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Calcimator

Tuning System Calculator

Compare note frequencies across equal temperament, just intonation, and Pythagorean tuning systems.

Inputs

Hz

Results

Equal Temperament

440 Hz

Just Intonation440 Hz
Pythagorean440 Hz
Cents Diff (Just vs ET)0 cents
Cents Diff (Pyth vs ET)0 cents
How to Use This Calculator
  1. Enter Reference A4 Frequency, Semitones from A, and Octave.
  2. Set Highlight System.
  3. Review the Equal Temperament (Hz) result.
  4. Use Just Intonation (Hz) and Pythagorean (Hz) to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Octave

OctaveEqual Temperament
0.847.88 Hz
2.8191.52 Hz
5.21,010.85 Hz
7.24,043.42 Hz

What each input means

Reference A4 Frequency
Concert pitch reference frequency. Standard is 440 Hz.
Semitones from A
Number of semitones above A. 0=A, 3=C, 7=E, etc.
Octave
Octave number. A4 = 440 Hz is octave 4.
Highlight System
1=Equal temperament, 2=Just intonation, 3=Pythagorean. All are always shown.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Reference A4 Frequency = 440, Semitones from A = 0, Octave = 4, Highlight System = 1 = 4 input(s) provided
  2. Calculate Equal Temperament
    Equal Temperament
    440 = 440
  3. Calculate Just Intonation
    Just Intonation
    440 = 440
  4. Calculate Pythagorean
    Pythagorean
    440 = 440

Engine last updated . Checked against 4 independently-derived tests — how we verify calculators.

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