32/27

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]
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The Pythagorean minor third of 32/27 is the interval between 9/8 and 4/3 which arises naturally in 3-limit just intonation. Compared to the more typical 6/5- with which it is conflated in meantone- this interval is more dissonant, with a harmonic entropy level roughly on par with that of 9/8.

It is 352/351 sharp of 13/11, and tempering 352/351 out equates it with 13/11 and leads to minthmic chords.

See also

• 27/16 – its octave complement
• 81/64 – its fifth complement
• 9/8 – its fourth complement
• Gallery of just intervals
• Pythagorean tuning