Canopic comma

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.

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 norm (log2 nd)	28.0794
Weil norm (log2 max(n, d))	28.0852
Wilson norm (sopfr(nd))	64
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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