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In music theory, the scale degree is the position of a particular note on a scale [1] relative to the tonic—the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and chords and whether an interval is major or minor .
The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. (3:2) 2 / 2 , the mean of the major third (3:2) 4 / 4 , and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...
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).
Just major third. Pythagorean major third, i.e. a ditone Comparison, in cents, of intervals at or near a major third Harmonic series, partials 1–5, numbered Play ⓘ.. In music theory, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third (Play ⓘ) is a third spanning four half steps or two whole steps. [1]
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. [2] The major second is the interval that occurs between the first and second degrees of a major scale, the tonic and the supertonic.
Some music teachers teach their students relative pitch by having them associate each possible interval with the first interval of a popular song. [1] Such songs are known as "reference songs". [ 2 ] However, others have shown that such familiar-melody associations are quite limited in scope, applicable only to the specific scale-degrees found ...
In music theory a diatonic scale is a heptatonic (seven-note) scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps. In other words, the half steps are maximally separated from each other.
The third degree may be distant from the first by an interval of a major or minor third, but this does not make it the major or minor third degree: it is the third degree in all cases. (Or else one might have to call it the "second and a half" degree, etc.).
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