56/55

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Interval information
Ratio 56/55
Factorization 23 × 5-1 × 7 × 11-1
Monzo [3 0 -1 1 -1
Size in cents 31.19425¢
Names undecimal tritonic comma,
konbini comma
Color name 1uzg2, luzogu 2nd
FJS name [math]\text{m2}^{7}_{5,11}[/math]
Special properties superparticular,
reduced
Tenney height (log2 n⋅d) 11.5887
Weil height (max(n, d)) 56
Benedetti height (n⋅d) 3080
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.46588 bits
Comma size medium
S-expression S12 × S13 × S14
open this interval in xen-calc

56/55, the undecimal tritonic comma or konbini comma, is an 11-limit no-threes comma of about 31.2¢. It is the difference between 7/5 and 11/8 as well as the difference between 7/4 and 55/32. When used as an interval in its own right, 56/55 acts as a sort of small "unind"- a type cross between a unison and a second.

See also