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Ethnomusicological Audio Speed Time Factor Tool

Ideal duration/pitch relationship under coupled resampling or a declared pitch-preserving transform; no audio is processed.

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Description

Divide duration by speed; retain frequency when preservePitch or multiply it by speed otherwise.

Frequency ratios express pitch relationships, while cents express their logarithm relative to an octave. Playback speed and pitch-preserving time changes obey different models; the relevant reference and physical assumptions must be supplied.

Divide duration by speed; retain frequency when preservePitch or multiply it by speed otherwise.

When to use this tool

Use Ethnomusicological Audio Speed Time Factor when you need a stated pitch-ratio, reference or playback-speed term.

How to use the tool and how it works

  1. Enter sourceSeconds, speedFactor, sourceFrequency, preservePitch. 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 outputSeconds, outputFrequency. Use the output convention below.

Require nonnegative source duration and positive speed factor/frequency. Divide duration by speed; retain frequency when preservePitch or multiply it by speed otherwise.1

Input fieldMeaning and unitsAccepted input
sourceSecondsSource SecondsRequired. Finite number; minimum 0.
speedFactorSpeed FactorRequired. Finite number; strictly above 0.
sourceFrequencySource FrequencyRequired. Finite number; strictly above 0.
preservePitchPreserve PitchRequired. Boolean.
Output fieldInterpretationReturned shape
outputSecondsOutput SecondsRequired. Finite number.
outputFrequencyOutput FrequencyRequired. Finite number.
json
{
  "input": {
    "sourceSeconds": 120,
    "speedFactor": 0.8,
    "sourceFrequency": 440,
    "preservePitch": false
  },
  "output": {
    "outputSeconds": 150,
    "outputFrequency": 352
  }
}

Limitations and assumptions

  • This is a predicted timing/pitch relationship, not actual audio processing or evidence that a particular pitch-preservation algorithm is available or artifact-free.
  • 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

Use calibrated audio measurements and the appropriate processing method for actual recordings. Retain cultural tuning context and verify reference frequency, speed history and instrument assumptions separately.

References

  1. Calculation and input contract: ethnomusicology/ethnomusicological-audio-speed-time-factor — tool.io

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