56/55

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, Luzogu comma
FJS name	[math]\displaystyle{ \text{m2}^{7}_{5,11} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	11.5887
Weil height (log2 max(n, d))	11.6147
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.47346 bits
Comma size	medium
S-expression	S12 × S13 × S14
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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, between 7/4 and 55/32, and between 5/4 and 14/11. 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

• Medium comma
• List of superparticular intervals