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Each semitone is equal to one twelfth of an octave. This is a ratio of 2 1/12 (approximately 1.05946), or 100 cents, and is 11.7 cents narrower than the 16:15 ratio (its most common form in just intonation, discussed below). All diatonic intervals can be expressed as an equivalent number of semitones. For instance a major sixth equals nine ...
The ratios are all expressed relative to C in the centre of this diagram (the base note for this scale). They are computed in two steps: For each cell of the table, a base ratio is obtained by multiplying the corresponding factors. For instance, the base ratio for the lower-left cell is 1 / 9 × 1 / 5 = 1 / 45 .
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).
12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.
The harmonic seventh chord is a major triad plus the harmonic seventh interval (ratio of 7:4, about 968.826 cents [1]). This interval is somewhat narrower (about 48.77 cents flatter, a septimal quarter tone ) and is "sweeter in quality" than an "ordinary" [ 2 ] minor seventh , which has a just intonation ratio of 9:5 [ 3 ] (1017.596 cents), or ...