262144/177147: Difference between revisions
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'''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]]. | '''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]]. It is very closely approximated by [[23edo]]'s flat fifth of 13\23. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 13:37, 6 February 2025
| Interval information |
reduced subharmonic
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. It is very closely approximated by 23edo's flat fifth of 13\23.
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).