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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. List of fifth intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_fifth_intervals

    In the theory and practice of music, a fifth interval is an ordered pair of notes that are separated by an interval of 6–8 semitones. There are three types of fifth intervals, namely perfect fifths (7 semitones), diminished fifth (6 semitones), and; augmented fifth (8 semitones).

  4. Perfect fifth - Wikipedia

    en.wikipedia.org/wiki/Perfect_fifth

    In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.. In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive notes in a diatonic scale. [2]

  5. Interval ratio - Wikipedia

    en.wikipedia.org/wiki/Interval_ratio

    In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. For example, a just perfect fifth (for example C to G) is 3:2 ( Play ⓘ ), 1.5, and may be approximated by an equal tempered perfect fifth ( Play ⓘ ) which is 2 7/12 (about 1.498).

  6. 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 ...

  7. Major fourth and minor fifth - Wikipedia

    en.wikipedia.org/wiki/Major_fourth_and_minor_fifth

    In music, the major fourth and minor fifth, also known as the paramajor fourth and paraminor fifth, are intervals from the quarter-tone scale, named by Ivan Wyschnegradsky to describe the tones surrounding the tritone (F ♯ /G ♭) found in the more familiar twelve-tone scale, [1] as shown in the table below:

  8. 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.

  9. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Comparison of equal-tempered (black) and Pythagorean (green) intervals showing the relationship between frequency ratio and the intervals' values, in cents. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths [ 2 ] which are " pure " or perfect , with ...