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  2. Ear training - Wikipedia

    en.wikipedia.org/wiki/Ear_training

    Interval recognition is also a useful skill for musicians: in order to determine the notes in a melody, a musician must have some ability to recognize intervals.Some music teachers teach their students relative pitch by having them associate each possible interval with the first two notes of a popular song. [2]

  3. Interval (music) - Wikipedia

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

    In music theory, an interval is a difference in pitch between two sounds. [1] An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.

  4. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. ⁠ (3:2) 2 / 2 ⁠, the mean of the major third ⁠ (3:2) 4 / 4 ⁠, and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...

  5. Interval class - Wikipedia

    en.wikipedia.org/wiki/Interval_class

    Interval class Play ⓘ.. In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes.

  6. Tetrachord - Wikipedia

    en.wikipedia.org/wiki/Tetrachord

    In music theory, a tetrachord (Greek: τετράχορδoν; Latin: tetrachordum) is a series of four notes separated by three intervals.In traditional music theory, a tetrachord always spanned the interval of a perfect fourth, a 4:3 frequency proportion (approx. 498 cents)—but in modern use it means any four-note segment of a scale or tone row, not necessarily related to a particular tuning ...

  7. Harmonic Materials of Modern Music - Wikipedia

    en.wikipedia.org/wiki/Harmonic_Materials_of...

    Harmonic Materials of Modern Music is a book on musical set theory by American composer Howard Hanson that overlaps significantly with composer Elliott Carter's Harmony Book and theorist Allen Forte's subsequent Structure of Atonal Music. Published in 1960, Hanson's theory was one of the first to examine all sets of pitches in terms of their ...

  8. Wolf interval - Wikipedia

    en.wikipedia.org/wiki/Wolf_interval

    In music theory, the wolf fifth (sometimes also called Procrustean fifth, or imperfect fifth) [1] [2] is a particularly dissonant musical interval spanning seven semitones. Strictly, the term refers to an interval produced by a specific tuning system, widely used in the sixteenth and seventeenth centuries: the quarter-comma meantone temperament ...

  9. 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.