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Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator

Easily calculate and compute loudspeaker directivity factor q & directivity index (di) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
10.59 dB

Directivity Index (DI)

Directivity Index (DI)

10.59 dB

Directivity Index Db

10.591530360233943

Directivity Factor Q

11.459166666666667

Critical Distance Meters

7.54684855585429

Horizontal Beamwidth Deg

90

10.59 — dB

Calculation Breakdown

  1. Applied FormulaCalculates the acoustic directivity factor Q and directivity index DI (dB) from horizontal and vertical horn dispersion angles, determining critical distance (dc) in reverberant rooms.Q = \frac{180^2}{\theta_h \cdot \theta_v}, \quad \text{DI} = 10 \log_{10}(Q)

Loudspeaker Directivity Q & DI Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.65.37.911Directivity Index (DI)

What Is the Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator?

The Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator Work?

Calculates the acoustic directivity factor Q and directivity index DI (dB) from horizontal and vertical horn dispersion angles, determining critical distance (dc) in reverberant rooms.

Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator Formula & Variables

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

Q=1802θh⋅θv,DI=10log⁡10(Q)Q = \frac{180^2}{\theta_h \cdot \theta_v}, \quad \text{DI} = 10 \log_{10}(Q)

Calculates the acoustic directivity factor Q and directivity index DI (dB) from horizontal and vertical horn dispersion angles, determining critical distance (dc) in reverberant rooms.

How to Use the Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Loudspeaker Directivity Factor Q & Directivity Index (DI) Calculator Example

Input Values:

horizontalBeamwidthDeg:90
verticalBeamwidthDeg:40
totalRoomAbsorptionM2:250
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dB.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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