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 ==
[[18edo]] has such a large error on 3/2 that it treats this interval as a comma, this interval being a difference between 11 perfect fifths of [[3/2]] and 7 octaves.


== See also ==
== See also ==

Revision as of 16:53, 20 December 2023

Interval information
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]\displaystyle{ \text{d6} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 35.4346
Weil norm (log2 max(n, d)) 36
Wilson norm (sopfr(nd)) 69
Open this interval in xen-calc

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

18edo has such a large error on 3/2 that it treats this interval as a comma, this interval being a difference between 11 perfect fifths of 3/2 and 7 octaves.

See also