MUIC & ACOUTIC – PIANO & KEYBOARD CALCULATOR
Piano Key Frequency
A precise tool.
What is the Piano Key Frequency & How does it work?
The piano key frequency is determined by the formula for equal temperament, where each semitone is a twelfth root of two times the previous frequency. This results in a consistent interval between keys.
f_n = f_0 times 2^{frac{n-1}{12}}
f_n = frequency of the nth key, f_0 = frequency of A0 (usually 27.5 Hz), n = key number (1–88)
The formula allows for precise tuning and is fundamental to the modern piano’s design.
Parameters
Result
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Frequently Asked Questions
What is the frequency of the middle C on a piano?
The frequency of middle C (C4) on a piano is approximately 261.63 Hz.
How does the formula for equal temperament work?
Each semitone is calculated as the twelfth root of two times the previous frequency, ensuring consistent intervals between keys.
What is the frequency of A0 on a piano?
The frequency of A0 (usually the lowest key) is typically 27.5 Hz.
How many keys are there on a standard piano?
A standard piano has 88 keys, ranging from A0 to C8.
Can this formula be used for other instruments?
Yes, the equal temperament formula can be applied to other stringed and wind instruments with chromatic scales.
Why is 27.5 Hz chosen as the frequency for A0?
27.5 Hz for A0 was standardized in the late 19th century to provide a reference point for tuning pianos and other instruments.
How does this formula ensure that all intervals sound equally spaced?
By using the twelfth root of two, each semitone interval is mathematically consistent, ensuring equal spacing in pitch across the keyboard.
Results are for informational purposes only and do not constitute professional advice.