32/27

The Pythagorean minor third of 32/27 is the interval between 9/8 and 4/3 which arises naturally in 3-limit just intonation. It is 352/351 sharp of 13/11, and tempering 352/351 out equates it with 13/11 and leads to minthmic chords.

Interval information

Ratio	32/27
Factorization	25 × 3-3
Monzo	[5 -3⟩
Size in cents	294.135¢
Name	Pythagorean minor third
Color name	w3, wa 3rd
FJS name	[math]\displaystyle{ \text{m3} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	9.75489
Weil norm (log2 max(n, d))	10
Wilson norm (sopfr(nd))	19
[sound info]
Open this interval in xen-calc

See also

• Gallery of Just Intervals
• 27/16 - its octave complement