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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. All-interval twelve-tone row - Wikipedia

    en.wikipedia.org/wiki/All-interval_twelve-tone_row

    The Grandmother chord is an eleven-interval, twelve-note, invertible chord with all of the properties of the Mother chord. Additionally, the intervals are so arranged that they alternate odd and even intervals (counted by semitones) and that the odd intervals successively decrease by one whole-tone while the even intervals successively increase by one whole-tone. [13]

  4. Cent (music) - Wikipedia

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

    [7] He notes that these notes, when sounded in succession, form the scale of the instrument, and an interval between any two notes is measured by "the ratio of the smaller pitch number to the larger, or by the fraction formed by dividing the larger by the smaller". [8] Absolute and relative pitches were also defined based on these ratios. [8]

  5. 53 equal temperament - Wikipedia

    en.wikipedia.org/wiki/53_equal_temperament

    In music, 53 equal temperament, called 53 TET, 53 EDO, or 53 ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency ratios). Play ⓘ Each step represents a frequency ratio of 2 1 ∕ 53 , or 22.6415 cents (Play ⓘ), an interval sometimes called the Holdrian comma.

  6. 12 equal temperament - Wikipedia

    en.wikipedia.org/wiki/12_equal_temperament

    12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).

  7. Piano key frequencies - Wikipedia

    en.wikipedia.org/wiki/Piano_key_frequencies

    The frequency of a pitch is derived by multiplying (ascending) or dividing (descending) the frequency of the previous pitch by the twelfth root of two (approximately 1.059463). [1] [2] For example, to get the frequency one semitone up from A 4 (A ♯ 4), multiply 440 Hz by the twelfth root of two.

  8. How teachers are using Taylor Swift's music to make ... - AOL

    www.aol.com/entertainment/teachers-using-taylor...

    When that video raked up hundreds of thousands of views in a matter of days, it inspired him to reimagine other ways to teach math, including using the tune to Swift's "Anti-Hero" to help students ...

  9. 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 ...