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The major sixth chord is a major triad and the additional sixth interval is major. For example, a major sixth chord built on C (denoted by C 6, or CM 6) consists of the notes C, E, G, and the added major sixth A.
Another major sixth is the 12:7 septimal major sixth or supermajor sixth, the inversion of the septimal minor third, of approximately 933 cents. [4] The septimal major sixth (12/7) is approximated in 53-tone equal temperament by an interval of 41 steps, giving an actual frequency ratio of the (41/53) root of 2 over 1, approximately 928 cents.
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).
In standard tuning, the intervals are four perfect fourths and one major third, the comparatively irregular interval for the (G,B) pair. Consequently, standard tuning requires four chord shapes for the major chords. There are separate chord forms for chords having their root note on the third, fourth, fifth, and sixth strings. [42]
Interval class table for [0,1,4,6] ic notes of [0,1,4,6] built on E diatonic counterparts 1: E to F: minor 2nd and major 7th 2: A ♭ to B ♭ major 2nd and minor 7th 3: F to A ♭ minor 3rd and major 6th 4: E to G ♯ major 3rd and minor 6th 5: F to B ♭ perfect 4th and perfect 5th 6: E to B ♭ augmented 4th and diminished 5th
the chord quality (e.g. minor or lowercase m, or the symbols o or + for diminished and augmented chords, respectively; chord quality is usually omitted for major chords) whether the chord is a triad, seventh chord, or an extended chord (e.g. Δ 7) any altered notes (e.g. sharp five, or ♯ 5) any added tones (e.g. add2)
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In harmonic analysis and on lead sheets, a C major chord can be notated as C, CM, CΔ, or Cmaj. A major triad is represented by the integer notation {0, 4, 7}. A major triad can also be described by its intervals: the interval between the bottom and middle notes is a major third, and the interval between the middle and top notes is a minor third.