Mirkwai comma

Interval information

Ratio	16875/16807
Factorization	33 × 54 × 7-5
Monzo	[0 3 4 -5⟩
Size in cents	6.990326¢
Name	mirkwai comma
FJS name	[math]\displaystyle{ \text{dddd}{-4}^{5,5,5,5}_{7,7,7,7,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	28.0794
Weil height (log2 max(n, d))	28.0852
Wilson height (sopfr(nd))	64
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The mirkwai comma (16875/16807) is a 7-limit small comma measuring about 6.99033 cents. It is tempered out in temperaments such as miracle, octoid, semisept, grendel, kwai, pluto, and mirkat.

Temperament

Tempering this comma out leads to the rank-3 mirkwai family of temperaments, in which the main rank-3 temperament is like canopus but with another dimension for twos.

See also

• Mirkwai family, the rank-3 family where this comma is tempered out.
• Mirkwai clan, a collection of rank-2 temperaments where it is tempered out.
• Small comma