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  2. Semitone - Wikipedia

    en.wikipedia.org/wiki/Semitone

    For example, C is adjacent to C ♯; the interval between them is a semitone. [ 6 ] In a 12-note approximately equally divided scale, any interval can be defined in terms of an appropriate number of semitones (e.g. a whole tone or major second is 2 semitones wide, a major third 4 semitones, and a perfect fifth 7 semitones).

  3. Interval (music) - Wikipedia

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

    A semitone is any interval between two adjacent notes in a chromatic scale, a whole tone is an interval spanning two semitones (for example, a major second), and a tritone is an interval spanning three tones, or six semitones (for example, an augmented fourth).

  4. Quarter tone - Wikipedia

    en.wikipedia.org/wiki/Quarter_tone

    For example, some 17th- and 18th-century theorists used the term to describe the distance between a sharp and enharmonically distinct flat in mean-tone temperaments (e.g., D ♯ –E ♭). [2] In the quarter-tone scale, also called 24-tone equal temperament (24-TET), the quarter tone is 50 cents , or a frequency ratio of 24 √ 2 or ...

  5. Regular diatonic tuning - Wikipedia

    en.wikipedia.org/wiki/Regular_diatonic_tuning

    For the ordinary diatonic scales described here, the T-s are tones and the s-s are semitones which are half, or approximately half the size of the tone.But in the more general regular diatonic tunings, the two steps can be of any relation within the range between T = 171.43 ¢ (for s = T at the high extreme) and T = 240 ¢ (for s = 0 at the low extreme) in musical cents (fifth, p5, between 685 ...

  6. Twelfth root of two - Wikipedia

    en.wikipedia.org/wiki/Twelfth_root_of_two

    The twelfth root of two or (or equivalently /) is an algebraic irrational number, approximately equal to 1.0594631.It is most important in Western music theory, where it represents the frequency ratio (musical interval) of a semitone (Play ⓘ) in twelve-tone equal temperament.

  7. Maximal evenness - Wikipedia

    en.wikipedia.org/wiki/Maximal_evenness

    Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature. [3] [4] A scale is said to have Myhill's property if every generic interval comes in two specific interval sizes, and a scale with Myhill's property is said to be a well-formed scale. [5] The diatonic collection is both a well-formed scale and is ...

  8. Septimal chromatic semitone - Wikipedia

    en.wikipedia.org/wiki/Septimal_chromatic_semitone

    Septimal chromatic semitone on C Play ⓘ. Septimal chromatic semitone + octave Play ⓘ. In music, a septimal chromatic semitone or minor semitone [1] is the interval 21:20 (Play ⓘ). It is about 84.47 cents. The septimal chromatic semitone may be derived from the harmonic series as the interval between the twentieth and twenty-first harmonics.

  9. Minor third - Wikipedia

    en.wikipedia.org/wiki/Minor_third

    It is called minor because it is the smaller of the two: the major third spans an additional semitone. For example, the interval from A to C is a minor third, as the note C lies three semitones above A. Coincidentally, there are three staff positions from A to C. Diminished and augmented thirds span the same number of staff positions, but ...