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
Comma size	small
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The mirkwai comma (16875/16807) is a 7-limit small comma measuring about 6.99 cents.

Temperaments

Tempering this comma out alone in the 7-limit leads to the rank-3 mirkwai family of temperaments, in which the main rank-3 temperament mirkwai is like canopus but with another dimension for twos. It is tempered out in rank-2 temperaments such as miracle, octoid, semisept, grendel, kwai, pluto, and mirkat. See mirkwai clan for a collection of rank-2 temperaments where it is tempered out. Also known as BP's "small diesis a" (Bohlen, www.huygens-fokker.org/bpsite/names.html).

See also

• Small comma