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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. Hypophrygian mode - Wikipedia

    en.wikipedia.org/wiki/Hypophrygian_mode

    A whole tone higher was the Hypolydian, followed a semitone higher still by the Dorian, then after another whole tone by the Phrygian, and so on. [ 3 ] [ 4 ] Four centuries later, the term was taken from Ptolemy in exactly the same sense by Boethius , who described these seven names as "toni, tropi, vel modi" (tones, tropes or modes) in the ...

  4. 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 ...

  5. 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).

  6. Music theory - Wikipedia

    en.wikipedia.org/wiki/Music_theory

    For example, the long and rich musical traditions unique to ancient and current cultures of Africa are primarily oral, but describe specific forms, genres, performance practices, tunings, and other aspects of music theory. [24] [25] Sacred harp music uses a different kind of scale and theory in practice. The music focuses on the solfege "fa ...

  7. Diminution - Wikipedia

    en.wikipedia.org/wiki/Diminution

    A diminished interval is an interval obtained from a minor interval or perfect interval by narrowing it by a chromatic semitone, meaning that the interval is narrowed by a semitone, but the staff positions are not changed (only an accidental is changed); the process may occasionally be referred to as diminution For example, a diminished sixth ...

  8. 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 ...

  9. Diatonic scale - Wikipedia

    en.wikipedia.org/wiki/Diatonic_scale

    Equal temperament is the division of the octave in twelve equal semitones. The frequency ratio of the semitone then becomes the twelfth root of two (12 √ 2 ≈ 1.059463, 100 cents). The tone is the sum of two semitone. Its ratio is the sixth root of two (6 √ 2 ≈ 1.122462, 200 cents).