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The following equation gives the frequency f (Hz) of the n th key on the idealized standard piano with the 49th key tuned to A 4 at 440 Hz: f ( n ) = ( 2 12 ) n − 49 × 440 Hz = 2 n − 49 12 × 440 Hz {\displaystyle f(n)=\left({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\,=2^{\frac {n-49}{12}}\times 440\,{\text{Hz}}\,}
May 6, 2014 · The vertical axis is the number of cents that the key is tuned away from equal temperament, e.g. the C two octaves above A440 (C7) is about 10 cents sharp, i.e. the frequency is a factor of 2 10/1200 sharp, or the actual freuquency is. f = 440 * 4 * 2 3/12 * 2 10/1200 = 2105.13 Hz.
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Piano key frequencies 2 75 b′′′ B6 1975.53 74 a♯′′′/b♭′′′ A♯6/B♭6 1864.66 73 a′′′ A6 1760.00 72 g♯′′′/a♭′′′ G♯6/A♭6 1661.22 71 g′′′ G6 1567.98 70 f♯′′′/g♭′′′ F♯6/G♭6 1479.98 69 f′′′ F6 1396.91 68 e′′′ E6 1318.51 67 d♯′′′/e♭′′′ D♯6/E♭6 ...
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The piano has 88 keys which span the frequency range 27.5 Hz (A0) to 4186 Hz (C8). The strings are sounded by hammer mechanisms which are activated by the keys. Held in a heavy cast iron frame, the strings pass over a bridge to a pin block by which the strings are tuned.
Identifying the Note and Adjusting the Corresponding String. Initiate by playing the reference pitch (A4) on the piano and monitor the tuner’s display. If the middle A3 note does not align with the desired frequency, adjustments are in order. Utilize the tuning lever to manipulate the corresponding tuning pin.
Where these frequencies can be calculated, a temperament may be tuned aurally by timing the beatings of tempered intervals. An A440 tuning fork. A common method of tuning the piano begins with tuning all the notes in the "temperament" octave in the lower middle range of the piano, usually F3 to F4.
Then tune A3-E4 in a contracted 5th; by tuning E4 slightly flat until you hear a beat of about 1 Hz. The contracted 5th should beat a little under 1 Hz at the bottom of the muted range (A3) and about 1.5 Hz near the top. The beat frequencies of the 5ths should increase smoothly with increasing pitch.
