User:Sonia/Major sixth
| Inverse | minor third | |
|---|---|---|
| Name | ||
| Other names | septimal major sixth, supermajor sixth | |
| Abbreviation | M6 | |
| Size | ||
| Semitones | 9 | |
Play (help·info)A major sixth is the larger of two commonly occurring musical intervals that span six diatonic scale degrees. The prefix 'major' identifies it as being the larger of the two (by a chromatic semitone); its smaller counterpart being a minor sixth. The major 6th is abbreviated as M6, and its inversion is the minor third. Its most common occurrence is between the third and (upper) root of minor chords.
A major sixth in just intonation most often corresponds to a pitch ratio of 5:3 (play (help·info)), or 884 cents, while in 12-tone equal temperament, a major sixth is equal to nine semitones, or 900 cents, 15.641 cents higher than the just major sixth and 33 cents lower than the 12:7 septimal major sixth or supermajor sixth of 933 cents[1]. The Pythagorean major sixth, or 27th harmonic, is 16:27 or 906 cents,[1] constructed from three just perfect fifths (C-A = C-G-D-A = 702+702+702=2106-1200=906), and is equivalent to the subminor sixth.
The major sixth is one of consonances of common practice music, along with the unison, octave, perfect fifth, major and minor thirds, minor 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 sharp, to the Pythagorean major sixth of 27/16. In just intonation, the major sixth is classed as a consonance of the 5-limit. A major sixth is also used in transposing music to E-flat instruments, like the alto clarinet, alto saxophone, E-flat tuba, trumpet and horn (instrument) when in E-flat as a written C sounds like E-flat on those instruments.
The septimal major sixth is approximated in 53 tone equal temperament by an interval of 41 steps or 928 cents.
See also[change | change source]
Sources[change | change source]
- ↑ 1.0 1.1 Hermann L. F Von Helmholtz (2007). On the Sensations of Tone, p.456. ISBN 1602066396.