262144/177147
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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]\text{d6}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
35.4346
Weil height (log2 max(n, d))
36
Wilson height (sopfr(nd))
69
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.26864 bits
open this interval in xen-calc
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
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.
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).