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  2. Major scale - Wikipedia

    en.wikipedia.org/wiki/Major_scale

    The intervals from the tonic (keynote) in an upward direction to the second, to the third, to the sixth, and to the seventh scale degrees of a major scale are called major. [1] A major scale is a diatonic scale. The sequence of intervals between the notes of a major scale is: whole, whole, half, whole, whole, whole, half.

  3. 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).

  4. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    The limit refers to the highest prime number fraction included in the intervals of a scale. All the intervals of any 3 limit just intonation will be multiples of 3. So ⁠ 6 / 5 ⁠ is included in 5 limit, because it has 5 in the denominator. If a scale uses an interval of 21:20, it is a 7 limit just intonation, since 21 is a multiple of 7.

  5. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    In western music, a division into twelve intervals is commonly assumed unless it is specified otherwise. For the chromatic scale, the octave is divided into twelve equal parts, each semitone (half-step) is an interval of the twelfth root of two so that twelve of these equal half steps add up to exactly an octave. With fretted instruments it is ...

  6. List of musical scales and modes - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_scales_and...

    Chord-scale system. Heptatonic scale. Jazz scale. List of chord progressions. List of chords. List of musical intervals. List of pitch intervals. Arabian maqam. Modes of limited transposition.

  7. Major and minor - Wikipedia

    en.wikipedia.org/wiki/Major_and_minor

    Major and minor may also refer to scales and chords that contain a major third or a minor third, respectively. A major scale is a scale in which the third scale degree (the mediant) is a major third above the tonic note. In a minor scale, the third degree is a minor third above the tonic. Similarly, in a major triad or major seventh chord, the ...

  8. Degree (music) - Wikipedia

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

    In music theory, the scale degree is the position of a particular note on a scale [1] relative to the tonic —the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and chords and whether an interval is major or minor. In the most general sense, the scale degree ...

  9. 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). If the A above middle C is 440 Hz, the perfect fifth above it would be ...