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  2. Piano key frequencies - Wikipedia

    en.wikipedia.org/wiki/Piano_key_frequencies

    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.

  3. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    For example, to make a 12 note chromatic scale in Pythagorean tuning close at the octave, one of the fifth intervals must be lowered ("out-of-tune") by the Pythagorean comma; this altered fifth is called a "wolf fifth" because it sounds similar to a fifth in its interval size and seems like an out-of-tune fifth, but is actually a diminished ...

  4. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    Comparison of notes derived from, or near, twelve perfect fifths (B ♯). In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements. Most modern Western musical instruments are tuned in the equal temperament system.

  5. 12 equal temperament - Wikipedia

    en.wikipedia.org/wiki/12_equal_temperament

    12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).

  6. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    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 dates to antiquity: in Ancient Mesopotamia ...

  7. Musical tuning - Wikipedia

    en.wikipedia.org/wiki/Musical_tuning

    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... .

  8. Microtonality - Wikipedia

    en.wikipedia.org/wiki/Microtonality

    In 1954, Karlheinz Stockhausen built his electronic Studie II on an 81-step scale starting from 100 Hz with the interval of 5 1/25 between steps, [91] and in Gesang der Jünglinge (1955–56) he used various scales, ranging from seven up to sixty equal divisions of the octave. [92]

  9. Chromatic scale - Wikipedia

    en.wikipedia.org/wiki/Chromatic_scale

    Chromatic scale drawn as a circle The diatonic scale notes (above) and the non-scale chromatic notes (below) [2] The twelve notes of the octave—all the black and white keys in one octave on the piano—form the chromatic scale. The tones of the chromatic scale (unlike those of the major or minor scale) are all the same distance apart, one ...