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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). [1] [2] Every octave is made of twelve steps called semitones.
A man tuning an upright piano. Piano tuning is the process of adjusting the tension of the strings of an acoustic piano so that the musical intervals between strings are in tune. The meaning of the term 'in tune', in the context of piano tuning, is not simply a particular fixed set of pitches. Fine piano tuning requires an assessment of the ...
The purpose of this adjustment is to move the 12 notes within a smaller range of frequency, namely within the interval between the base note D and the D above it (a note with twice its frequency). This interval is typically called the basic octave (on a piano keyboard, an octave has only 12 keys).
This is the most common tuning system used in Western music, and is the standard system used as a basis for tuning a piano. Since this scale divides an octave into twelve equal-ratio steps and an octave has a frequency ratio of two, the frequency ratio between adjacent notes is then the twelfth root of two, 2 1/12 ≋ 1.05946309... .
Notes in it include a prime symbol below the note's letter. Names of subsequent lower octaves are preceded with "sub". Notes in each include an additional prime symbol below the note's letter. The octave starting at middle C is called the "small" octave. Notes in it are written as lower case letters, so middle C itself is written c in Helmholtz ...
The system is flexible enough to include "microtones" not found on standard piano keyboards. For example, the pitch halfway between C (60) and C ♯ (61) can be labeled 60.5. The following table shows frequencies in Hertz for notes in various octaves, named according to the "German method" of octave nomenclature:
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