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  2. Chromatic circle - Wikipedia

    en.wikipedia.org/wiki/Chromatic_circle

    For instance, assuming 12-tone equal temperament, to move from any C on a keyboard to the nearest E, one must move up four semitones, corresponding to four clockwise steps on the chromatic circle. One can also move down by eight semitones, corresponding to eight counterclockwise steps on the pitch class circle.

  3. 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.

  4. Chromatic scale - Wikipedia

    en.wikipedia.org/wiki/Chromatic_scale

    The tones of the chromatic scale (unlike those of the major or minor scale) are all the same distance apart, one half step. The word chromatic comes from the Greek chroma, color; and the traditional function of the chromatic scale is to color or embellish the tones of the major and minor scales. It does not define a key, but it gives a sense of ...

  5. Mode of limited transposition - Wikipedia

    en.wikipedia.org/wiki/Mode_of_limited_transposition

    Starting on any degree of the mode gives the same sequence of intervals, and therefore the whole tone scale has only 1 mode. Messiaen's mode 2, or the diminished scale, consists of semitone, tone, semitone, tone, semitone, tone, semitone, tone, which can only be arranged 2 ways, starting with either a tone or a semitone. Therefore, mode 2 has ...

  6. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    7 diatonic semitones (m2) are ≈ 90.225 cents (100 − 5ε), 5 chromatic semitones (A1) are ≈ 113.685 cents (100 + 7ε), and their average is 100 cents. In short, similar differences in width are observed for all interval types, except for unisons and octaves, and they are all multiples of ε , the difference between the Pythagorean fifth ...

  7. Quarter tone - Wikipedia

    en.wikipedia.org/wiki/Quarter_tone

    Quarter tone on C. A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (orally, or logarithmically) as a semitone, which itself is half a whole tone. Quarter tones divide the octave by 50 cents each, and have 24 different pitches.

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