262144/177147
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
262144/177147, the Pythagorean diminished sixth, is a 3-limit interval. It is often 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.
Approximation
Like any 3-limit intervals, this interval is well approximated by any equal tuning with accurate octaves and fifths. It is very closely, though inconsistently approximated by 23edo's flat fifth of 13\23. The first superset of 23edo that consistently approximates it is 23 × 11 = 253edo.
Temperaments
In compton temperament, this interval and 3/2 are tempered together, because the Pythagorean comma (531441/524288) is tempered out.
If this interval itself is taken as a comma to be tempered out, it leads to the malicious temperament, and the interval can be called the malicious comma (the origin of the "malicious compliance" pun from that page).