8/5

Interval information

Ratio	8/5
Factorization	23 × 5-1
Monzo	[3 0 -1⟩
Size in cents	813.6863¢
Names	just minor sixth, classic(al) minor sixth, ptolemaic 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]
Open this interval in xen-calc

English Wikipedia has an article on:

Minor sixth

In 5-limit just intonation, 8/5 is the just minor sixth, classic(al) minor sixth, or ptolemaic 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 ¢).

See also

• 5/4 – its octave complement
• 15/8 – its twelfth complement
• Gallery of just intervals