8/5: Difference between revisions

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In [[5-limit]] [[Just intonation|Just Intonation]], 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th 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¢) away from [[3/2]], and an [[81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit]]) minor sixth of [[128/81]] (about 792.2¢).
In [[5-limit]] [[Just intonation|Just Intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7¢. It is the 5th [[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¢) away from [[3/2]], and an [[81/80]] (about 21.5¢) away from the Pythagorean ([[3-limit]]) minor sixth of [[128/81]] (about 792.2¢).


See: [[Gallery of Just Intervals]]
See: [[Gallery of Just Intervals]]


[[Category:5-limit]]
[[Category:5-limit]]
[[Category:interval]]
[[Category:Interval ratio]]
[[Category:just_interval]]
[[Category:Sixth]]
[[Category:ratio]]
[[Category:Minor sixth]]
[[Category:Listen]]
[[Category:Subharmonic]]

Revision as of 17:11, 8 September 2020

Interval information
Ratio 8/5
Factorization 23 × 5-1
Monzo [3 0 -1
Size in cents 813.6863¢
Name minor sixth
Color name g6, gu 6th
FJS name [math]\displaystyle{ \text{m6}_{5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 5.32193
Weil norm (log2 max(n, d)) 6
Wilson norm (sopfr(nd)) 11

[sound info]
Open this interval in xen-calc

In 5-limit Just Intonation, 8/5 is a minor sixth, measuring about 813.7¢. It is the 5th 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¢) away from 3/2, and an 81/80 (about 21.5¢) away from the Pythagorean (3-limit) minor sixth of 128/81 (about 792.2¢).

See: Gallery of Just Intervals