262144/177147: Difference between revisions
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'''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]]. | '''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 com'''pliance' pun from that page). | |||
== See also == | == See also == | ||
Revision as of 09:20, 16 July 2024
| Interval information |
reduced subharmonic
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).