Each tetrachord consists of two whole tones followed by a semitone (i.e. The ratio is 3/2 = 1.5 for a perfect fifth, for example from C to G on a major scale, and 5/4 = 1.25 for a major third, for example from C to E.Ī major scale may be seen as two identical tetrachords separated by a whole tone. The sound frequency doubles for corresponding notes from one octave to the next. Notably, an equal-tempered octave has twelve half steps (semitones) spaced equally in terms of the sound frequency ratio. Whole steps and half steps are explained mathematically in a related article, Twelfth root of two. Where "whole" stands for a whole tone (a red u-shaped curve in the figure), and "half" stands for a semitone (a red angled line in the figure). Whole, whole, half, whole, whole, whole, half The sequence of intervals between the notes of a major scale is: 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. The pattern of whole and half steps characteristic of a major scale
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