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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. Harmonic series (music) - Wikipedia

    en.wikipedia.org/wiki/Harmonic_series_(music)

    A "complex tone" (the sound of a note with a timbre particular to the instrument playing the note) "can be described as a combination of many simple periodic waves (i.e., sine waves) or partials, each with its own frequency of vibration, amplitude, and phase". [1]

  4. Pythagorean comma - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_comma

    The first to mention the comma's proportion of 531441:524288 was Euclid, who takes as a basis the whole tone of Pythagorean tuning with the ratio of 9:8, the octave with the ratio of 2:1, and a number A = 262144. He concludes that raising this number by six whole tones yields a value, G, that is larger than that yielded by raising it by an ...

  5. Semitone - Wikipedia

    en.wikipedia.org/wiki/Semitone

    A semitone, also called a minor second, half step, or a half tone, [3] is the smallest musical interval commonly used in Western tonal music, [4] and it is considered the most dissonant [5] when sounded harmonically.

  6. Musical tone - Wikipedia

    en.wikipedia.org/wiki/Musical_tone

    Traditionally in Western music, a musical tone is a steady periodic sound. A musical tone is characterized by its duration, pitch, intensity (or loudness), and timbre (or quality). [1] The notes used in music can be more complex than musical tones, as they may include aperiodic aspects, such as attack transients, vibrato, and envelope modulation.

  7. 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 ...

  8. Chromatic scale - Wikipedia

    en.wikipedia.org/wiki/Chromatic_scale

    The chromatic scale is a musical scale with twelve pitches, each a semitone, also known as a half-step, above or below its adjacent pitches.As a result, in 12-tone equal temperament (the most common tuning in Western music), the chromatic scale covers all 12 of the available pitches.

  9. 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 ...