8/5: Difference between revisions
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{{Wikipedia|Minor sixth}} | {{Wikipedia|Minor sixth}} | ||
In [[5-limit]] [[just intonation]], '''8/5''' is the '''just''', '''classic(al)''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5 | In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, 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]] | ||
* [[15/8]] – its [[twelfth complement]] | |||
* [[Ed8/5]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
{{todo|expand}} | |||
== Notes == | == Notes == | ||
Latest revision as of 23:57, 26 October 2024
| Interval information |
classic(al) minor sixth,
ptolemaic minor sixth
reduced subharmonic
[sound info]
In 5-limit just intonation, 8/5 is the just minor sixth, classic(al) minor sixth, or ptolemaic minor sixth[1], 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 ¢).