Speaker Array Coverage Angle Venue Width Calculator
Compare measured speaker horizontal coverage with a caller centered audience-plane footprint; ideal angular envelope, not SPL uniformity, frequency-dependent array design or acoustic prediction.
Description
A centered audience-plane footprint determines an ideal horizontal angle.
A centered audience-plane footprint determines an ideal horizontal angle. Measured speaker coverage is a separate input.1
Enter positive distance/width and coverage strictly between 0° and 180°. Return required degrees, modeled width and inclusive angular gate.
When to use Speaker Array Coverage Angle Venue Width Calculator
Use Speaker Array Coverage Angle Venue Width Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No SPL uniformity, frequency response or array design is predicted.
Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
How to use Speaker Array Coverage Angle Venue Width Calculator and understand its results
- Prepare the actual venue, production, inventory or financial records requested. Confirm units and supply applicable local limits or verified catalog values.
- Enter speakerToAudiencePlaneDistanceM, audiencePlaneWidthM, callerMeasuredHorizontalCoverageDegrees using the field table and calculation rules, then run the tool.
- Read requiredHorizontalCoverageDegrees, modeledCoverageWidthM, withinCallerCoverageEnvelope. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| speakerToAudiencePlaneDistanceM | Speaker to audience plane distance m | number | Required |
| audiencePlaneWidthM | Audience plane width m | number | Required |
| callerMeasuredHorizontalCoverageDegrees | Caller measured horizontal coverage degrees | number | Required |
Enter positive distance/width and coverage strictly between 0° and 180°. Return required degrees, modeled width and inclusive angular gate.
requiredAngle=2atan(width/(2distance)); modeledWidth=2distance×tan(coverage/2) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| requiredHorizontalCoverageDegrees | Required horizontal coverage degrees | number |
| modeledCoverageWidthM | Modeled coverage width m | number |
| withinCallerCoverageEnvelope | Within caller coverage envelope | boolean |
{
"input": {
"speakerToAudiencePlaneDistanceM": 10,
"audiencePlaneWidthM": 20,
"callerMeasuredHorizontalCoverageDegrees": 90
},
"output": {
"requiredHorizontalCoverageDegrees": 90,
"modeledCoverageWidthM": 19.999999999999996,
"withinCallerCoverageEnvelope": true
}
}Limitations and assumptions
No SPL uniformity, frequency response or array design is predicted.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Delay Tower Time Alignment MS Distance Calculator: Delay alignment compares acoustic paths and electronic latencies at each seat. One delay value may not align every location. For a complementary task, use Border Mask Height Sightline Calculator: A border-plane sightline is an interpolation along a supplied eye-to-target ray. A local 2D test cannot capture every viewing path.
References
Similar or alternative tools
- Delay Tower Time Alignment MS Distance Calculator
Delay alignment compares acoustic paths and electronic latencies at each seat. One delay value may not align every location.
- Border Mask Height Sightline Calculator
A border-plane sightline is an interpolation along a supplied eye-to-target ray. A local 2D test cannot capture every viewing path.