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Audio Metric Frequency Octave Offset

Express a positive audiometric frequency relative to a positive reference in signed octaves.

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Description

Calculate supplied frequency separation in octaves.

Hearing records depend on frequency, laterality, masking status, calibration and level reference. A no-response label differs from a measured threshold, while an air-minus-bone gap requires comparable test conditions. Device charge arithmetic and scalar signal offsets do not establish hearing status or suitable care.

Calculate supplied frequency separation in octaves.

When to use this tool

Use Audio Metric Frequency Octave Offset when you already have frequencyHz, referenceFrequencyHz and need to calculate supplied frequency separation in octaves.

How to use the tool and how it works

  1. Enter frequencyHz, referenceFrequencyHz. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read octaveOffset. Use the output convention below.

Require both frequencies>0; return log2(frequencyHz)-log2(referenceFrequencyHz).1

Input fieldMeaning and unitsAccepted input
frequencyHzFrequency HzRequired. Finite number; strictly above 0.
referenceFrequencyHzReference Frequency HzRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
octaveOffsetlog2(frequencyHz/referenceFrequencyHz), calculated as a difference of logarithms.Required. Finite number.
json
{
  "input": {
    "frequencyHz": 2000,
    "referenceFrequencyHz": 500
  },
  "output": {
    "octaveOffset": 2
  }
}

Limitations and assumptions

  • A doubled frequency gives +1 octave. This is logarithmic frequency spacing rather than loudness, threshold or clinical interpretation.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Review original audiograms, instrument settings, test records and the complete clinical context. Use an appropriate professional assessment for interpretation; local unit conversions and supplied labels do not choose tests, presentation levels or intervention.

References

  1. Calculation and input contract: audiology/audio-metric-frequency-octave-offset — tool.io

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