8/5
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Ratio | 8/5 |
Factorization | 2^{3} × 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 (log_{2} nd) | 5.32193 |
Weil height (log_{2} 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 ¢).