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This is a list of the fundamental frequencies in hertz (cycles per second) of the keys of a modern 88-key standard or 108-key extended piano in twelve-tone equal temperament, with the 49th key, the fifth A (called A 4), tuned to 440 Hz (referred to as A440).
The frequencies of the harmonic series, being integer multiples of the fundamental frequency, are naturally related to each other by whole-numbered ratios and small whole-numbered ratios are likely the basis of the consonance of musical intervals (see just intonation). This objective structure is augmented by psychoacoustic phenomena.
Converter: Frequencies to note name, ± cents; Note names, keyboard positions, frequencies and MIDI numbers; Music notation systems − Frequencies of equal temperament tuning – The English and American system versus the German system; Frequencies of musical notes; Learn How to Read Sheet Music; Free music paper for printing and downloading
List of pitch intervals as frequency ratios in intonation and tuning of musical instruments and performances. Topics referred to by the same term This disambiguation page lists articles associated with the title List of musical intervals .
These two numbers are from a list of consecutive integers assigned to consecutive semitones. For example, A 4 (the reference pitch) is the 49th key from the left end of a piano (tuned to 440 Hz), and C 4 , and F ♯ 4 are the 40th and 46th keys, respectively. These numbers can be used to find the frequency of C 4 and F ♯ 4:
Time–frequency analysis is extended from the classic Fourier approach. Short-time Fourier transform (STFT), Gabor transform (GT) and Wigner distribution function (WDF) are famous time–frequency methods, useful for analyzing music signals such as notes played on a piano, a flute or a guitar.
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An 88-key piano keyboard, with the octaves numbered and middle C (cyan) and A440 (yellow) highlighted. The table below gives notation for pitches based on standard piano key frequencies: standard concert pitch and twelve-tone equal temperament.
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