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  2. 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 ...

  3. Pythagorean comma - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_comma

    Namely, the apotome (about 113.69 cents, e.g. from C to C ♯) is the chromatic semitone, or augmented unison (A1), while the limma (about 90.23 cents, e.g. from C to D ♭) is the diatonic semitone, or minor second (m2). A ditone (or major third) is an interval formed by two major tones. In Pythagorean tuning, a major tone has a size of about ...

  4. Harmonic minor scale - Wikipedia

    en.wikipedia.org/wiki/Harmonic_minor_scale

    A harmonic minor scale can be built by lowering the 3rd and 6th degrees of the parallel major scale by one semitone. Because of this construction, the 7th degree of the harmonic minor scale functions as a leading tone to the tonic because it is a semitone lower than the tonic, rather than a whole tone lower than the tonic as it is in natural ...

  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. 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.

  7. 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 ...