8/5: Difference between revisions
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{{Wikipedia|Minor sixth}} | |||
In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813. | In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}). | ||
== See also == | == See also == | ||
* [[5/4]] – its [[octave complement]] | * [[5/4]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:5-limit]] | [[Category:5-limit]] | ||
[[Category:Sixth]] | [[Category:Sixth]] | ||
[[Category:Minor sixth]] | [[Category:Minor sixth]] | ||
[[Category:Octave-reduced subharmonics]] | [[Category:Octave-reduced subharmonics]] | ||
Revision as of 17:36, 23 March 2022
| Interval information |
reduced subharmonic
[sound info]
In 5-limit just intonation, 8/5 is a minor sixth, measuring about 813.7 ¢. It is the octave-reduced fifth subharmonic, and thus the inversion of 5/4, the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of 16/15 (about 111.7 ¢) sharp of 3/2, and a syntonic comma (81/80, about 21.5 ¢) sharp of the Pythagorean minor sixth of 128/81 (about 792.2 ¢).