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In music, a septimal chromatic semitone or minor semitone [1] is the interval 21:20 ( Play i ). It is about 84.47 cents. The septimal chromatic semitone may be derived from the harmonic series as the interval between the twentieth and twenty-first harmonics. The septimal chromatic semitone equals a just chromatic semitone (25:24) plus a ...
The Pythagorean A ♭ (at the left) is at 792 cents, G ♯ (at the right) at 816 cents; the difference is the Pythagorean comma. Equal temperament by definition is such that A ♭ and G ♯ are at the same level. 1⁄4 -comma meantone produces the "just" major third (5:4, 386 cents, a syntonic comma lower than the Pythagorean one of 408 cents ...
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) 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 (12 √ 2 ≈ 1.05946).
semitone. A semitone, also called a minor second, half step, or a half tone, [3] is the smallest musical interval commonly used in Western tonal music, [4] and it is considered the most dissonant [5] when sounded harmonically. It is defined as the interval between two adjacent notes in a 12-tone scale (or half of a whole step ), visually seen ...
A cent is a unit of measure for the ratio between two frequencies. An equally tempered semitone (the interval between two adjacent piano keys) spans 100 cents by definition. An octave —two notes that have a frequency ratio of 2:1—spans twelve semitones and therefore 1200 cents.
Augmented unison. In modern Western tonal music theory an augmented unison or augmented prime [3] is the interval between two notes on the same staff position, or denoted by the same note letter, whose alterations cause them, in ordinary equal temperament, to be one semitone apart.
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There are no modes of limited transposition in any prime equal division of the octave, such as 19 equal temperament or 31 equal temperament . Composite divisions, such as 15 equal temperament or 22 equal temperament, have them. The 12-note chromatic scale can itself be considered such a mode when viewed as a subset of a larger system that ...
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