5/3: Difference between revisions
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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. | ||
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 Just Intervals]] | * [[Gallery of Just Intervals]] | ||
* [[Wikipedia:Major sixth | * [[Wikipedia: Major sixth]] | ||
[[Category:5-limit]] | [[Category:5-limit]] | ||
Revision as of 05:40, 5 January 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.
It is very accurately approximated by 19edo (14\19), and hence the enneadecal temperament.