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Calcimator

Piano Tuning Calculator

Calculate target frequencies and cents offsets for piano tuning with octave stretch compensation.

Inputs

Hz

Results

Target Frequency

440 Hz

Cents from Equal Temp0 cents
Octave Stretch0 cents
Beat Rate0 beats/sec
Tuning Order Priority7
How to Use This Calculator
  1. Enter Key Number (1-88), Reference A4 Frequency, and Stretch Factor.
  2. Set Temperament.
  3. Review the Target Frequency (Hz) result.
  4. Use Cents from Equal Temp (cents) and Octave Stretch (cents) to inform your decision.
  5. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Key Number (1-88)

Key Number (1-88)Target Frequency
9.745.31 Hz
31155.46 Hz
58740.11 Hz
792,493.51 Hz

What each input means

Key Number (1-88)
Piano key number. A4 is key 49, middle C (C4) is key 40.
Reference A4 Frequency
Concert pitch reference. Standard is 440 Hz.
Stretch Factor
Inharmonicity compensation. 0=no stretch, 1=standard, higher for older pianos.
Temperament
1=Equal temperament, 2=Well-tempered.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Key Number (1-88) = 49, Reference A4 Frequency = 440, Stretch Factor = 1, Temperament = 1 = 4 input(s) provided
  2. Calculate Target Frequency
    440 = 440
  3. Calculate Cents from Equal Temp
    0 = 0
  4. Calculate Octave Stretch
    Octave Stretch
    0 = 0

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