Oquatonic comma: Difference between revisions

Interval information
Factorization	2-65 × 528
Monzo	[-65 0 28⟩
Size in cents	16.78399¢
Name	Oquatonic comma
FJS name	[math]\displaystyle{ \text{16d}{-8}^{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	130.014
Weil norm (log2 max(n, d))	130.028
Wilson norm (sopfr(nd))	270
Comma size	small
	Open this interval in xen-calc

Revision as of 15:40, 12 November 2024

The oquatonic comma (monzo: [-65 0 28⟩) is a small 5-limit comma of about 16.784 cents. It is the amount by which a stack of twenty-eight classical major thirds falls short of sixty-five octaves.

Tempering out this comma results in the 5-limit version of the oquatonic temperament.

This comma was named by Petr Pařízek in 2011 in terms of the corresponding temperament, oquatonic^[1].

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-The '''oquatonic comma''' is an interval of about 16.784 cents. It has the monzo [-65 0 28⟩ and the ratio '''235298 / 234375'''.
+The '''oquatonic comma''' ({{monzo|legend=1| -65 0 28 }}) is a [[small comma|small]] [[5-limit]] [[comma]] of about 16.784 [[cent]]s. It is the amount by which a stack of twenty-eight [[5/4|classical major thirds]] falls short of sixty-five [[octave]]s.
-It defines the [[oquatonic]] temperament.
+== Temperaments ==
+[[Tempering out]] this comma results in the 5-limit version of the [[oquatonic]] temperament.
-[[Category:Commas with unknown etymology]]
+== Etymology ==
+This comma was named by [[Petr Pařízek]] in 2011 in terms of the corresponding temperament, oquatonic<ref>See [[Horwell temperaments #Oquatonic]] for sources.</ref>.
+== Notes ==
+[[Category:Commas named for their regular temperament properties]]