Unicorn comma: Difference between revisions

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'''1594323/1562500''', the '''unicorn comma''', is a [[5-limit]] [[comma]] measuring about 34.9{{cent}}. Named by [[Paul Erlich]] in 2002, it is the amount by which five [[10/9|minor whole tones (10/9)]] fall short of three [[6/5|classic minor thirds (6/5)]].
The '''unicorn comma''' ([[ratio]]: 1594323/1562500, {{monzo|legend=1| -2 13 -8 }}), is a [[medium comma|medium]] [[5-limit]] [[comma]] measuring about 34.9 [[cent]]s. Named by [[Paul Erlich]] in 2002, it is the amount by which five [[10/9|minor whole tones (10/9)]] fall short of three [[6/5|classic minor thirds (6/5)]].
 
It factors into simpler commas as (81/80)⋅(78732/78125), a [[syntonic comma]] and a [[sensipent comma]].  


== Temperament ==
== Temperament ==
Tempering out this comma leads to the [[unicorn family]] of temperaments.
[[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]]


[[Category:Unicorn]]
[[Category:Unicorn]]
 
[[Category:Commas with unknown etymology]]
{{todo|expand}}

Latest revision as of 12:19, 28 August 2026

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
Open this interval in xen-calc

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