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  2. 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).

  3. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    Pythagorean temperament can still be heard in some parts of modern classical music from singers and from instruments with no fixed tuning such as the violin family. Where a performer has an unaccompanied passage based on scales, they will tend towards using Pythagorean intonation as that will make the scale sound best in tune, then reverting to ...

  4. 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).

  5. 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.

  6. Equal temperament - Wikipedia

    en.wikipedia.org/wiki/Equal_temperament

    12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.

  7. 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]

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  9. Generic and specific intervals - Wikipedia

    en.wikipedia.org/wiki/Generic_and_specific_intervals

    For example, for every generic interval of a second there are only two possible specific intervals: 1 semitone (a minor second) or 2 semitones (a major second). In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less than the number of scale members ...