Oquatonic comma

Interval information

Factorization	2-65 × 528
Monzo	[-65 0 28⟩
Size in cents	16.78399¢
Name	Oquatonic comma
FJS name	[math]\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 height (log2 nd)	130.014
Weil height (log2 max(n, d))	130.028
Wilson height (sopfr(nd))	270
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~3.2761 bits
Comma size	small
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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.

Temperaments

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

Etymology

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