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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.
Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...
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).
Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited".
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:
Unlike the major sixth chord which is often substituted for a major triad, the minor sixth is more versatile and plays a number of different harmonic roles due to its identity as an inversion of the half-diminished seventh chord. The presence of the perfect fifth interval over the root also means that this voicing is more stable than the half ...
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Augmented sixth Play ⓘ.. In music, an augmented sixth (Play ⓘ) is an interval produced by widening a major sixth by a chromatic semitone. [1] [4] For instance, the interval from C to A is a major sixth, nine semitones wide, and both the intervals from C ♭ to A, and from C to A ♯ are augmented sixths, spanning ten semitones.