8/5

Interval information

Ratio	8/5
Factorization	23 × 5-1
Monzo	[3 0 -1⟩
Size in cents	813.6863¢
Name	classic/just minor sixth
Color name	g6, gu 6th
FJS name	[math]\displaystyle{ \text{m6}_{5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	5.32193
Weil height (log2 max(n, d))	6
Wilson height (sopfr(nd))	11
[sound info]
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In 5-limit just intonation, 8/5 is a minor sixth, measuring about 813.7¢. It is the 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¢) 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 also

• 5/4 – its octave complement
• Gallery of just intervals
• Wikipedia: Minor sixth