Text Legibility Distance Multiplier Calculator

Conditionalletterheight×independentlyvalidateddistance/heightfactor,not universalacuity/contrast/illumination guarantee. Actual independently applicable flag/cloth/manufacturer/jurisdiction/protocol/sourceedition,units/calibration and observations external;not legal/display precedence,authenticity,visibility or structural safety approval.

Description

Letter height and viewing distance can be related by a factor established for particular visual conditions.

Letter height and viewing distance can be related by a factor established for particular visual conditions.1

Contrast, lighting and observer acuity determine whether that calibration applies.

When to use Text Legibility Distance Multiplier Calculator

Use this tool to apply the stated text legibility distance multiplier calculator operation with an explicit input and unit basis.

How to use Text Legibility Distance Multiplier Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualLetterHeightMeters, callerIndependentlyValidatedVisibilityDistancePerLetterHeight and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualLetterHeightMetersLetter height meters, on the basis specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm
callerIndependentlyValidatedVisibilityDistancePerLetterHeightVisibility distance per letter height, on the basis specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm

Require positive letter height in meters and positive distance-to-height factor; multiply them to obtain conditional viewing distance in meters.

distance = letter height × calibrated distance/height factor

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueConditional viewing distance in meters.number
json
{
  "input": {
    "actualLetterHeightMeters": 0.2,
    "callerIndependentlyValidatedVisibilityDistancePerLetterHeight": 100
  },
  "output": {
    "result": {
      "value": 20
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Letter Height Minimum Rule Checker. A lettering rule can be checked once its applicable minimum height has been established.

For a related operation, use Grayscale Contrast Luminance Ratio Calculator. A physical grayscale luminance ratio compares brighter and darker linear measurements.

References

  1. Text Legibility Distance Multiplier Calculator — tool.io

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