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Interval information
Ratio 8/5
Factorization 23 × 5-1
Monzo [3 0 -1
Size in cents 813.68629¢
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
Tenney height (log2 nd) 5.32193
Weil height (log2 max(n, d)) 6
Wilson height (sopfr (nd)) 11
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.55412 bits

[sound info]
open this interval in xen-calc
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 ¢).

See also


  1. For reference, see 5-limit.