded Stained Glass α = 0.20 (Resonant Diaphragm)

Thin lead caming and glass panes flex physically under deep bass organ pipes, absorbing subsonic shudder.

Sabine Equation Calculator

RT₆₀ = 0.161 × V / A

Where V is room air volume (m³) and A is total absorption (Sabins = Σ Sᵢ × αᵢ).

Sacred Grand Organ Manual · 8' Principal Rank

Tap notes to excite the resonant room modes. Notice the lingering reverberant tail matching current cathedral RT60.

Organ Ranks & Stops

16' Bourdon Sub-Bass 8' Principal Diapason 4' Flûte Harmonique

Archaeoacoustic Certificate

Institut d'Acoustique Monumentale · Paris

DATE: 2026-09-18
STATUS: VERIFIED

MONUMENT Hagia Sophia

REVERBERATION TIME (RT60) 10.50 Seconds

ROOM VOLUME 255,000 m³

PRIMARY ACOUSTIC ROLE Byzantine Polyphony

ARCHAEOLOGICAL FINDING: The acoustic chamber exhibits extreme high-frequency diffuse scattering caused by pendentive curvatures and gold-tesserae mosaic roughness, transforming isolated vocal syllables into an endless shimmering celestial cloud.

Export Architectural Data

Generate a high-resolution blueprint render of the acoustic ray reflections and Sabine calibration metrics.