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 (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 | |
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.