Oquatonic comma

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Interval information
Factorization 2-65 × 528
Monzo [-65 0 28
Size in cents 16.783988¢
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
open this interval in xen-calc

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[1].

Notes