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  2. Interval recognition - Wikipedia

    en.wikipedia.org/wiki/Interval_recognition

    Some music teachers teach their students relative pitch by having them associate each possible interval with the first interval of a popular song. [1] Such songs are known as "reference songs". [ 2 ] However, others have shown that such familiar-melody associations are quite limited in scope, applicable only to the specific scale-degrees found ...

  3. Pitch interval - Wikipedia

    en.wikipedia.org/wiki/Pitch_interval

    Ascending intervals are indicated by a positive value, and descending intervals by a negative one. [3] One can also measure the distance between two pitches without taking into account direction with the unordered pitch interval, similar to the interval of tonal theory. This may be defined as:

  4. vi–ii–V–I - Wikipedia

    en.wikipedia.org/wiki/Vi–ii–V–I

    The ii–V–I turnaround lies at the end of the circle progression, as does the vi–ii–V–I progression of root movement by descending fifths, which establishes tonality and also strengthens the key through the contrast of minor and major. [3] In a minor key, the progression is i–iv–VII–III–VI–ii°–V–i.

  5. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    In western music, a division into twelve intervals is commonly assumed unless it is specified otherwise. For the chromatic scale, the octave is divided into twelve equal parts, each semitone (half-step) is an interval of the twelfth root of two so that twelve of these equal half steps add up to exactly an octave. With fretted instruments it is ...

  6. Diminished second - Wikipedia

    en.wikipedia.org/wiki/Diminished_second

    In modern Western tonal music theory, a diminished second is the interval produced by narrowing a minor second by one chromatic semitone. [1] In twelve-tone equal temperament, it is enharmonically equivalent to a perfect unison; [3] therefore, it is the interval between notes on two adjacent staff positions, or having adjacent note letters, altered in such a way that they have no pitch ...

  7. Inversion (music) - Wikipedia

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

    An interval is inverted by raising or lowering either of the notes by one or more octaves so that the higher note becomes the lower note and vice versa. For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved.

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