8/3

8/3, the perfect eleventh, is the ratio between the 3rd and 8th harmonics; one octave above 4/3. See also ed8/3.

Interval information

Ratio	8/3
Factorization	23 × 3-1
Monzo	[3 -1⟩
Size in cents	1698.045¢
Name	perfect eleventh
Color name	w11, wa 11th
FJS name	[math]\displaystyle{ \text{P11} }[/math]
Tenney norm (log2 nd)	4.58496
Weil norm (log2 max(n, d))	6
Wilson norm (sopfr(nd))	9
[sound info]
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Chord construction

Notably, 8/3 can be used as a framework for chords, but the usage of 8/3 as a framework for chords is intimately connected with the use of perfect fifths in the same capacity- at least in octave-equivalent systems- due to the same pitch classes being involved in both 4:5:6 and 3:5:8 where 5 is kept as the same note, thus rendering the two chords as different voicings of the same underlying harmonic unit.