55/42

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Interval information
Ratio 55/42
Factorization 2-1 × 3-1 × 5 × 7-1 × 11
Monzo [-1 -1 1 -1 1
Size in cents 466.85075¢
Name werckismic subfourth
Color name 1ory3, loruyo 3rd
FJS name [math]\text{M3}^{5,11}_{7}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 11.1737
Weil height (max(n, d)) 55
Benedetti height (n⋅d) 2310
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.57549 bits
open this interval in xen-calc

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.

See also