Minor sixth

minor sixth
Inversemajor third
Name
Other namesminor hexachord, hexachordon minus, lesser hexachord
Abbreviationm6
Size
Semitones8
Interval class4
Just interval8:5, 11:7, 128:81
Cents
Equal temperament800
24 equal temperament800
Just intonation814, 782, 792
Minor sixth About this soundPlay 
Pythagorean minor sixth on C About this soundPlay , four Pythagorean perfect fifths.

In classical music from Western culture, a sixth is a musical interval encompassing six staff positions (see Interval number for more details), and the minor sixth is one of two commonly occurring sixths. It is qualified as minor because it is the smaller of the two: the minor sixth spans eight semitones, the major sixth nine. For example, the interval from A to F is a minor sixth, as the note F lies eight semitones above A, and there are six staff positions from A to F. Diminished and augmented sixths span the same number of staff positions, but consist of a different number of semitones (seven and ten).

In equal temperament, the minor sixth is enharmonically equivalent to the augmented fifth. It occurs in first inversion major and dominant seventh chords and second inversion minor chords.

A minor sixth in just intonation most often corresponds to a pitch ratio of 8:5 or 1.6:1 (About this soundplay ) of 814 cents;[1][2][3] in 12-tone equal temperament, a minor sixth is equal to eight semitones, a ratio of 22/3:1 (about 1.587), or 800 cents, 13.7 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 11:7 undecimal minor sixth is 782.49 cents.[4] (About this soundPlay ). In Pythagorean tuning, the minor sixth is the ratio 128:81, or 792.18 cents.[5]

See also the subminor sixth, which includes ratios such as 14:9 and 63:40.[6] of 764.9 cents[7][8] or 786.4 cents,

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 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.

Any note will only appear in major scales from any of its minor sixth major scale notes (for example, C is the minor sixth note from E and E will only appear in C, D, E, F, G, A and B major scales).

subminor sixth
Inversesupermajor third
Name
Abbreviationm6
Size
Semitones8
Interval class4
Just interval14:9[9] or 63:40
Cents
Equal temperament800
24 equal temperament750
Just intonation765 or 786
Other Languages
فارسی: ششم کوچک
italiano: Sesta minore
lietuvių: Mažoji seksta
日本語: 短六度
中文: 小六度