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
- Enter Key Number (1-88), Reference A4 Frequency, and Stretch Factor.
- Set Temperament.
- Review the Target Frequency (Hz) result.
- Use Cents from Equal Temp (cents) and Octave Stretch (cents) to inform your decision.
- 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 |
|---|---|
| 9.7 | 45.31 Hz |
| 31 | 155.46 Hz |
| 58 | 740.11 Hz |
| 79 | 2,493.51 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
- Identify Input Parameters4 parametersKey Number (1-88) = 49, Reference A4 Frequency = 440, Stretch Factor = 1, Temperament = 1 = 4 input(s) provided
- Calculate Target Frequency440 = 440
- Calculate Cents from Equal Temp0 = 0
- Calculate Octave StretchOctave Stretch0 = 0
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