55/42
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Ratio
55/42
Factorization
2-1 × 3-1 × 5 × 7-1 × 11
Monzo
[-1 -1 1 -1 1⟩
Size in cents
466.8507¢
Name
werckismic subfourth
Color name
1ory3, loruyo 3rd
FJS name
[math]\text{M3}^{5,11}_{7}[/math]
Special properties
reduced
Tenney height (log2 nd)
11.1737
Weil height (log2 max(n, d))
11.5627
Wilson height (sopfr(nd))
28
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.26853 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
55/42 the werckismic subfourth, is 441/440 (3.9 cents) flat of 21/16, and 385/384 (4.5 cents) sharp of 64/49. It arises in 11-limit JI scales as the interval between 16/11 and 40/21, and between 21/16 and 55/32.
Terminology
It has been called keenanismic ultramajor third, despite that 64/49 is a more complex interval.