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Sound Transmission Loss & Mass Law Partition Calculator

Sound Transmission Loss (TL) measures how effectively a wall, floor, door, or window attenuates airborne sound transmission between adjacent rooms.

Mass per unit area of the wall/floor (e.g. 2 layers of drywall ~20-25 kg/m², concrete ~200+ kg/m²).

Frequency of interest (500 Hz is typical speech reference).

Bonus dB attenuation from mineral wool cavity batts or resilient channel decoupling.

Calculated Result
37.4 dB

Sound Transmission Loss (TL)

Transmission Loss (TL)

37.4 dB

Acoustic Transmission Ratio (τ)

0.0001804

Acoustic Energy Transmitted

0.018%

Privacy Expectation

Moderate Privacy (Loud speech understood only with effort)

Frequency Evaluated

500 Hz

Calculation Breakdown

  1. Theoretical Mass Law EquationTL = 20 × log₁₀(25 kg/m² × 500 Hz) - 47.5 = 34.4 dB
  2. Cavity Insulation / Damping BonusTotal TL = 34.4 dB + 3 dB = 37.4 dB
  3. Acoustic Energy Transmittance (τ)τ = 10^(-37.4 / 10) = 0.018% transmitted energy

Acoustic Sound Insulation Metrics

Interactive visualization based on your current inputs

Value
0.0255075100Transmission Loss (dB)Sound Blocked (%)Surface Density (kg/m²)MetricValue

What Is the Sound Transmission Loss & Mass Law Partition Calculator?

Sound Transmission Loss (TL) is the number of decibels by which airborne sound power is attenuated when passing through a solid partition.

How Does the Sound Transmission Loss & Mass Law Partition Calculator Work?

Under random-incidence acoustic mass law, TL = 20·log10(m·f) - 47.5 + bonus. Acoustic energy transmission is τ = 10^(-TL/10).

Sound Transmission Loss & Mass Law Partition Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\text{TL (dB)} = 20 \log_{10}(m \cdot f) - 47.5 + \Delta_{\text{cavity}}, \quad \tau = 10^{-\text{TL}/10}

Acoustic mass law states that partition sound transmission loss increases by 6 dB for every doubling of surface density m (kg/m²) or frequency f (Hz).

How to Use the Sound Transmission Loss & Mass Law Partition Calculator

  1. Enter wall or slab surface density in kg/m².
  2. Specify acoustic frequency in Hz.
  3. Add cavity insulation or decoupling bonus dB.

Step-by-Step Example Calculation

Standard Drywall Partition at 500 Hz

Input Values:

surfaceDensityKgM2:25.0
frequencyHz:500
dampingAdjustmentDb:3.0
Worked Steps: Transmission Loss is 37.4 dB at 500 Hz, blocking 99.98% of airborne sound energy.

Understanding Your Result

Transmission Loss (TL): Decibels of sound blocked by the partition.

Transmission Ratio (τ): Fraction of acoustic sound energy penetrating the wall.

Privacy Level: Categorization from poor privacy up to confidential conference room rating.

Factors That Affect the Result

  • Surface density is the primary driver; airtight sealing is critical because tiny flanking air cracks bypass high-mass walls.

When Should You Use This Calculator?

  • Designing party walls for apartments, recording studios, cinema isolation, and executive conference rooms.

Assumptions & Limitations

  • Assumes mass-controlled regime; does not model coincidence dip or low-frequency structural panel resonance.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Random-incidence diffuse acoustic field formulation.

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