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 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]]. | ||
== Temperaments == | == Temperaments == | ||
In [[compton]] temperament, this interval and [[3/2]] are tempered together, because the | 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). | 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). | ||