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	meantone diesis, meantone kleisma
FJS name	[math]\displaystyle{ \text{m2}^{7}_{55} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	11.5887
Weil height (log2 max(n, d))	11.6147
Wilson height (sopfr(nd))	29
Open this interval in xen-calc

56/55 = [3 0 -1 1 -1⟩ is an 11-limit no-threes comma of about 31.2 ¢, and is the difference between 7/5 and 11/8.

In unidecimal meantone, it's a meantone diesis. In meanpop, it's a meantone kleisma.

See also

• Medium comma