5/3: Difference between revisions
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| Monzo = 0 -1 1 | | Monzo = 0 -1 1 | ||
| Cents = 884.35871 | | Cents = 884.35871 | ||
| Name = classic major sixth | | Name = classic/just major sixth | ||
| Color name = y6, yo 6th | | Color name = y6, yo 6th | ||
| FJS name = M6<sup>5</sup> | | FJS name = M6<sup>5</sup> | ||
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5/3 has a more mellow sound than 27/16, owing to its relative smallness. | 5/3 has a more mellow sound than 27/16, owing to its relative smallness. | ||
== Approximation == | |||
It is very accurately approximated by [[19edo]] (14\19), and hence the [[enneadecal]] temperament. | It is very accurately approximated by [[19edo]] (14\19), and hence the [[enneadecal]] temperament. | ||
== See also == | == See also == | ||
* [[6/5]] – its [[octave complement]] | * [[6/5]] – its [[octave complement]] | ||
* [[Gallery of | * [[Gallery of just intervals]] | ||
* [[Wikipedia: Major sixth]] | * [[Wikipedia: Major sixth]] | ||
Revision as of 13:47, 9 September 2021
| Interval information |
[sound info]
In 5-limit Just Intonation, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the harmonic series, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is 6/5, the 5-limit minor third. It differs from the Pythagorean major sixth of 27/16 (about 905.9¢) by the syntonic comma of 81/80 (about 21.5¢). This means that in systems which temper out the syntonic comma, such as 12edo and meantone systems, 5/3 and 27/16 are conflated.
5/3 has a more mellow sound than 27/16, owing to its relative smallness.
Approximation
It is very accurately approximated by 19edo (14\19), and hence the enneadecal temperament.