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Minor sixth

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minor sixth
Inversion (music)>Inverse major third
Name
Other names -
Abbreviation m6
Size
semitone>Semitones 8
Interval class 4
Just intonation>Just interval 8:5
Cents
Equal temperament 800
Just intonation 814

A minor sixth is the smaller of two commonly occurring musical intervals that span six diatonic scale degrees. The prefix 'minor' identifies it as being the smaller of the two (by a chromatic semitone); its larger counterpart being a major sixth. The minor 6th is abbreviated as m6, its inversion is the major third and in equal temperament is enharmonically equivalent to the augmented fifth. Its most common occurrence is between the third and (upper) root of major chords.

A minor sixth in just intonation most often corresponds to a pitch ratio of 8:5 or 1:1.6, or various other ratios, while in an equal tempered tuning, a minor sixth is equal to eight semitones, a ratio of 1:28/12 (approximately 1.587), or 800 cents, 13.686 cents smaller. The ratios of both major and minor sixths are corresponding numbers of the Fibonacci sequence, 5 and 8 for a minor sixth and 3 and 5 for a major.

The minor sixth is one of consonances of common practice music, along with the unison, octave, perfect fifth, major and minor thirds, major sixth and (sometimes) the perfect fourth. In the common practice period, sixths were considered interesting and dynamic consonances along with their inverses the thirds, but in medieval times they were considered dissonances unusable in a stable final sonority; however it should be noted that in that period they were tuned very flat, to the Pythagorean minor sixth of 128/81. In just intonation, the minor sixth is classed as a consonance of the 5-limit.

See also

Diatonic intervals [http://encycl.opentopia.com/ 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/Diminished : tritone (6)
semitones of equal temperament are given in brackets

External links

 


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