55/54

Interval information

Ratio	55/54
Factorization	2-1 × 3-3 × 5 × 11
Monzo	[-1 -3 1 0 1⟩
Size in cents	31.76665¢
Name	undecimal diasecundal comma eleventyfive comma
Color name	1oy1 = loyo 1sn
FJS name	[math]\displaystyle{ \text{P1}^{5,11} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	11.5362
Weil height (log2 max(n, d))	11.5627
Wilson height (sopfr(nd))	27
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The undecimal diasecundal comma or eleventyfive comma is an 11-limit superparticular interval that marks the difference between 5/3, the major sixth, and 18/11, the undecimal neutral sixth. This means that 5/3 and 18/11 are equated when this comma is tempered out. EDOs that temper out this interval include 5, 7, 8, 10, 15, 17, 22, 27, 29, 30, 32, 37, 42, 44, 51, 54, 59 and 66. When treated as an interval in its own right, it acts as a sort of chroma much like 33/32, from which it differs by a syntonic comma. Furthermore, when the keenanisma is tempered out, 55/54 is equated with 64/63, and it is partially on this basis that one can reasonably make the argument that 64/63 can act as the septimal equivalent for 55/54.

See also

• Gallery of just intervals