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 | 466.85075¢ |
Name | werckismic subfourth |
Color name | 1ory3, loruyo 3rd |
FJS name | [math]\text{M3}^{5,11}_{7}[/math] |
Special properties | reduced |
Tenney height (log_{2} 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.