8/5
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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.15673 bits
[sound info]
Open this interval in xen-calc
| Interval information |
classic(al) minor sixth,
ptolemaic minor sixth
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
English Wikipedia has an article on:
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 ¢).