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A440 (also known as Stuttgart pitch [1]) is the musical pitch corresponding to an audio frequency of 440 Hz, which serves as a tuning standard for the musical note of A above middle C, or A 4 in scientific pitch notation. It is standardized by the International Organization for Standardization as ISO 16.
The frequency of a pitch is derived by multiplying (ascending) or dividing (descending) the frequency of the previous pitch by the twelfth root of two (approximately 1.059463). [1] [2] For example, to get the frequency one semitone up from A 4 (A ♯ 4), multiply 440 Hz by the twelfth root of two. To go from A 4 up two semitones (one whole tone ...
Scientific pitch, also known as philosophical pitch, Sauveur pitch or Verdi tuning, is an absolute concert pitch standard which is based on middle C (C 4) being set to 256 Hz rather than ~ 261.63 Hz, [a] making it ~ 31.77 cents lower than the common A440 pitch standard.
The A above middle C is usually set at 440 Hz (often written as "A = 440 Hz" or sometimes "A440"), although other frequencies, such as 442 Hz, are also often used as variants. Another standard pitch, the so-called Baroque pitch , has been set in the 20th century as A = 415 Hz—approximately an equal-tempered semitone lower than A440 to ...
The initial standard was A = 439 Hz ⓘ, but this was superseded by A = 440 Hz, possibly because 439 Hz was difficult to reproduce in a laboratory since 439 is a prime number. [ 22 ] In 1964, of 31 top professional U.S. orchestras, 19 were tuning at 440, the others at 441 or 442. [ 23 ]
For standard A440 pitch equal temperament, the system begins at a frequency of 16.35160 Hz, which is assigned the value C 0. The octave 0 of the scientific pitch notation is traditionally called the sub-contra octave , and the tone marked C 0 in SPN is written as ,,C or C,, or CCC in traditional systems, such as Helmholtz notation .
In all systems of tuning, every pitch may be derived from its relationship to a chosen fixed pitch, which is usually A440 (440 Hz), the note A above middle C. For a classical piano and musical theory, the middle C is usually labelled as C 4 (as in scientific pitch notation ); However, in the MIDI standard definition this middle C (261.626 Hz ...
To calculate the frequency of a note in a scale given in terms of ratios, the frequency ratio is multiplied by the tonic frequency. For instance, with a tonic of A4 (A natural above middle C), the frequency is 440 Hz, and a justly tuned fifth above it (E5) is simply 440×(3:2) = 660 Hz.