User:Sonia/Minor third

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Minor Third
Inverse major sixth
Name
Other names -
Abbreviation m3
Size
Semitones 3
Minor third audio speaker iconPlay 

A minor third is a musical interval of three semitones. It 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 third may be derived from the harmonic series as the interval between the fifth and sixth harmonics, or from the 19th harmonic.

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 (audio speaker iconplay ). In an equal tempered tuning, a minor third is equal to three semitones, a ratio of 21/4:1 (about 1.189), or 300 cents, 15.64 cents narrower than the 6:5 ratio. In other meantone tunings it is wider, and in 19 equal temperament it is very nearly the 6:5 ratio of just intonation; in more complex schismatic temperaments, such as 53 equal temperament, the "minor third" is often significantly flat (being close to Pythagorean tuning (audio speaker iconplay )), although the "augmented second" produced by such scales is often within ten cents of a pure 6:5 ratio. If a minor third is tuned in accordance with the fundamental of the overtone series, the result will be a ratio of 19:16, this produces an interval of 297 cents[source?].

Other pitch ratios are given related names, the septimal minor third with ratio 7:6 and the tridecimal minor third with ratio 13:11 in particular.

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.

Instruments in A are a minor 3rd lower than the written pitch in the concert pitch, i.e. how they are heard. Therefore, to get the written pitch, transpose the concert pitch up a minor 3rd.

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