Minor third

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Minor Third
Inverse Major Sixth
Name
Other names -
Abbreviation m3
Size
Semitones 3
Interval class 3
Just interval 6:5 or 7:6
Cents
Equal temperament 300
Just intonation 316 or 267

A minor third is the smaller of two commonly occurring musical intervals compounded of two steps of the diatonic scale. The prefix 'minor' identifies it as being the smaller of the two (by one semitone); its larger counterpart being a major third. The minor third is abbreviated as m3 and its inversion is the major sixth.

The minor scale is so named because of the presence of this interval between its tonic and mediant (1st and 3rd) scale degrees. Minor chords too, take their name from the presence of this interval built on the chord's root (provided that the interval of a perfect fifth from the root is also present or implied).

A minor third in just intonation corresponds to a pitch ratio of 6:5; with other pitch ratios given related names; the septimal minor third with ratio 7:6 and the tridecimal minor third with ratio 13:11 in particular. In an equal tempered tuning, a minor third is equal to three semitones, a ratio of 1:23/12 (approximately 1:1.189), or 300 cents, 15.641 cents smaller. In other meantone tunings it is larger, and in 19 equal temperament it is very nearly the 6:5 ratio of just intonation.

The minor third is classed as an imperfect consonance and is considered one of the most consonant intervals after the unison, octave, perfect fifth, and perfect fourth.

An augmented second is enharmonically equivalent to a minor third in equal temperament, but is not the same interval in other meantone tunings. In any tuning close to 1/4 comma meantone it will be close to the 7:6 ratio of the septimal minor third. Hence the distinction is not, as often thought and even taught, a purely formal and contextual one, but reflects the tuning practice of much of the common practice period.

Augmented seconds occur in many scales, most importantly the harmonic minor and its various modes. They also occur in the various "gypsy minor" scales (which consist almost entirely of augmented and minor seconds). In harmonic minor scales, the augmented second occurs between the sixth and seventh scale degrees. For example, in the scale of A harmonic minor, the notes F and G♯ form the interval of an augmented second. This distinguishing feature of harmonic minor scales occurs as a consequence of the seventh scale degree having been chromatically raised in order to allow chords in a minor key to follow the same rules of cadence observed in major keys, where the V chord is "dominant" (that is, contains a major triad plus a minor seventh).

Diatonic intervals edit
Perfect : unison (0) | fourth (5) | fifth (7) | octave (12)
Major : second (2) | third (4) | sixth (9) | seventh (11)
Minor : second (1) | third (3)| sixth (8) | seventh (10)
Augmented : unison (1) | second (3) | third (5) | fourth (6) | fifth (8) | sixth (10) | seventh (12)
Diminished : second (0) | third (2) | fourth (4) | fifth (6) | sixth (7) | seventh (9) | octave (11)
semitones of equal temperament are given in brackets


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