5/3

In 5-limit Just Intonation, 5/3 is a major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the harmonic series, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is 6/5, the 5-limit minor third. It differs from the Pythagorean major sixth of 27/16 (about 905.9¢) by the syntonic comma of 81/80 (about 21.5¢). This means that in systems which temper out the syntonic comma, such as 12edo and meantone systems, 5/3 and 27/16 are conflated.

Interval information

Ratio	5/3
Factorization	3-1 × 5
Monzo	[0 -1 1⟩
Size in cents	884.3587¢
Name	major sixth
Color name	y6, yo 6th
FJS name	[math]\displaystyle{ \text{M6}^{5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	3.90689
Weil norm (log2 max(n, d))	4.64386
Wilson norm (sopfr(nd))	8
[sound info]
Open this interval in xen-calc

5/3 has a more mellow sound than 27/16, owing to its relative smallness.

See: Gallery of Just Intervals