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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 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.
The intervals of 5-limit just intonation (prime limit, not odd limit) are ratios involving only the powers of 2, 3, and 5.The fundamental intervals are the superparticular ratios 2/1 (the octave), 3/2 (the perfect fifth) and 5/4 (the major third).
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).
A supermajor sixth is noticeably wider than a major sixth but noticeably narrower than an augmented sixth, and may be a just interval of 12:7 (A). [5] [6] [7] In 24 equal temperament A = B. The septimal major sixth is an interval of 12:7 ratio (A Play ⓘ), [8] [9] or about 933 cents. [10] It is the inversion of the 7:6 subminor third.
The Ionian mode corresponds to the major scale. Scales in the Lydian mode are major scales with an augmented fourth. The Mixolydian mode corresponds to the major scale with a minor seventh. The Aeolian mode is identical to the natural minor scale. The Dorian mode corresponds to the natural minor scale with a major sixth.
The harmonic major scale has its own set of modes, distinct from the harmonic minor, melodic minor, and major modes, depending on which note serves as the tonic.Below are the mode names, their degrees, and the following seventh chords that can be built using each modal tonic or degree of the parent mode as the root: a major seventh chord, a half-diminished seventh chord, a minor seventh chord ...
The pattern of whole and half steps characteristic of a 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: