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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.
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 , 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third). Intervals with small-integer ratios are often called just intervals, or pure intervals. To most ...
An example of such an interval is the ratio 7:6 (E ♭), or 266.87 cents, [3] [4] the septimal minor third, the inverse of the supermajor sixth. Another example is the ratio 13:11, or 289.21 cents (E ↓ ♭). A supermajor sixth is noticeably wider than a major sixth but noticeably narrower than an augmented sixth, and may be a just interval of ...
The following is a list of intervals of extended meantone temperament.These intervals constitute the standard vocabulary of intervals for the Western common practice era. . Here 12 EDO refers to the size of the interval in the temperament with 12 equal divisions of the octave, which is the most common meantone temperament in the modern era, 19 EDO to 19 equal temperament, 31 EDO to 31 equal ...
12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).
Equivalently, one can use 4 √ 5 instead of 3 / 2 , which produces the same slightly reduced fifths. This results in the interval C E being a just major third 5 / 4 , and the intermediate seconds (C D, D E) dividing C E uniformly, so D C and E D are equal ratios, whose square is 5 / 4 .
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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.