262144/177147

262144/177147, the Pythagorean diminished sixth, is a 3-limit interval. It is called a wolf fifth due to appearing in the circle of fifths in Pythagorean 12-note tuning. It is separated from the classical wolf fifth 40/27 by a schisma.

Interval information

Ratio	262144/177147
Factorization	218 × 3-11
Monzo	[18 -11⟩
Size in cents	678.495¢
Name	Pythagorean diminished sixth
Color name	sasawa 6th, ssw6
FJS name	[math]\displaystyle{ \text{d6} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	35.4346
Weil norm (log2 max(n, d))	36
Wilson norm (sopfr(nd))	69
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Temperaments

18edo has such a large error on 3/2 that it treats this interval as a comma, this interval being a difference between 11 perfect fifths of 3/2 and 7 octaves.

See also

• 177147/131072 – its octave complement
• Gallery of just intervals