Unicorn comma

From Xenharmonic Wiki
Jump to navigation Jump to search
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]\text{dd2}_{5,5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 41.1799
Weil height (log2 max(n, d)) 41.209
Wilson height (sopfr(nd)) 83
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.51763 bits
Comma size medium
open this interval in xen-calc

1594323/1562500, the unicorn comma, is a 5-limit comma measuring about 34.9 ¢. 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).

Temperament

Tempering out this comma leads to the unicorn family of temperaments.