Unicorn comma

Interval information

Ratio	1594323/1562500
Factorization	2-2 × 313 × 5-8
Monzo	[-2 13 -8⟩
Size in cents	34.9053 ¢
Name	unicorn comma
Color name	Lg82, laquadbigu 2nd
FJS name	[math]\displaystyle{ \text{dd2}_{5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	41.1799
Weil norm (log2 max(n, d))	41.209
Wilson norm (sopfr(nd))	83
Comma size	medium
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The unicorn comma (ratio: 1594323/1562500, monzo: [-2 13 -8⟩), is a medium 5-limit comma measuring about 34.9 cents. Named by Paul Erlich in 2002, it is the amount by which five minor whole tones (10/9) fall short of three classic minor thirds (6/5).

It factors into simpler commas as (81/80)⋅(78732/78125), a syntonic comma and a sensipent comma.

Temperament

Tempering out this comma in the 5-limit leads to the unicorn temperament.

See Unicorn family for the family of temperaments where it is tempered out.

See also

• Syntonic–kleismic equivalence continuum