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  2. Interval (music) - Wikipedia

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

    The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).

  3. 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 ...

  4. Ear training - Wikipedia

    en.wikipedia.org/wiki/Ear_training

    The process is similar to twelve-tone ear training, but with many more intervals to distinguish. Aspects of microtonal ear training are covered in Harmonic Experience, by W. A. Mathieu, with sight-singing exercises, such as singing over a drone, to learn to recognize just intonation intervals. There are also software projects underway or ...

  5. Category:Intervals (music) - Wikipedia

    en.wikipedia.org/wiki/Category:Intervals_(music)

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  6. Pythagorean interval - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_interval

    In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. [1] For instance, the perfect fifth with ratio 3/2 (equivalent to 3 1 / 2 1 ) and the perfect fourth with ratio 4/3 (equivalent to 2 2 / 3 1 ) are Pythagorean intervals.

  7. 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 ...

  8. Limma - Wikipedia

    en.wikipedia.org/wiki/Limma

    The original Pythagorean limma, ⁠ 256 / 243 ⁠, a Pythagorean interval (play ⓘ). and in 5-limit tuning: The 5-limit diatonic semitone, ⁠ 16 / 15 ⁠ (play ⓘ). Although closer in size to the Pythagorean apotome than to the limma, it has been so called because of its function as a diatonic semitone rather than a chromatic one.

  9. Fifteenth - Wikipedia

    en.wikipedia.org/wiki/Fifteenth

    In music, a fifteenth or double octave, abbreviated 15 ma, is the interval between one musical note and another with one-quarter the wavelength or quadruple the frequency. It has also been referred to as the bisdiapason. [1] The fourth harmonic, it is two octaves.